X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30
Question number one is 2/3
The relation is between the x- values and y-values of the ordered pairs. The set of all x-values is called the domain and the set of all y-values is called the range
Answer:
f(x) = 3x⁴ -
- 17x + ![\frac{68}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B3%7D)
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ -
- 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ -
- 17(1) + C
8 = 3 -
- 17 + C
C =8 - 3 + 17 + ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
C = 22 + ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
C =![\frac{66 + 2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B66%20%2B%202%7D%7B3%7D)
C = ![\frac{68}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B3%7D)
f(x) = 3x⁴ -
- 17x + ![\frac{68}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B3%7D)
Find the ratio of the similar known sides:
1.34/2 = 0.67
The smaller triangle is 0.67 the size of the larger one.
Multiply the similar sides by the ratio:
DE = 4 x 0.67 = 2.68
FE = 3 x 0.67 = 2.01