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3 years ago

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1).

Mathematics

1 answer:

anastassius [24]3 years ago

5 0

Answer:

$\large\boxed{(h\circ g)(1)=8}$

Step-by-step explanation:

$(f\circ g)(x)=f\bigg(g(x)\bigg)\\===================\\\\(h\circ g)(1)=h\bigg(g(1)\bigg)\\\\g(1)-\text{put}\ x=1\ \text{to the equation of the function}\ g(x)=2x:\\\\g(1)=2(1)=2\\\\h\bigg(g(1)\bigg)=h(2)-\text{put}\ x=2\ \text{to the equation of the function}\ h(x)=x^2+4:\\\\h(2)=2^2+4=4+4=8$

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Solve the equation 3/2(2-6x)+1=3-5x

tigry1 [53]

Answer:

Here's a tip:

Step-by-step explanation:

Use the acronym PEMDAS to solve.

P arenthesis

E xpoments

M ultiplication

D ivsion

A ddition (Left to right)

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8 0

3 years ago

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million

aliya0001 [1]

The percentage of increase was 87.027... %

Explanation

The value of U.S exports to China increased from $1480 million to $2768 million.

Suppose, the percentage of increase is $x\%$

So, the amount of increase = $x\%$ of 1480 $=1480*\frac{x}{100}=14.8x$

Thus, the equation will be......

$14.8x= 2768-1480\\ \\ 14.8x=1288\\ \\ x= \frac{1288}{14.8}=87.027....$

So, the percentage of increase was 87.027... %

7 0

4 years ago

Round 3:38 to the nearest ten

aev [14]

Answer:3

Step-by-step explanation:

Round 3.38 to the nearest ten

Rounding up to the nearest 10, we look at the digits on the left hand side of the decimal point. If the number on the right of the decimal point is less than 5, we ignore it.if it is greater than 5, we add one to the last digit on the right hand side.

In this case, the first digit on the left hand side is less than 5, so we ignore it. Rounding up to the nearest ten,the 0.38 is ignored.

Therefore, it becomes 3.0 = 3

To the nearest ten

7 0

3 years ago

HELP!

Contact [7]

This is about changing subject of formula.

1) Option D

2) Option B

3) Option C

4) Option C

5) Option B

1) $\frac{2}{3}$ x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by $\frac{3}{2}$ .

Option D is correct

2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

3) S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x $\leq$ 250

11x $\leq$ 250 - 35

11x $\leq$ 215

x $\leq$ 215/11

x $\leq$ 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0

3 years ago

Sweet tea purchased a new pair of jeans to wear to the battle of the bands on sale at 40% off.He saved 20 dollars.What was the r

MaRussiya [10]

Answer:

Step-by-step explanation:

50$ because 20$ is 40%, so times that by 2 which you get 20$ and 80%. Then you divide 20 by 2 then you get 10 which is 20% so you add 10 and you get 50$ which is 100%

3 0

3 years ago