Answer:
Step-by-step explanation:
The easiest to solve for is y in the second equation. Just subtract 3x from both sides, obtaining y = -3x + 9.
The value of x = 1 and y = 6. The easiest to solve for is y in the second equation.
How to estimate the value of the system of equations?
Let the equations be
2x + 4y = 26 ......(1)
3x + y = 9 ........(2)
From (2), we get
3x + y = 9
y = -3x + 9 .......(3)
then substitute the value of y in (1), then we get
2x + 4y = 26
2x + 4(-3x + 9) = 26
Simplifying the above equation, we get
2x - 12x + 36 = 26
-10x + 36 = 26
-10x = 26 - 36
-10x = -10
Then the value of x = 1
Substitute the value of x in (3), then we get
y = -3x + 9
Simplifying the equation, we get
y = -3(1) + 9
y = -3 + 9
y = 6
The value of x = 1 and y = 6.
Therefore, the correct answer is option (d) The easiest to solve for is y in the second equation.
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How many dinner specials are possible?
HELP PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!
[tex]3\cdot3\cdot4\cdot4=144[/tex]
Find the area and the circumference of a circle with diameter 7 ft
Answer:
A≈38.48ft²
C≈21.99ft
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
The area is 38.5 ft² and the circumference is 21.99 or 22 ft
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 7 ft,
first, Area of a circle is πr² or πd
D = 2r
7 = 7/2 = 3.5
π = 22/7
Area = πr²
A = 22/7 × (3.5)²
A = 22/7 × 12.25
A = 269.5/7
A = 38.5 ft²
Circumference of a circle is 2πd
C = 22/7 × 7
C = 154/7
C = 21.99
approximately 22.
Hope this helps!
Challenge 1:
The sum of two numbers is 20, and the difference between their squares is 40. Find the numbers.
Challenge 2:
What is the number?
It is greater than 15 squared. It is not a multiple of 3 or 5, but a multiple of 4. It is less than 20
squared. It is not a multiple of 17. It is a square number.
11+9=20
(11)^2-(9)^2=40
121-81=40
40=40
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answer: 3.50x + 4.00y ≤ 45
0 < y < 11.25
Step-by-step explanation:
[tex]3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0<y<11.25[/tex]
What is the difference of the polynomials (12x2-11y2-13x - (5x2
The difference of polynomials (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x
What are Polynomials ?Polynomials are sum of terms of the form kxⁿ , where k is a constant and n is any positive integer.
it is given in the question
To find the difference of the polynomials
(12x²-11y²-13x)-(5x²-14y²-9x)
to add or subtract a polynomial we subtract the like terms with same variable .
12x²-11y²-13x -5x²+14y²+9x
7x² +3y²-4x
Therefore the difference of polynomials (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x .
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Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4
Answer:
log_3(2x+15)=2 and log_4(-20x+4)=3
Step-by-step explanation:
Plug it in and see!
[tex]log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3[/tex]
Answer:
A and C
Step-by-step explanation:
If a (z) =2z - 7, than a ( ) = 2(x+1) - 7
The function a(z) = 2z - 7 transforms into a(x + 1) = 2x - 5 when z is replaced with the quantity (x + 1)
Explanation:The question given has a mathematical function defined as a(z) = 2z - 7. The problem is asking what the function would look like if instead z is replaced by quantity (x+1).
To solve this, replace z in the function with (x+1). As such, instead of multiplying z by 2, we are now multiplying (x+1) by 2. The equation would stand as a(x + 1) = 2(x+1) - 7. Distribute the 2 in the parenthesis, the equation simplifies to a(x + 1) = 2x + 2 - 7.
Therefore, a(x + 1) = 2x - 5 is the function when z is replaced with quantity (x + 1).
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To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). Simplifying, we get a(x+1) = 2x - 5.
Explanation:To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). This gives us:
a(x+1) = 2(x+1) - 7
Simplifying, we get the values as -
a(x+1) = 2x + 2 - 7
a(x+1) = 2x - 5
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what is the slope of the line (2,3) (1,-2)?
