Answer:
y=1/4x+4
Step-by-step explanation:
to find the slope use (y2-y1)/(x2-x1)
(5-6)/(4-8)= 1/4
1/4 is your slope
to find the b in y=mx+b, plug in 1/4 for m and choose one of the points to plug in for x and y
I will use (4, 5)
5=1/4(4)+b
5=1+b
4=b
the final equation in y=1/4x+4
hope this helps!
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
If you put a picture, Its not showing up. If not, what cant you solve?
Answer:
60
Step-by-step explanation:
90/100 = 54
Cross multiplying:
100 * 54 / 90
5400/90
60
