Step-by-step explanation:
since all angles add up to 180:
(8x-1)+(3x+4)+(3x+9)=180
add like terms:
14x+12=180
x=12
Hope that helps :)
Answer:
46
Step-by-step explanation:
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Answer:
<u>The correct answer is B. {-2,4}</u>
Step-by-step explanation:
Let's solve for x, this way:
x + 4/4 = x /x -2
(x + 4) * ((x - 2) = 4 * x
x² - 2x + 4x -8 = 4x
x² - 2x + 4x -8 - 4x = 0
x² - 2x -8 = 0
(x - 4) * (x +2) = 0
x - 4 = 0
x + 2 = 0
x₁ = 4
x₂ = - 2
<u>The correct answer is B. {-2,4}</u>
