Answer:
Factors of the constant term
Step-by-step explanation:
A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the constant term.
The correct option is (2).
What is rational roots of a polynomial?The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.
Given statement is:
A polynomial, P, has a leading coefficient of one and a constant term. The rational roots of P are all
We know by Rational Zeros Theorem states:
If P(x) is a polynomial with integer coefficients and if is a zero of P(x)
(P( ) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).
So, from the above statement it is clear that p is a factor of the constant term.
Hence, The rational roots of P are all factors of the constant term.
Learn more about Rational Zeros here:
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Solve for y.
y – (–19) = 25
A.
–44
B.
–6
C.
6
D.
44
Answer:
C
Step-by-step explanation:
note that - (- 19) = + 19
Given
y - (- 19) = 25, that is
y + 19 = 25 ( subtract 19 from both sides )
y = 6 → C
Answer:
Answer is C. 6
Step-by-step explanation:
Because:
y -(-19) = 25 (well i always put a 1 infront of parenthesis) so,
y -1(-19) =25 distribute the 1 in the parenthesis and you would get
19=25 minus 19 on both sides and you get y= 6
Hope my answer has helped you!
Can someone please help me out ?
Answer:
b = 14 unitsStep-by-step explanation:
The formula of an area of a parallelogram:
A = bh
b - base
h - height
We have A = 140 units², and h = 10 units. Substitute:
140 = 10b divide both sides by 10
14 = b → b = 14 units
What is the range of P=3,000(1/1,000)
Answer:
p = 3
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(3000*(1/1000))=0
Step by step solution :
Step 1 :
1
Simplify ————
1000
Equation at the end of step 1 :
1
p - (3000 • ————) = 0
1000
Step 2 :
Equation at the end of step 2 :
p - 3 = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : p-3 = 0
Add 3 to both sides of the equation :
p = 3
Please mark brainliest and have a great day!
there are 8 finalist in the spelling bee. The order of the contestants will be determined by a random draw. How many different orders are possible for the spelling bee?
Answer: Option C
(C ) 96
Step-by-step explanation:
The correct answer would be C, which is 96.
You're Welcome!
How do you divide (m^(3)- 13m^(2)+24m+18)div(m-3) using synthetic division step by step?
Answer:
The quotient is: m^2-10m-6
The remainder is: 0
Step-by-step explanation:
We need to divide m^3-13m^2+24m+18 ÷ m-3 using synthetic division
The division is shown in the figure below.
The quotient is: m^2-10m-6
The remainder is: 0
PLEASE HELP
Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C.She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=−79x+149.
Which answer explains the pattern for how to find the slope using an equation in standard form?
A.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −BA.
B.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −AB.
C.In slope-intercept form, the slope is 149.. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is −CA.
D.=In slope-intercept form, the slope is 149. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is −CB.
Answer:
B.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −AB.
Step-by-step explanation:
A is being moved to the other side of the equation so it has to be negative and is multiplied by B since the y value has to be divided to equal the base of y not 9y but y.
Enter the amplitude of the function. f(x)=3cosx
Answer:
amplitude = 3
Step-by-step explanation:
given a cosine function in standard form, that is
y = acosx, then
amplitude = | a |
Hence for f(x) = 3cosx, amplitude = | 3 | = 3
Final answer:
The amplitude of the function f(x) = 3cosx is 3, as the amplitude is the coefficient in front of the cosine function.
Explanation:
The amplitude of a trigonometric function like f(x) = 3cosx can be found by looking at the coefficient in front of the cosine function. In this case, the function f(x) = 3cosx has an amplitude of 3. This is because the amplitude of cosx or sinx is the absolute value of the coefficient multiplied by the cosine or sine function, which dictates how much the wave's peak or valley deviates from the center line of the graph. For example, if the function was f(x) = A cosx, the amplitude would be the absolute value of A. Since there is no negative sign or other function manipulating the 3 in f(x) = 3cosx, the amplitude is simply 3.
What are the solution(s) to the quadratic equation x2 – 25 = 0?
