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Softa [21]
3 years ago
5

Find the composition: f(g(x))

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

x²-8x+16

Step-by-step explanation:

Take g(x) and plug that equation in for x in f(x)

f(g(x))= (x-4)²

=(x-4)(x-4)

FOIL

=x²-8x+16

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Rhianna and Myra, both teachers, are adding books to their class libraries. Rhianna's classroom started out with a collection of
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21 books; 5 weeks

Step-by-step explanation:

3 0
3 years ago
A van and a truck both drove from Town A to Town B. The distance
Gala2k [10]
First we need to find out the time it took for the truck to reach town B.

Speed= \frac{Distance}{Time}

40= \frac{200}{T}
T=5hours

Now, because the van left 1.5 hours earlier and reached the destination 2.5 hours before, it took 1 hour less the the truck to arrive.

5hours-1hour=4hours which is the time it took for the van to arrive.

Now we use the speed equation again to work out speed.

Speed= \frac{200}{4}

Speed=50mph = speed of van

Hope this helped :)

4 0
4 years ago
The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y
Lelechka [254]

Given the next quadratic function:

y=2x^2+3x-2

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

x_V=\frac{-b}{2a}

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

\begin{gathered} x_V=\frac{-3}{2\cdot2} \\ x_V=-\frac{3}{4}=-0.75 \end{gathered}

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

6 0
2 years ago
Please help this is urgent I will be giving brainlyest to the first and correct answer!!!!! This question will be worth a lot of
Kamila [148]

Answer:

Step-by-step explanation:

Hope this helped (:

8 0
3 years ago
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years sinc
nekit [7.7K]

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...

5 0
3 years ago
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