[tex]7x - (2x)2 + {x}^{3} [/tex]
[tex]7x - 4x + {x}^{3} [/tex]
[tex]3x + {x}^{3} [/tex]
[tex]3( - 2) + { (- 2)}^{3} [/tex]
[tex] - 6 + - 8[/tex]
[tex] - 14[/tex]
factor please help 30z^2-53z+12
Answer:
(2z - 3)(15z - 4)
Step-by-step explanation:
To factor the quadratic
Consider the factors of the product of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 30 × 12 = 360 and sum = - 53
The factors are - 45 and - 8
Use these factors to split the z- term
30z² - 45z - 8z + 12 ( factor the first/second and third/fourth terms )
= 15z(2z - 3) - 4(2z - 3) ← factor out (2z - 3)
= (2z - 3)(15z - 4) ← in factored form
Wyatt ate 1/12 of a banana. Shane ate 7/12 of a banana. How much more did Shane eat than Wyatt?
Answer:
7/12 - 1/12 = 6/12
Step-by-step explanation:
Answer:
The answer should be 6/12 or 1/2
30 points! I will give brainliest.
Consider the expression 6r – r + 8(15 – r) + 23 – 6 .
Part A Is –3r + 137 equivalent to the given expression? Write your answer in the space provided .
6r -4 +8(15-r) + 23
expand brackets
6r -4 +120 -8r + 23
collect like terms
120 + 23 - 4 = 139
6r - 8r = -2r
139 - 2r
139 - 2r = -3r + 137
-137 from both sides
-2r = -3r -2
add 3r
R = -2
sub in both equations and see if you get the same value
-3r + 137
-3 (-2) + 137
6 +137 = 143
139 - 2r
139 - 2(-2)
139 + 4
143
yes they are equal
Final answer:
After simplifying the given expression by combining like terms and using the distributive property, we find that the simplified form is indeed -3r + 137, which means it is equivalent to the original expression.
Explanation:
To determine if the expression -3r + 137 is equivalent to the given expression 6r – r + 8(15 – r) + 23 – 6, we need to simplify the given expression.
Let's simplify the given expression step-by-step:
Combine like terms: 6r - r = 5r.Distribute the 8 within the parentheses: 8(15) - 8(r) = 120 - 8r.Combine the constants: 23 - 6 = 17.Add the constant from step 3 to the constant from step 2: 120 + 17 = 137.Combine the results from steps 1 and 2: 5r - 8r = -3r.Add the results from steps 4 and 5 to get the simplified expression: -3r + 137.Therefore, the simplified form of the given expression is indeed -3r + 137, which means it is equivalent to the given expression.
Determine the translation.
A translation by___ units to the (right/left) and ___ units (up/down)
it went to the right 4 units and up 2 units
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are similar. True False
Answer:
True
Step-by-step explanation:
It was correct on my quiz
Consider the expression below. Place the steps required to determine the sum of the two expressions in the correct order. 3x+6/x^2-x-6 + 2x/x^2+x-12
Answer:
1) Factor the denominator and the numerator of each fraction.
2) Simplify.
3) Find the Least common denominator (LCD).
4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator (The LCD is the same denominator of the second fraction, so its numerator stays the same).
5) Apply Distributive property on the numerator and on the denominator.
6) Add like terms.