O x = 5 and x = -5
OX=25 and x = -25
O x = 125 and x = -125
O no real solution
[tex]x^2 - 25 = 0\\x^2=25\\x=-5 \vee x=5[/tex]
Answer:
x = ± 5
Step-by-step explanation:
Given
x² - 25 = 0
There are 2 possible approaches to solving this equation
Approach 1
add 25 to both sides
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Approach 2
x² - 25 ← is a difference of squares and factors as
(x - 5)(x + 5) = 0 ← in standard form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 5 = 0 ⇒ x = 5
What is the area of a regular hexagon if a side is 30
[tex]1350\sqrt{3}[/tex] square units (approximately 2338.26859)
Step-by-step explanation:The formula for finding the area of a regular hexagon when you know its side length is [tex]A=\frac{3\sqrt{3}*s^2}{2}[/tex], where [tex]A[/tex] is the area and [tex]s[/tex] is the side length.
Substitute in the side length. [tex]A=\frac{3\sqrt{3}*30^2}{2}[/tex]Simplify the exponent. [tex]A=\frac{3\sqrt{3}*900}{2}[/tex]Multiply. [tex]A=\frac{2700\sqrt{3}}{2}[/tex]Divide. [tex]A=1350\sqrt{3}[/tex][tex]1350\sqrt{3}[/tex] is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.
The graph of a function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and increasing?
all real values of x where x<-2
all real values of x where -2
Answer:
1. (2, -9)
2. ( 0,-5)
Mia spent 30 minutes answering the math questions on the exam. This was 1/4 of the total amount of time allotted for this section of the exam. To determine the total amount of time allotted for this section of the exam, Mia set up and solved the equation as shown below.
Which best describes the error that Mia made when solving the equation?
Answer:
Mia multiplied one side of the equation by 5/3 and the other side by 3/5. This makes the equation unbalanced and untrue. x should be 50
Step-by-step explanation:
Mia made an error when setting up the equation to determine the total time allotted for the math section of the exam. She incorrectly set up the equation as 30 = (1/4) * x, instead of 30 = (1/4) * x. The correct solution is x = 120.
Explanation:Mia made an error when setting up the equation to determine the total amount of time allotted for the math section of the exam. Since Mia spent 30 minutes answering the math questions, which was 1/4 of the total time, the correct equation should be:
30 = (1/4) * x
To solve for x, we need to multiply both sides of the equation by 4 to undo the division:
4 * 30 = x
x = 120
Therefore, the total amount of time allotted for the math section of the exam is 120 minutes, not 30 minutes as Mia mistakenly calculated.
Big Bob’s Pizza is having a special on pizza and is offering two different choices: Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95. Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75. Which choice will give you more pizza for your money? Justify your answer using numbers and words.
Choice #1 is better
Step-by-step explanation:To find the solution to this problem, we have to compute the are in each case, and divide each value by the corresponding cost in order to find the cost per square. The lower the cost, the better the offer because it will give you more pizza for your money Thus:
CHOICE 1:
Here the offer of Big Bob’s Pizza gives one slice of pizza from a pizza with a 22 inches diameter (then the radius is 11 inches) and is cut into 8 slices, so the area for the first entire pizza is:
[tex]A_{1}=\pi r^2=\pi(11)^2 \\ \\ A_{1}=121 \pi in^2[/tex]
Each slice has an area of:
[tex]A_{slice}=\frac{121 \pi}{8} \\ \\ A_{slice}=47.51in^2[/tex]
Finally, the cost per square inch is:
[tex]C=\frac{4.95\$}{47.51in^2}=0.10\$[/tex]
CHOICE 2:
Here the offer of Big Bob’s Pizza gives: An entire personal-size pizza that has a diameter of 6 inches (then the radius is 3 inches), so the area for the entire pizza is:
[tex]A_{2}=\pi r^2=\pi(3)^2 \\ \\ A_{2}=28.27 in^2[/tex]
Finally, the cost per square inch is:
[tex]C=\frac{3.75\$}{28.27in^2}=0.13\$[/tex]
CONCLUSION: Choice #1 gives you more pizza for your money because the cost per square inch is less than the other option.
The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.
Further Explanationa. Find the radius of each pizza.
Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.
Choice #1: One slice of a pizza with a 22 inch diameter and is cut into 8 slices. Since the diameter is the distance across the pizza, 22 inch diameter means the pizza is 22 inches wide. The area formula uses the radius or half the diameter. The radius of choice #1 is 11 inches.Choice #2: An entire personal-size pizza that has a diameter of 6 inches. Here the radius is half of 6 inches. The radius of choice #2 is 3 inches.b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].
Choice #1: Substitute r = 11 into the formula then divide by 8 to find the area of one slice or serving.[tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]
The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]
Choice #2: Substitute r = 3 into the formula. This is a personal pizza so the entire pizza is a serving.[tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]
c. Divide each area by the price.
