Simply plug in the value of x.

f(x) = -x² + 4x + 12
f(3) = -(3²) + 4(3) + 12 = -9 + 12 + 12 = -9 + 24 = 15
f(4) = -(4²) + 4(4) + 12 = -16 + 16 + 12 = 0 + 12 = 12
f(5) = -(5²) + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6²) + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0

g(x) = x + 8
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14

f(x) = g(x) when x = 4.
f(4) = g(4)
12 = 12

8 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for a line that is (a) parallel (b) perpendicular to

ollegr [7]

Answer:

A) parallel

It has the same slope.

y-intercept is 6.

So,

m = -5

b = + 6

y = -5x + 6

B) perpendicular

It has a negative reciprocal of the slope.

-5 = 1/5

y-intercept is 6

m = 1/5

b = + 6

y = 1/5x + 6

4 0

3 years ago

The first and fifth terms of a geometric progression (G.P) are 2.5 and 40 respectively. If the common ratio is positive, find th

Nadusha1986 [10]

Answer:

637.5

Step-by-step explanation:

$a_{1}=2.5=a\\a_{5}=40=ar^4\\r=2 \ \& \ a=2.5\\\text{Sum}=\frac{a(r^n-1)}{r-1}=\frac{2.5*(2^8-1)}{1}=637.5$

Love from Gauthmath.

5 0

3 years ago