Step-by-step explanation:
The x-intercept is the value of x when y is 0
So you need to substitute:
0 = 4x + 7
-7 = 4x
-7/4 = x
(-7/4,0)
Similarly, the y-intercept is the value of y when x is 0
So:
y = 4x + 7
y = 4(0) + 7
y = 7
(0,7)
12 ÷ 4 x 3 = 3 x 3 = 9
12 ÷ 3 x 4 = 4 x 4 = 16
If the number is n then
square of 2 times a number
square of 2n
(2n)²
that was your mistake, because (2n)²=4n², not 2n²
the result is 81
(2n)²=81
square root both sides
remember positive and negative roots
2n=+/-9
divide by 2
n=+/-4.5
n=4.5 or -4.5
Given y = f(x)
Substitute x = 10.
Therefore f(x) = 13 when x = 10
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