The cost of Choice #1 is $4.95. Since the serving size is 1 slice, use the area of the slice 47.49. Divide it into the price to find the cost per square inch of one serving.[tex]\frac{4.95}{47.49} = 0.10[/tex]
The cost of Choice#2 is $ 3.75. Since the serving serving size is the entire personal pizza, use the area of the pizza 28.26.[tex]\frac{3.75}{28.26} = 0.13[/tex]
Learn More Area and Circumference of a Circle Application: https://brainly.com/question/3519879 Cost per unit: https://brainly.com/question/11521316Answer DetailsGrade: 8th Grade
Subject: Geometry
Chapter: Applications for Area of Shapes
Keywords: circle, area, radius, diameter, cost, unit rate
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How do you: Find the 4th term of (x-2y)^6
To find the 4th term of (x-2y)^6, you can use the binomial expansion formula. The 4th term is 240x^2y^4.
To find the 4th term of (x-2y)^6, we can use the binomial expansion formula. The formula is: (a+b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nC(n-1) * a^1 * b^(n-1) + nCn * a^0 * b^nIn this case, a = x, b = -2y, and n = 6. So we have: (x-2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6To find the 4th term, we need to find the term with the exponent of x^2 * (-2y)^4. This occurs when nCr = 6C4. Using the formula, we have: 6C4 = 6! / (4! * 2!) = 15Therefore, the 4th term of (x-2y)^6 is 15 * x^2 * (-2y)^4, which simplifies to 15x^2 * 16y^4 = 240x^2y^4.
To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
Explanation:To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
The formula is: (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn * a^0 * b^n
Where nCk represents the binomial coefficient, which can be calculated as n! / (k! * (n-k)!)
In this case, a = x and b = -2y.
The exponents will go from 6 down to 0, and we need to find the term with k = 4.
Let's substitute these values into the formula:
(x - 2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6
To find the 4th term, we look at the term with k = 4. Using the binomial coefficient:
6C4 = 6! / (4! * (6-4)!)
= 15
Substituting this back into the formula, we get:
15 * x^2 * (-2y)^4
Help! What is the equation on the graph. I have tried x^2+1 and it marks it incorrect
Answer:
[tex]y=2x^{2}+1[/tex]
Step-by-step explanation:
we know that
The graph is a vertical parabola open upward
The vertex is the point (0,1)
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
substitute the vertex in the equation
[tex]y=a(x-0)^{2}+1[/tex]
[tex]y=a(x)^{2}+1[/tex]
Find the value of coefficient a
Observing the graph
For x=1, y=3
substitute in the equation
[tex]3=a(1)^{2}+1[/tex]
[tex]a=3-1=2[/tex]
The equation on the graph is equal to
[tex]y=2x^{2}+1[/tex]
WILL GIVE YOU BRAINLIEST + 22 POINT QUESTION!
which expression is equivalent to sqrt 55 x^7 y^6 / 11 x^11 y^8?
assume x > 0 and y > 0
Answer:
√55x\11x⁸y⁵
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer: C
Explanation:
√55x⁷y⁶/11x¹¹y⁸
→ 55/11 = 5
→ x⁷/x¹¹= x⁷⁻¹¹= x⁻⁴
→ y⁶/y⁸= y⁶⁻⁸= y⁻²
→ √5/x⁴y²
→ √5/x²y
If the exponent is a negative, the base is the reciprocal of itself with a positive exponent.
Ex: 6⁻² = 1/6² = 1/36
The square root of an exponent with a positive, even power is half of that power.
Ex: √x⁴ = x²
Writing a quadratic equation given the roots and the leading coefficient
6,-4,1
[tex]\bf x= \begin{cases} 6\\ -4 \end{cases}\implies \begin{cases} x=6\implies &x-6=0\\ x=-4\implies &x+4=0 \end{cases} \\\\\\ (x-6)(x+4)=\stackrel{y}{0}\implies \stackrel{\mathbb{F~O~I~L}}{1x^2-2x-24}=y[/tex]
Re-write the equation 3x - y = 4 in slope-intercept form.
a. y = 3x -4
b. y = 3x + 4
C. y=-3x
D. y=-3x+4
Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x - y = 4 into this form ( add y to both sides )
3x = y + 4 ( subtract 4 from both sides )
3x - 4 = y OR y = 3x - 4 → a
Final answer:
The equation 3x - y = 4 is rewritten in slope-intercept form as y = 3x - 4, where the slope is 3 and the y-intercept is -4, corresponding to answer option A.