Answer: The slope is 5
Step-by-step explanation:
You can calculate the slope of the line with this fomula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points (2,3) and (1,-2), you can identify that:
[tex]y_2=-2\\y_1=3\\x_2=1\\x_1=2[/tex]
Now, the final step is to substitute these values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], getting that the slope of this line is:
[tex]m=\frac{-2-3}{1-2}[/tex]
[tex]m=\frac{-5}{-1}\\\\m=5[/tex]
Answer:
M = 5X
Step-by-step explanation:
use the slope of a line equation
[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]
so plug in your x and y's
[tex] m = \frac{ - 2 - 3}{1 - 2} [/tex]
m = 5x
remember negative devided by negative is a positive. also dont forget to add your x at the end.
Task 1 a Real State company sells plots of land.The plot shown at the right cost $84,120. What is the price per square foot of the land?
Answer:
The price is $1.6 per square foot of the land
Step-by-step explanation:
step 1
Find the area of the plot of land
we know that
The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2
see the attached figure to better understand the problem
Remember that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}[b1+b2]h[/tex]
Find the area of trapezoid 1
we have
[tex]b1=125\ ft[/tex]
[tex]b2=265\ ft[/tex]
[tex]h=260-150=110\ ft[/tex]
substitute
[tex]A1=\frac{1}{2}[125+265](110)[/tex]
[tex]A1=21,450\ ft^{2}[/tex]
Find the area of trapezoid 2
we have
[tex]b1=150\ ft[/tex]
[tex]b2=265\ ft[/tex]
[tex]h=150\ ft[/tex]
substitute
[tex]A2=\frac{1}{2}[150+265](150)[/tex]
[tex]A2=31,125\ ft^{2}[/tex]
The area total of the land is
[tex]A=A1+A2[/tex]
[tex]A=21,450+31,125=52,575\ ft^{2}[/tex]
step 2
Find the price per square foot of the land
Divide the total cost by the total area
[tex]\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}[/tex]
Evaluate the expression |2x – 5| for x = –3 and for x = 3.
A. 3, 13
B. 13, 3
C. 11, 1
D. 1, 11
Answer:
C. 11, 1
Step-by-step explanation:
I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for x, then find the absolute value [ALWAYS POSITIVE].
What is 7-(a-b)-4+(3a-2b)
Answer:
[tex]\boxed{2a+3-b}[/tex]
Step-by-step explanation:
Distributive property:
↓
A(B+C)=AB+AC
Remove parenthesis first.
7-(a-b)-4+3a-2b
(-a-b)=-a+b
7-a+b-4+3a-2b
Simplify, to find the answer.
7-a+b-4+3a-2b
Group like terms:
↓
-a+3a+b-2b+7-4
Add numbers from left to right.
-a+3a=2a
2a+b-2b+7-4
b-2b=-b
2a-b+7-4
Adding and subtracting numbers from left to right.
7-4=3
2a+3-b
[tex]2a+3-b[/tex], which is our answer.
Answer:
3 +2a -b
Step-by-step explanation:
7-(a-b)-4+(3a-2b)
Distribute the minus
7 -a +b -4 +3a-2b
Combine like terms
7-4 -a +3a +b-2b
3 +2a -b
Can the set of lengths be the side lengths of a right triangle?
7ft, 12ft, 17 ft
Answer:
No
Step-by-step explanation:
For a right triangle, a^2+b^2=c^2 EVERY time.
a and b are always smaller than c, so 7 and 12 are a and b, and 17 is c:
7^2+12^2 ?= 17^2
49+144 ?= 289
193 != 289
Therefore, these can't be the set of lengths for a right triangle
Answer:
These set of lengths cannot be the side lengths of a right angled triangle.
Step-by-step explanation:
Pythagoras Theorem is always followed by a right angled triangle. According to which the sum of squares of the two shorter legs is equal to the square of the longest leg.
[tex]a^2=b^2+c^2[/tex]
So here, 17 is the longest leg and 7 and 12 the shorter ones.
Applying Pythagoras Theorem to these lengths to find out.