Step-by-step explanation:
The steps required to determine the sum of the two expressions are:
1) Factor the denominator and the numerator of each fraction:
[tex]\frac{3x+6}{x^2-x-6}+\frac{2x}{x^2+x-12}=\frac{3(x+2)}{(x-3)(x+2)}+\frac{2x}{(x-3)(x+4)}[/tex]
2) Simplify (Remember that [tex]\frac{(x+2)}{(x+2)}=1[/tex]):
[tex]\frac{3}{(x-3)}+\frac{2x}{(x-3)(x+4)}[/tex]
3) Find the Least common denominator (LCD). In this case this is:
[tex]LCD=(x-3)(x+4)[/tex]
4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator. As the LCD is the same denominator of the second fraction, its numerator stays the same:
[tex]=\frac{3(x+4)+2x}{(x-3)(x+4)}[/tex]
5) Apply Distributive property on the numerator and on the denominator:
[tex]=\frac{3x+12+2x}{x^2+x-12}[/tex]
6) Add like terms:
[tex]=\frac{5x+12}{x^2+x-12}[/tex]
Answer:
x-5 edg
Step-by-step explanation:
What are the solutions to the equation 3x-4y-8=12
Answer:
y= 3
--- X +1
4
Step-by-step explanation:
-4y=-3x-12+8
-4y=-3x+4
--- --- -
4 4 4
y= 3
--- X +1
4
If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n ≥ 8
There are 29 pencils in a basket. 7 of these pencils are green. The rest of them are yellow.
(A) what is the ratio of yellow pencinls to green pencils?
(b) what is the ratio of all pencils in the basket to yellow pencils
[tex]\huge\boxed{22:7}\ \huge\boxed{29:22}[/tex]
First, we need to find the number of yellow pencils in the basket. We'll represent the number of green pencils with [tex]g[/tex] and the number of yellow pencils with [tex]y[/tex].
[tex]\begin{aligned}7+y&=29&&\smash{\Big|}&&\text{Start with what we already know.}\\y&=22&&\smash{\Big|}&&\text{Subtract 7 from both sides.}\end{aligned}[/tex]
Our first ratio is [tex]y:g[/tex], or [tex]\boxed{22:7}[/tex].
The second ratio is [tex](g+y):y[/tex]:
[tex]\begin{aligned}(g+y)&:y\\(7+22)&:22\\29&:22\end{aligned}[/tex]
how many solutions can be found for the equation 4X equals 4X
ZERO
ONE
TWO
INFINITELY MANY
Answer: Simplifying
4x = 4x
Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Which value is equivalent to x-7/7-x
Answer:
[tex]\large\boxed{\dfrac{7-x}{x-7}=-1}[/tex]
Step-by-step explanation:
[tex]\dfrac{7-x}{x-7}=\dfrac{-(x-7)}{x-7}\\\\\text{cancel}\ (x-t)\\\\\dfrac{7-x}{x-7}=\dfrac{-1}{1}\\\\\dfrac{7-x}{x-7}=-1[/tex]
Answer:
-1
Step-By Step:
The Answer on Ed
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. Which expression represents the possible values of n, in feet? Express your answer in simplest terms. x – 1 < n < 3x + 5 n = 3x + 5 n = x – 1 3x + 5 < n < x – 1
Answer:
[tex]x-1<n<3x+5.[/tex]
Step-by-step explanation:
If a, b and c are the lengths of the triangle's sides, then
[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]
Since
[tex]a=2x+2,\\ \\b=x+3,\\ \\z=n,[/tex]
then
[tex]2x+2+x+3>n\Rightarrow n<3x+5,\\ \\2x+2+n>x+3\Rightarrow n>1-x,\\ \\x+3+n>2x+2\Rightarrow n>x-1.[/tex]
Thus,
[tex]x-1<n<3x+5.[/tex]
Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A, 3x + 5 > n > x - 1.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c
(b+c) > a
(c+a) > b
Given the three sides of the triangle 2x + 2 ft, x + 3 ft, and n ft. Now using the triangle inequality theorem we can write,
2x + 2 + x + 3 > n → 3x + 5 > n
2x + 2 + n > x + 3 → n > -x + 1
x + 3 + n > 2x + 2 → n > x - 1
Since x can not be a negative term therefore, we can write,
3x + 5 > n > x - 1
Hence, the correct option is A, 3x + 5 > n > x - 1.
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On her way to visit her parents, Jennifer drives 265 miles in 5 hours. What is her average rate of speed in miles per hour?
Answer:
53 miles per hour
Answer:
53 miles
Step-by-step explanation:
Total Distance: 265
Then, take that number and divide by 5. 265/5
= 53
15 A store manager receives a delivery
of 2 boxes of lightbulbs. Each box
contains 25 lightbulbs. The store
manager tests all the lightbulbs and
finds that 2 of them are defective.