Explanation:
To rewrite the equation 3x - y = 4 in slope-intercept form (y = mx + b), we need to solve the equation for y.
Here are the steps:
Add y to both sides of the equation: 3x = y + 4.
Subtract 4 from both sides of the equation: y = 3x - 4.
Therefore, the equation in slope-intercept form is y = 3x - 4. This represents a line with a slope of 3 and a y-intercept of -4. So the correct answer is option A: y = 3x - 4.
Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share 4/5 of a pizza. Which statement best explains why Teagan is correct or incorrect?
Answer: sorry i meant 7.5 would be incorrect
Step-by-step explanation: she wouldn't be able to do it if it goes over 6 so that is incorrect
Answer:
Teagan is correct.
Step-by-step explanation:
We are given the following information in the question:
Number of friends = 6
Pizza eaten by all friends = [tex]\frac{4}{5}[/tex]
Now, in order to find pizza eaten by each friend, Teagan need to divide pizza eaten by total number of friends.
Formula:
[tex]\text{Pizza eaten by each friend} = \displaystyle\frac{\text{Total pizza eaten}}{\text{Number of friends sharing the pizza}}\\\\= \displaystyle\frac{\frac{4}{5}}{6} = \displasystyle\frac{4}{30} = \displaystyle\frac{2}{15}[/tex]
Thus, each friend had [tex]\frac{2}{15}[/tex] of a pizza.
please help quick. thanks
Answer:
The number in the square root is 50.
Step-by-step explanation:
Using the pythagorean theorem, we know that c is 10, so we plug in 2a^2=100, since we know that both of the leg lengths are the same.
Simplifying this equation gives a^2=50, which square rooting both sides gives
a = sqrt(50)
Hope this helps!
Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256
Select one:
a. 1024
b. 1025
c. 4096
d. 1022
Answer:
Option A is correct.
Step-by-step explanation:
Given terms,
1 , 4 , 16 , 64 , 256.
If we observe the equation, we can easily say that the terms are getting multiplied by 4 to get the next one.
Since this equation has a common ratio, this can be solved by using the properties of geometric progressions.
From the properties of geometric progressions :
nth term = a r^( n - 1 ) , where a is the first term, r is the common ratio between the terms and n is the number of terms.Here,
Common Ratio ( or r ) = any term( except first ) / previous terms = 64 / 16 = 16 / 4 = 4
First terms = 1
Therefore,
= > Next term should be : 1 x ( 4 )^( 6 - 1 ) { Since next term will be 6th term }
= > Next term = 1 x 4^5
= > Next term = 1024
Hence the required next term is 1024.
Option A is correct.
Or
Here we can see that the terms are written in the form of 4^n where n is any whole number.
Since 246 is 4^4 , and terms are increasing in order of 1, next term should be 4^5 i.e. 1024 .
Thus, option A is correct.
Answer:
A
Step-by-step explanation: you times each one by 4
How are they getting the numerator and denominator for the fractions for the coordinates? PLEASE HELP ASAP!!!!! 20 POINTS!!!!
Answer:
All except from point E's y-coordinate (which is -1.5 (found it through the equation y=-1.5 and trying to see if these coordinates are solutions to the above equation) All the others are integers, which you can find through aligning the point on the axis of the chosen (y or x) coordinate.
Step-by-step explanation:
Point C has -2 x-coordinate since it is on the x=-2 line
Similarly, point D has -2 y coordinate,
point E has 2 x-coordinate and -1,5 y-coordinate
and point F , since it's the two axis' common point has coordinates of (0,0).
Hope I helped! Further explanation can be given on request on your behalf.
3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
Sophie, and together they have 30 cards. By writing and solving an equation, find out how
many cards Sophie owns. Show all of your working out.
Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
which is greater 5000 g or 10 lb
Answer:
5000 g
Step-by-step explanation:
5000 g = 11.02311 lb
10 lb = 4535.92
A pencil bag contains 20 red pencils. 12 pencils, and 10 green pencil, Carrie randomly selects a red pencil followed by a green pencil without replacement.
What is the probability that Carrie selects a red pencil followed by a green pencil?
Write the answer as a percent rounded to the nearest tenth of a percent.
Answer:
11.6%
Step-by-step explanation:
On the first selection, there are 20 red pencils out of 42 total pencils.