[tex]17^2=7^2+12^2[/tex]
[tex]289\neq 193[/tex]
Therefore, these set of lengths cannot be the side lengths of a right angled triangle.
select the correct product. (2x+9)(x+1)
Choose the simplified form of the fifth term of 6C4(2x)2(-y2)4.
You didn't give us the choices. It doesn't matter. I think you're trying to write
[tex]\displaystyle {6 \choose 4} (2x)^2 (-y^2)^4 [/tex]
[tex] = \dfrac{6!}{4! 2!} ( 4x^2 y^8)[/tex]
[tex] = \dfrac{6(5)}{2} ( 4x^2 y^8)[/tex]
[tex] =60x^2 y^8[/tex]
Answer: 60 x² y⁸
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be simplified as,
⁶C₄ (2x)² (-y²)⁴
The value of the combination can be written as,
= [6!/4!(6-4)!] (2x)² (-y²)⁴
= 15 (4x²) (-y²)⁴
The value of y can be written as,
= 15 (4x²) y⁸
= 60 x²y⁸
Hence, the value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
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A portion of a hiking trail slopes downward at about an 84° angle. To the
nearest tenth of a flot, what is the value of x, the distance the hiker traveled
along the path, if he has traveled a horizontal distance of 120 feet?
A. 143.3
B. 12.5
C. 120.7
D. 130.2
C because if you divide the angle minus the feet you get 120
The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
A portion of a hiking trail slopes downward at about an 84° angle.
The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet
cos θ=adjacent/hypotenuse
Let h be the hypotenuse, adjacent =120 ft, θ = 84°,
cos 84 = 120/h
h = 120/cos 84
h = 120 / 0.10 ft
h = 120.7 ft
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Extra credit question for math class...
3 men go to a hotel room for a night. The manager charged them $30, therefore they split the bill “$10” each.
The manager later realized that he made a mistake and the total should’ve been $25, not $30...
The manager tells the bell boy to return the $5 to the 3 men, but the bellboy cheats and pockets $2 and only returned $3...
now each guy did not pay $10... they each payed $9, because they each got $1 back.
Each guy payed $9 = $27
Plus $2 in bellboys pocket
Total is $29
Where is the missing dollar?
they paid 30, 10 + 10 + 10.
the manager refunded them 5, 30 - 5 = 25.
the bellboy took 2, gave them 3 only.
since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.
we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.
Which lines are parallel if m 3 = m 6?
Justify your answer.
Answer:
[tex]r \parallel s[/tex] by the Converse of the Alternate Interiors Angles Theorem.
Step-by-step explanation:
Remember that two lines are parallel if their angle of direction is the same.
So, in this case we know that [tex]m\angle 3 = m\angle 6[/tex], where [tex]\angle 3[/tex] is the direction of [tex]r[/tex] and [tex]\angle 6[/tex] is the direction of [tex]s[/tex].
Therefore, [tex]r \parallel s[/tex] by the Converse of the Alternate Interior Angles Theorem, which states that if two lines are cut by a transversal and the alternate interior angles are congruent, then those lines are parallel.
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).
A. 1.5 to 2.8
B. 13.5 to 15.0
C. 4.5
D. 2.5
Answer:
C. 4.5
Step-by-step explanation:
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about 4.5 volts at wide-open throttle (WOT).
Answer:C. 4.5
Step-by-step explanation:
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).
C. 4.5
Can someone help me?
s = number of students books
we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.
[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]
What is an expression for the amount of money you can save if you use 5/6 Of your wages for spending money?
Evaluate your expression for weekly wages of $60, $120 , $180 and $300.
Answer:
Step-by-step explanation:
If you spend 5/6 of your wages, you'll have 1/6 of your wages left, hopefully to be placed into your savings account.
If your wages are $60, you'd have 1/6 of that, or $10, left.
$120, $20.
$180, $30
$300, $50
If C is the midpoint of segment AB and AB = 20, what is AC?
5
10
20
40
Answer:
AC= 10
Step-by-step explanation:
If AB is equal to 20 and C is the midpoint (meaning half of the segment), then you simply divide 20 by 2 which equals to 10.