Based on these results, what can
the store manager predict about the
next delivery of lightbulbs?
A A delivery of 3 boxes will contain
3 more defective lightbulbs than
a delivery of 2 boxes.
B A delivery of 4 boxes will contain
2 more defective lightbulbs than
a delivery of 2 boxes.
C A delivery of 5 boxes will contain
10 more defective lightbulbs than
a delivery of 2 boxes.
D
A delivery of 6 boxes will contain
3 more defective lightbulbs than
a delivery of 2 boxes.
Answer:
B
Step-by-step explanation:
For each box, there is 1 defective lightbulb. Therefore, a delivery of 4 boxes will have 4 defective lightbulbs. A delivery of 2 boxes has 2 defective lightbulbs. 4 defective lightbulbs subtracted by 2 defective lightbulbs equals 2 more defective lightbulbs in 4 boxes than 2. Therefore, it is B.
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3). A) y = − 1/5 x + 16/5 B) y = −5x − 5/16 C) y = 5x + 10 D) y = 1/5 x − 2
Answer:
A
Step-by-step explanation:
Parallel lines have the same slope. Find the slope by converting the equation x + 5y = 10 into y = mx+b form. It becomes y = -1/5x + 2. The slope is -1/5.
Substitute -1/5 and the point (1,3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y - 3 = -\frac{1}{5}(x - 1)\\y - 3 = -\frac{1}{5}x + \frac{1}{5}\\y = -\frac{1}{5}x + \frac{16}{5}[/tex]
Answer:
It's aaaaaaaaaaaaaaaaaaaaaaa!!!
Step-by-step explanation:
Sean uses the point (10, 8) to represent the location of his house and uses the point (1, 3) to represent the
location of the gym. Each unit on the graph represents 1 mi. How far is the gym from Sean’s house? Round to
the nearest tenth. Show your work.
Answer:
[tex]10.3\ mi[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(10,8)\\B(1,3)[/tex]
substitute the values
[tex]d=\sqrt{(3-8)^{2}+(1-10)^{2}}[/tex]
[tex]d=\sqrt{(-5)^{2}+(-9)^{2}}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d=10.3\ mi[/tex]
Could someone please help me
Answer:
c
Step-by-step explanation:
I think its c but I could be wrong
Travis are 2/3 of a small pizza Kai are 11/15 of a small pizza who ate more?
Answer:
11/15
Step-by-step explanation:
If you convert them to a decimal 11/15 would be more
Can someone please tell me if my answers are correct??
Answer:
I think they are all correct but 2 and 4 might be wrong. (I don't see the shapes very well.)
I can't see that well but on #2, can't you half it? If you can, it has 1 line of Symmetry. If you can't, it has no lines of symmetry
On #4, you might be able to half it from the lower left corner and the upper right corner. If it works, there is 1 line of symmetry, if it doesn't it has none
rewrite the function f(x)=x^2-6x-60 by completing the square
To rewrite f(x) = x^2 - 6x - 60 by completing the square, you add and subtract (6/2)^2 within the equation and refactor to get f(x) = (x - 3)^2 - 69, with the vertex at (3, -69).
To rewrite the function f(x) = x^2 - 6x - 60 by completing the square, follow these steps:
Write the equation in the form x^2 - bx = c.Find (b/2)^2, which is the number to be added to both sides to complete the square. For our equation, (6/2)^2 = 9.Add and subtract this number inside the equation. So you have: f(x) = x^2 - 6x + 9 - 9 - 60.Rewrite the quadratic part as a binomial square: f(x) = (x - 3)^2 - 69.The function is now in the completed square form. The vertex of this parabola is at (3, -69).
Twenty-five percent of 200 is what number?
Answer:
12.5
Step-by-step explanation:
25/200
Answer:
50
Step-by-step explanation:
0.25 x 200 = 50
What is the product ?
