a) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
(4Marks)​

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

27 = x

We are done! I hope this helps! :)

Answer:

50 degrees

Step-by-step explanation:

PLZ MARK BRAINLIEST

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

Both Mathematics and English : 25

Step-by-step explanation:

Total students: 100

math pass students: 50

English pass students: 70

both failed: 5

Now,

subject student : Total students-failed

: 100-5

: 95

Passed in both Subject: Math+English- S. S

: 50+70-95

: 25

: The students pass in both subject : 25

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

80 percent off

Step-by-step explanation:

First find the difference in cost (75-15=60)

then divide the difference by the original price 60/75=.8

Thew unknown value is $80 that is regular price of the ticket.

A percentage is a ratio or number that may be expressed as a fraction of 100. Additionally, it is denoted by the sign "%."

Given, Heather and her family are going to the grand opening of a new amusement park.

There is a special price on tickets this weekend.

Tickets cost $60 each, and this is 75% of the cost of a regular price ticket.

Let x be the price of the ticket without discount.

And tickets cost $60 with 75% discount.

That means;

The percentage,75 % of x = $60

x  × 75 / 100  = 60

6000 / 75 = x

x = 80

The cost of a regular price ticket is unknown value,

you would get $(x).

You start with

x  × 75 / 100  = 60

When solving for the unknown value, you would get $80

Therefore, $80 is the price of ticket 2 without discount.

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If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

area of the daises part of the garden = 1/3 x 30 1/2

10 1/6 square feet

Step-by-step explanation:

area of the daises part of the garden = area of garden x 1/3

= 1/3 x 30 1/2

Convert the mixed fraction to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

= 1/3 x 61/2 = 61/6

convert to mixed fraction

10 1/6

Answer: a and b

Step-by-step explanation:

The value of the expression (-2)(3)º(4) - 2 is -164.

Based on the answer choices provided, none of the options matc.

To solve the expression (-2)(3)º(4)-2, we need to follow the order of operations, which is parentheses, exponents, multiplication, and subtraction.

Let's break down the expression :

(-2)(3)º(4) -2

First, we calculate the exponent:

(-2)(81) - 2

Next, we perform the multiplication:

-162 - 2

Finally, we subtract:

-164

Therefore, the value of the expression (-2)(3)º(4) - 2 is -164.

Based on the answer choices provided, none of the options match the value of -164.

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Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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The quotient will be 102.

What is a quotient?

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The number 8976 is called the numerator or dividend, and the number 88 is called the denominator or divisor.

The quotient of 8976 and 88, the ratio of 8976 and 88, as well as the fraction of 8976 and 88 all, mean (almost) the same:

8976 divided by 88, often written as 8976/88.

= 8976/88

= 102

Hence, the quotient will be 102.

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Answer:

Step-by-step explanation:

Apply PEMDAS:

Step 1, Parenthesis:

Step 2, Parenthesis:

Step 3, Multiplication:

So the solution is:

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

B I'm pretty sure

Step-by-step explanation:

9 and 4 have 36 in common

to get 9 to 36 you multiply it by 4 and 2x4 is 8

to get 4 to 36 you multiply it by 9 and 1x9 is 9

9+8 is 17

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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Answer:

See Attachment

Step-by-step explanation:

I have attached the geometric diagram of the scenario below.

parallel lines = lines t and u, transversal line = line v, the angles which t makes with v are 1 and a, the angles which u makes with v are b and 2.

Answer:

65 degrees

Step-by-step explanation:

115*2=230

360-230=130

130/2=65

65 degrees is the answer.

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

0.25 g/mL

Step-by-step explanation:

d=m/v

6 g / 24 mL

0.25 g/mL

both (g) and mL were only used once so the answer includes both of them

Answer:

Step-by-step explanation:

15x13=?

15+15+1=31

so the answer is 31

Answer Key:

1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.

| I just want to help you with #2 anyway