Look at the image below for a drawing of the segment.
We know that the midpoint divides the segment in half. Which means that the length of the whole segment divided by 2 is equal to the length of one part of the segment
AC = AB / 2
AC = 20 / 2
AC = 10
Hope this helped!
~Just a girl in love with Shawn Mendes
A company's forecasted
sales are $300,000 and
its sales at break-even
are $180,000. Its margin
of safety % is:
Answer:
$120,000
Step-by-step explanation:
It's easy ,
all you got to do is just minus $300,000 from $180,000 so it'll be :
$300,000 − $180,000 = $120,000
$120,000 Will be your answer !
Answer:
$120,000
It's easy ,
all you got to do is just minus $300,000 from $180,000 so it'll be :
$300,000 − $180,000 = $120,000
$120,000 Will be your answer !
Step-by-step explanation:
Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.
A. 4cm, 6cm, 10cm
B. 2cm, 3cm, 10cm
C. 1cm, 1cm, 12cm
D. 5cm, 8cm, 10cm
E. 7cm, 7cm, 12cm
F. 6cm, 6cm, 12cm
Answer:
D and E
Step-by-step explanation:
because the rule to make triangle is
a<b+c with a, b and c is the side of the triangle
Answer:
Step-by-step explanation:
I just did it nothing to explain :D
Which geometic construction is shown below?
Answer:
AStep-by-step explanation:
Answer:
the answer is doubling the square on anywhere brainiest pls
Step-by-step explanation:
How long would it take to travel 315 mi at the rate of 45 mi/h ?
O
7 h
O 270 h.
360 h
14.175 h
It would take 7 hours.
If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.
To deduce this, divide 315 by 45.
315/45=7
It would take 7 hours.
Hope this helps!
Answer:
7 hours
Step-by-step explanation:
Write it out like a ratio X/315 = 1/45
Let X be hours
Cross multiply 315 x 1
and 45 x X -------> this gives you 315 = 45X
Then simply divide both sides by 45 and you get 7 hours
To win a game you need at least 45 points.Each question is worth 3 points.Write and solve an inequality that represents the number of questions you need to answer correctly to win the game.
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.
What does the initial value represent?
Answer:
The height the tree was when brought
input value: 0
Output value: 62
Step-by-step explanation:
The initial value represents the height, the tree was when bought.
Given that,
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.Based on this, we can say that the initial value defines the height basically the tree at the time of purchased.
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For f(x)=5x−x2 , use the definition of a derivative to find f′(x)
[tex]\bf f(x)=5x-x^2\qquad \qquad \lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h} \\\\[-0.35em] ~\dotfill\\\\ \lim\limits_{h\to 0}~\cfrac{[5(x+h)-(x+h)^2]~~-~~[5x-x^2]}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[5x+5h-(x^2+2xh+h^2)]~~-~~5x+x^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} 5x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+5h~~\begin{matrix} -x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}-2xh-h^2~~-~~\begin{matrix} 5x +x^2\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{h}\implies \lim\limits_{h\to 0}~\cfrac{5h-2xh-h^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} ~~(5-2x-h)}{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \lim\limits_{h\to 0}~5-2x-0\implies \lim\limits_{h\to 0}~5-2x[/tex]
What is the area of the triangle
Answer:
The first choice, 8.64 sq. ft.
Step-by-step explanation:
Formula for area of triangle:
(Length x Height) / 2
4.8 * 3.6 = 17.28
17.28 / 2 = 8.64
A = 8.64 sq. ft. so, the first choice
Answer:
8.42ft square
Step-by-step explanation:
Base × height/2
base=4.8ft
height =3.6ft
4.8 × 3.6= 17.28
17.28/2=8.64ft
Which linear equal what is represented by the graph
Answer:
It is the third option.
Step-by-step explanation:
First, the shaded part is above the line, so there must be a y>, ruling out two of our options. so now, the slope of the line is the only missing item. Use the points (0,3) and (3,5). m=(y2-y1)/(x2-x1), so m = -2/-3, which simplifies to 2/3. Therefore, y>2/3x + 3 is your answer.
Hope this helps!