If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is

Step-by-step explanation:

(2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

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Answer:

length =√area use this formula

The side length of square can be found by taking the square root of Area.

Square are closed polygons which consist of four sides and four angles.

Each angle is 90 degree.

All the sides are of equal length.

So, by the definition of square, we know that the side lengths of square are equal.

The formula to calculate the area of the square is,

Area = a², where a is the length of one side of the square.

Let Area be given, let it be equal to A.

Then,

a² = A

Taking square root on both sides,

a = √A

Hence the side length is found by taking the square root of Area.

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Answer:

-7 and -1

Step-by-step explanation:

-7x-1=7

-7-1=-6

-7 and -1

- have a great day

Answer:

11) A=84.7m²

12) A=75.2km²

13) A=28.05ft²

14) A=48yd²

Step-by-step Explanation:

11) A = 1/2(bh)

A = 1/2(14×12.1)

A = 1/2(169.4)

A = 84.7m²

12) A = 1/2(bh)

A = 1/2(16×9.4)

A = 1/2(150.4)

A = 75.2km²

13) A = 1/2(bh)

A = 1/2(5.1×11)

A = 1/2(56.1)

A= 28.05ft²

14) A = 1/2(bh)

A = 1/2(16x6)

A = 1/2(96)

A = 48yd²

Answer:

11) A=84.7m²

12) A=75.2km²

13) A=28.05ft²

14) A=48yd²

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer: It is D

Step-by-step explanation: its is the placement Pretty basic.

Answer: D

Step-by-step explanation:

ap3x verified!!!

Answer:

B: Use a 95% confidence level.

Step-by-step explanation:

In the case when the random sample size from a population is collected and it determined the 98% confidence interval so that decrease the margin of error is to use a 95% confidence interval as it is needed to have a less critical value

So according to the given options, the option B is correct

Answer:

3/10,3/8,27%,0.34

Step-by-step explanation:

Answer:

27%, 3/10, 0.34, 3/8

Step-by-step explanation:

I just made them all decimals (same as percent)

3/10=0.30

3/8= 0.375

hope this helps pls mark brainleist

Answer:

1,300 students

Step-by-step explanation:

1864 - 564 = 1300

Step-by-step explanation:

[tex]

\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312

[/tex]

Hope it will help :)❤

Answer:

√{312×312}=√312²=±312 is your answer

Answer:

Let's solve your equation step-by-step.

x

15

=

3

5

Answer:

x=9

Step-by-step explanation:

Answer:

To do this, subtract 6 from both sides. − 3_x_ + 6 − 6 > 12 − 6. −3_x_ > 6. Now divide both sides of the inequality by −3. Since you're dividing by a negative number, you need to flip the inequality sign.

Step-by-step explanation:

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

Answer:

A, b, c, y are linear becouse every value of domain has one value in range

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

Answer:

4

Step-by-step explanation:

Answer:

X = 15

Step-by-step explanation:

Let's solve your equation step-by-step.

−18+x=−x+12

Step 1: Simplify both sides of the equation.

x−18=−x+12

Step 2: Add x to both sides.

x−18+x=−x+12+x

2x−18=12

Step 3: Add 18 to both sides.

2x−18+18=12+18

2x=30

Step 4: Divide both sides by 2.

2x/2 30/2 = 15

Answer:

subtract 260-135=120

Step-by-step explanation:

Answer:

105 for 3 hours

Step-by-step explanation:

First we have to find that how much he is charged for 1 hour.

140 : 4 = 35 per hour

Then we have to find how much he is charged for 3 hours by multiplying with 3.

3 x 35 = 105 per 3 hours

Answer:

£105

Step-by-step explanation:

let y represent the unknown amount

£150 = 4 hrs

y = 3 hrs

we then cross multiply

£150 x 3 hrs = y x 4 hrs

450= 4y

divide both sides by 4

450/4 = 4y/4

105 = y

Answer:

b

Step-by-step explanation:

domt knowsjsbjsodnsodndjdns

Answer:

Answer is 62 degrees.

Step-by-step explanation:

The sum of all angles of a triangle is 180°

x + 70 + 48 = 180

x + 118 = 180

x = 180 - 118

x = 62

You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Answer:

49

Step-by-step explanation:

8*7=56

7*6=42

56+42=98

98/2=49

Answer:

angle SXV

Step-by-step explanation:

Answer:

Discount price= $14.4

Step-by-step explanation:

Giving the following information:

Original selling price= $18

Discount rate= 20% = 0.2

To calculate the discount price, we need to use the following formula:

Discount price= selling price * (1 - discount rate)

Discount price= 18 * (1 - 0.2)

Discount price= $14.4