Answer:
Given
f(x) = 2x+7
g(x) = x^2-4
h(x) = 5x
a. 4h(x)
= 4 * 5x
= 20x
b. f(x) - g(x)
f(x) - g(x) = 2x + 7 - (x^2 - 4)
= 2x+7-x^2+4
=-x^2+2x+7+4
=-x^2+2x+11
c. f(g(x)) = 2(g(x))+7
=2(x^2-4) +7
=2x^2-8+7
=2x^2-1
d. g(x)h(x) = (x^2-4)(5x)
= 5x^3 - 20x
e. g(x) / f(x) = x2 - 4/ 2x + 7
Answer:
X=½ or 3
Step-by-step explanation:
0=2x²-7x+3
0=(2x-1)(x-3)
0=2x-1 or 0=x-3
1=2x or 3=x
½=x
Answer:
x=1
Step-by-step explanation:
5(5x+4)=45
25x+20=45
subtract 20 on each side
25x=25
divide by 25 on each side
x=1
Answer:
Please refer to the image
Step-by-step explanation:
Answer <u>(assuming it can be in slope-intercept form): </u>
y = x - 5
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula, 
, and substitute the x and y values of the given points into it. Then, solve:
2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or 
. Substitute 
, 
, and 
for real values.
Since represents the slope, substitute 1 for it. Since and represent the x and y values of a point the line intersects, use any one of the given points (either one is fine, either way the equation will represent the same line) and substitute its x and y values into the equation. (I chose the point (6, 1), as seen below.) Finally, isolate y to put the equation in slope-intercept form.
