Hey!
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Steps To Solve:
~Substitute
(4)2 - (-5)2
~Multiply
8 - (-10)
~Subtract
18
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Answer:
18
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Hope This Helped! Good Luck!
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
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Y= -x+1 because the slope is negative
The function rule in slope-intercept form is y = -4x -2
<h3>What is a function ?</h3>
A function is defined as the mathematical statement which defines relation between a dependent variable and an independent variable.
A function f(x) is graphed on the coordinate plane.
The equation for a straight line is given by
y = mx + c
Where m is the slope and c is the intercept on y axis
The intercept on y axis is -2
c = -2
At x = 0 , y =-2
At x = -1 , y =2
m =(2 -(-2))/(-1-0)
m = -4
Therefore ,the function rule in slope-intercept form is y = -4x -2 .
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Answer : option C, 5x2 + 32x − 21
In the rectangle, the length = 5x - 3 and width = x + 7
We know the formula for area of rectangle = length * width
Area of rectangle = (5x-3)(x+7)
WE multiply it using FOIL method
F - First terms, 5x * x = 
O- Outer terms, 5x * 7 = 35x
I - Inner terms, -3 * x= -3x
L - Last terms, -3 * 7 = -21
Now we add all the terms
combine like terms
So area of a rectangle =
