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3 years ago

14

Given: f(x)=x^2, g(x)=x+6, h(x)=7Find h{g[f(x)]}

1 answer:

arsen [322]3 years ago

4 0

Step-by-step explanation:

$f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7$

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help with number 2 please i have no idea how to do this. it would be very helpful if you can show the steps

zloy xaker [14]

So in this case, we have to replace the known value.
y=3
y=-2x+3

3=-2x+3

Then we leave our unknown value alone.
$\frac{3-3}{2}$ = x

In this case, our x value would be 0.

We check it...
3=-2(0)+3
3=0+3
3=3

So y=3 x=0

For the second one we have...
y=3x+2
y=-3x-4

For this we substitute the y in any of the equation...
3x+2=-3x-4

We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2

Then we solve
6x=-6

Then we leave the unknown value alone.
x= $\frac{-6}{6}$

Then solve for x.
x= -1

Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1

y=-3x-4
y=-3(-1)-4
y=3-4
y=-1

So in this case we got that x= -1 and y= -1

4 0

3 years ago

Write the first three terms in the following sequences. Identify them as arithmetic or geometric

vaieri [72.5K]

Answer:

$A(1)=9$

$A(2)=4$

$A(3)=-1$

Arithmetic sequence

Step-by-step explanation:

We are given that

$A(n+1)=A(n)-5 \;for\;n\geq 1$ A(1)=9

We have to find first three terms and identify the sequence is geometric or arithmetic.

Substitute n=1

Then, we get

$A(2)=A(1)-5=9-5=4$

For n=2

$A(3)=A(2)-5=4-5=-1$

For n=3

$A(4)=-1-5=-6$

$d_1=A_2-A_1=4-9=-5$

$d_2=A_3-A_2=-1-4=-5$

$d_3=A_4-A_3=-6+1=-5$

$d_1=d_2=d_3=-5$

When the difference of consecutive terms are constant then the sequence is arithmetic sequence.

Therefore, given sequence is arithmetic sequence.

8 0

3 years ago

Use the associative property to simplify 3(4x).

vivado [14]

Step-by-step explanation:

3(4x)=12x

Hope it helps?!

4 0

2 years ago

Read 2 more answers

An amusement park opens daily at 9:30 a.m. This morning the parking lot for the amusement park opened at 8:00 a.m. At 9:00 a.m.,

Eddi Din [679]

Answer:

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this $P_0$

$P_{0}=132$

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

$P_{1}=132*3=396$

the next half an hour, at 10:00 am, the number of cars trippled, this is:

$P_{2}=132*3*3=1188$

and finaly, at 10:30am, the number of cars trippled again, so:

$P_{3}=132*3*3*3=3564$

We can now see a pattern there which can be simplified as:

$P(n)=P_{0}(3)^{n}$

or

$P(n)=132(3)^{n}$

where:

$P_{0}=$ initial number of cars

n=number of half hours after 9:00 a.m

$P_{n}=$ number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

4 0

2 years ago

Read 2 more answers

Find the value of x.

dolphi86 [110]

Answer: 10

Step-by-step explanation:

4 0

3 years ago