(4y-3)(2y^2+3y-5)
Answer:
8y^3 + 6y^2 - 29y + 15
Step-by-step explanation:
8y^3 + 12y^2 - 20y - 6y^2 - 9y + 15
then
8y^3 + 6y^2 - 29y + 15 is the product
Best regards
Answer:
=8y^3+6y^2−29y+15
Step-by-step explanation:
(4y−3)(2y^2+3y−5)
=(4y+−3)(2y^2+3y+−5)
=(4y)(2y^2)+(4y)(3y)+(4y)(−5)+(−3)(2y^2)+(−3)(3y)+(−3)(−5)
=8y^3+12y^2−20^y−6y^2−9y+15
=8y^3+6y^2−29y+15
what is the mode for the data set 49,47,46,40,48,41,44,49,45,42,43
Mode: the number that occurs the most in a set of data.
Although it's optional, I always like to order the numbers from least to greatest so it makes it easier to see what number repeats more than anything else.
Least to greatest - 40,41,42,43,44,45,46,47,48,49,49
The mode for this set of data is 49. The mode is 49 because 49 is the only number that occurs more than once. No other numbers in this set of data appear twice except 41.
(p+q)*(p-q) can you show the process
Answer:
p²-q²
Step-by-step explanation:
(p+q)×(p-q)
=p×(p-q)+q×(p-q)
=p×p-p×q+p×q-q×q
=p²-p×q+p×q-q²
=p²-q²
need help with this
Answer:
x y
15 -1
12 0
9 1
6 2
3 3
0 4
Step-by-step explanation:
This is a function table. For a linear function, find the average rate of change between the listed points called slope. Then use the slope to fill in other inputs and outputs for the function.
[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-12} =\frac{4}{-12} =- \frac{1}{3}[/tex]
This means for every 3 units made in the input, the function moves down 1 output.
x y
15 -1
12 0
9 1
6 2
3 3
0 4
Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.
First, what are the values of a, b, and c?
a =
Answer:
x = 1.56 or x = -2.56
Step-by-step explanation:
From the equation;
x2 +x − 4 = 0
a = 1 , b = 1, and c = -4
x = (-b ± √(b² -4ac))/2a
= (-1 ± √(1²- 4×1×-4))/2
= ( -1 ± √(17)/2
= (-1 ± 4.12)/2
= (-1 + 4.12)/2 or (-1 - 4.12)/2
x = 1.56 or x = -2.56
In a classroom,
3
-
10
of the students are wearing blue shirts , and
3
-
5
are wearing white shirts. There are 30 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts?
Answer:
i did this question b4 but completely forgot the answer ://
Step-by-step explanation:
determine the domain and range of the function f(×)=
[tex]2 \sqrt[3]{108} 2x[/tex]
Answer:
Simplifies to:
748.245949x
choose the system of inequalities that best matches the graph below.
a) y<2x+2, y<x
b) y<2x, y<_x
c) y<_x-2, y>-x
D) y<2x+2, y> -x
Answer:
D) [tex]y\:<\:2x+2[/tex], [tex]y\:>\:-x[/tex]
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation : [tex]y=2x+2[/tex]
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
[tex]y\:<\:2x+2[/tex]
The blue boundary line passes through the origin and has slope [tex]-1[/tex].
Its equation is [tex]y=-x.[/tex]
Since the boundary line is not solid and the right half-plane is shaded, its inequality is [tex]y\:>\:-x[/tex]
The correct choice is D.
The correct choice is D: y < 2x + 2, y > -x.
The blue boundary line is represented by the equation y = 2x + 2.
Since the lower half-plane is shaded, the inequality is y < 2x + 2.
The blue boundary line also passes through the origin and has a slope of -1, which gives it the equation y = -x.
Since the right half-plane is shaded, the inequality is y > -x.
So, the correct choice is D: y < 2x + 2, y > -x.
for such more question on boundary line
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HELP ASSAP WILL MARK BRAINIEST!!!!!!
Answer:
m= -5/4
Step-by-step explanation:
Slope can be translated to "rise over run". You go down 5 spaces and then move over 4 spaces.