On the second selection, there are 10 green pencils out of 41 pencils left over.
So the probability is:
(20/42) (10/41)
100/861
≈11.6%
Solve 2(1 – x) > 2x.
First you must distribute the 2 to the numbers inside the parentheses, which would be 1 and -x...
(2 * 1) + (2 * -x) > 2x
2 + (-2x) > 2x
2 - 2x >2x
Add 2x to both sides (what you do on one side you must do to the other). Since 2x is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
2 - 2x + 2x > 2x + 2x
2 + 0 > 4x
2 > 4x
Next divide 4 to both sides to finish isolating x. Since 4 is being multiplied by x, division (the opposite of multiplication) will cancel 4 out (in this case it will make 4 one) from the right side and bring it over to the left side.
2/4 > 4x / 4
1/2 > x
or
x < 1/2
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x<1/2
Step-by-step explanation:
Expand.
↓
2(1-x)=2-2x
2-2x>2x
First, subtract by 2 from both sides of equation.
2-2x-2>2x-2
Simplify.
-2x>2x-2
Then subtract by 2x from both sides of equation.
-2x-2x>2x-2-2x
Simplify.
-4x>-2
Multiply by -1 from both sides of equation.
(-4)(-1)<(-2)(-1)
Simplify.
4x<2
Divide by 4 from both sides of equation.
4x/4<2/4
Simplify, to find the answer.
2/4=1/2
X<1/2 is the correct answer.
A taxicab starts at (1, −2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position?
The taxicab, after all its movements, is about 3.16 blocks away from its starting position. It ends up 3 blocks west and 1 block north from where it initially started.
Explanation:The question asks us to determine the final position of a taxicab relative to its starting position after following a series of movements. The taxicab's starting position in this case is at the coordinate (1, -2).
Initially, it goes 4 blocks south (downwards in the grid, which we'll regard as negative) and 3 blocks east (to the right on the grid, which we'll regard as positive). Therefore, it moves to a point that is (+3, -4) relative to its starting position.
Next, it goes 6 blocks west (left on the grid, which is negative) and 5 blocks north (up on the grid, which is positive). So, this movement's relative position is (-6, +5).
To find out the final position of the taxicab relative to its starting position, we need to add up these movements' relative positions. The final relative position will be (+3-6, -4+5), which equals (-3, 1).
Hence, in terms of blocks, the taxicab is 3 blocks west and 1 block north of its starting position. The direct distance to the start would then be determined using the Pythagorean theorem, where the total distance is the square root of the sum of the squares of the movements in each direction (x and y coordinates). That forms the equation √((-3)² + 1²) = √10 ≈ 3.16 blocks.
Learn more about Coordinate Grid Movement here:https://brainly.com/question/30065587
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What is the surface area of the right cylinder below?
Answer:
A≈622.04
Step-by-step explanation:
Formula: A=2πrh+2πr²
Answer: A. 622 sq. units
Step-by-step explanation:
The surface area of a cylinder is given by :-
[tex]S.A.=2\pi r(r+h)[/tex], where r is the radius , h is height of the cylinder.
Given : The height of the cylinder : h= 2 units
The radius of the cylinder : r= 9 units
Then , the surface area of a cylinder will be :-
[tex]S.A.=2(3.14159) 9(9+2)\\\\\Rightarrow\ S.A.=622.03482\approx622\text{sq. units}[/tex]
Which of the following best describes the algebraic expression x/3 -15
Answer:
A. A number divided by three minus fifteen.
A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].
Option A is correct.
What is an algebraic expression?An algebraic expression is a variable expression described using its terms, and operations on the terms. For example, x + 3 can be described as "3 more than x".
Given algebraic expression
[tex]\frac{x}{3}-15[/tex]
[tex]\frac{x}{3}[/tex] means a number is divided by three and [tex]\frac{x}{3}-15[/tex] means a number is divided by three minus fifteen.
A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].
Option A is correct.
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Which value represents |-100|?
A. -100
B. -10
C. 0
D. 100
Answer:
D. :)
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST is y=x^2-3 linear
Answer:
A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. ... if your first diffs are the same it is linear. if not it is not linear.
a LINEar equation is an equation with a polynomial of degree 1 and is the graph of a LINE, let's look at this one, y = x² - 3, notice the exponent of ², meaning is a 2nd degree equation, and is a parabola, so is namely a quadratic, not a linear one.