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2 years ago

10

If h(x) = 2x and g(x) = 3x2 + 1, what is h(g(x))?

1 answer:

Lady_Fox [76]2 years ago

8 0

Answer:

h(g(x))=h(3x^2+1)=2(3x^2+1)=6x^2+2

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Factorize ax^2 + bx by using identities

navik [9.2K]

Answer:

ax^2+bx=x(ax+b)

Please mark as brainliest

Step-by-step explanation:

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2 years ago

What would $25 deposited 56 yrs ago be worth today???

zhannawk [14.2K]

205 dollars today I think

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3 years ago

Determine the slope <br><br> 2y-4x=1

Maurinko [17]

Answer:

2

Step-by-step explanation:

The equation is mx+b=y

The equation is not simplified yet.

2y-4x=1

Add 4x to both sides

2y=1+4x

Divide by 2

1/2+2x

For this just identify. M=slope. The number next to the x is 2. So the answer is 2

3 0

2 years ago

Read 2 more answers

The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature

Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

$T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$

Where

$(t) = \ time$

$T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)$

$T_{s} = Surrounding \ temperature$

$T_{0} = Initial \ temperature \ of \ the \ body$

$k = constant$

From the question,

$T_{0} = 86 ^{o}C$

$T_{s} = -20 ^{o}C$

∴ $T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C$

$T_{0} - T_{s} = 106^{o} C$

Therefore, the equation $T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$ becomes

$T_{(t)}=-20+106 e^{kt}$

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time $t = 1 \ hour$ , $T_{(t)} = 58^{o}C$

Then, we can write that

$T_{(1)}=58 = -20+106 e^{k(1)}$

Then, we get

$58 = -20+106 e^{k(1)}$

Now, solve for $k$

First collect like terms

$58 +20 = 106 e^{k}$

$78 =106 e^{k}$

Then,

$e^{k} = \frac{78}{106}$

$e^{k} = 0.735849$

Now, take the natural log of both sides

$ln(e^{k}) =ln( 0.735849)$

$k = -0.30673$

This is the value of the constant $k$

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at $t = 2 \ hours$

From

$T_{(t)}=-20+106 e^{kt}$

Then

$T_{(2)}=-20+106 e^{(-0.30673 \times 2)}$

$T_{(2)}=-20+106 e^{-0.61346}$

$T_{(2)}=-20+106\times 0.5414741237$

$T_{(2)}=-20+57.396257$

$T_{(2)}=37.396257 \ ^{o}C$

$T_{(2)} \approxeq 37.40 \ ^{o}C$

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

6 0

2 years ago

Read 2 more answers

Pete's Plumbing charges a $150 inspection fee plus $60 per hour. Paul's Plumbing charges a $90 inspection fee plus $75 per hour.

Klio2033 [76]

Answer:

40+75 x = 125 + 25x

Step-by-step explanation:

5 0

3 years ago