Answer:
f(x) = -5/9 x + 5 1/9
Step-by-step explanation:
f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)
f(x) = mx + b
m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9
for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9
f(x) = -5/9 x + 5 1/9
check for (-7, 9) f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9
Answer:
D
g(x) = 2 x²
Step-by-step explanation:
You are given a co-ordinate on g(x): (2,1). Plug this into the equaitons to see which one holds true.
A
g(x)=(0.5x)²?
2=(0.5(1))²?
2=0.25? NO
B
g(x)=(0.25x)²?
2=(0.25(1))²?
2=0.0625? NO
C
g(x)=0.5x²?
2=0.5(1²)?
2=0.5? NO
D
g(x)=2x²?
2=2(1²)?
2=2? YES
This could also be solved intuitively, since from the graph, you can see that the x values for g(x) are twice the x values for f(x), but the mathematical method above works too, and is useful if you find reading and assuming things from graphs difficult.
7(x^2+3)(x^2-3)
I used mathpapa.com
Hope this helps!
Answer:
x = 0 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
6 x^2 = -42 x
Add 42 x to both sides:
6 x^2 + 42 x = 0
Factor x and constant terms from the left hand side:
6 x (x + 7) = 0
Divide both sides by 6:
x (x + 7) = 0
Split into two equations:
x = 0 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 0 or x = -7