Answer:
![y = 7x](https://tex.z-dn.net/?f=y%20%3D%207x)
Step-by-step explanation:
Look at the term:
"y is seven times the value of x."
This term means that whatever x is, y is always going to be 7 times greater than that number. Meaning that x needs to always be multiplied by 7 to get y, easy.
Make 7 the coefficient.
![7x](https://tex.z-dn.net/?f=7x)
![7x = y](https://tex.z-dn.net/?f=7x%20%3D%20y)
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Answer:
D’(-1,4)
Step-by-step explanation:
left is referred to the x coordinates
2-3 = -1
down is referred to the y coordinates
5-1 = 4
Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,
![\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cfrac%7Bc%7D%7B%5Csin%20C%7D%3D%5Cfrac%7Bd%7D%7B%5Csin%20D%7D)
Consider the first and third ratio,
![\frac{b}{\sin B}=\frac{d}{\sin D}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cfrac%7Bd%7D%7B%5Csin%20D%7D)
Substitute the values of d = 3 , b= 5 and ∠D=25°
![\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B5%7D%7B%5Csin%20B%7D%3D%5Cfrac%7B3%7D%7B%5Csin%2025%5E%7B%5Ccirc%7D%7D)
Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
So the area of a rectangle is Length x Width.
A = (L)(W)
Substitute the information given:
4x^2 + 20x + 16 = (L)(2x+8)
Isolate L by dividing 2x+8:
(4x^2 + 20x +16)/ (2x + 8) = L
If you divide:
L = 2x + 2.