Answer:
s = 2x²+3x-23
Step-by-step explanation:
Given that,
First side of a triangle = 3x+8
Second side of a triangle = 2x²-4x+5
The perimeter of the triangle = 4x²+2x-10
We need to find the expression for the third side. Let the third side b s.
Perimeter = Sum of all sides
4x²+2x-10 = 3x+8 + 2x²-4x+5 +s
4x²+2x-10 = 2x²-x+13+s
s = 4x²+2x-10- (2x²-x+13)
= 2x²+3x-23
So, the third side will be 2x²+3x-23.
Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So,
=3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5
Answer:
f(x)=8x +118
Step-by-step explanation:
Answer: y = (-1/2)x + 8.5
Step-by-step explanation:
A line perpendicular would have a slope that is the negative reciprocal of the given equation.
In this case, the slope is 2, so the perpendicular equation's slope would be -1/2.
We plug in (1, 8) to find b, or the y intercept.
8 = (-1/2)(1) + b
b = 8.5
So the equation would be:
y = (-1/2)x + 8.5
Since the company spends 20$ on each doll and sells each for 30$ thats a 10$ profit.
If the company spends 400$ on promotion it would take 40 dolls since
400$ / 10$(amount of profit per doll) = 40
so to make the promotion back it would be 40 dolls but the question was to make PROFIT so it must be 41 dolls