MATHEMATICS HIGH SCHOOL

What are the multiples of 4?

Answers

Answer 1
Answer:

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,

Step-by-step explanation:

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Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana helped him find how much money he will have after 4, 15, 20, and 36 weeks. This table shows her results. What is the rate of change using Lana’s values for D and w? Is this a linear model or non-linear model?

W 4 weeks 15 weeks 20 weeks 36 weeks

D D= 3w =60 D = 3w + 60 D = 3w + 60 D = 3w + 60
= 3*4 +60 = 3 * 15 = 3 * 20 + 60 = 3 * 36 + 60
= 12 + 60 = 45 + 60 = 60 + 60 = 108 + 60
= 72 = 105 = 120 = 168
A.
The rate of change varies. It is a linear model.

B.
The rate of change varies. It is a non-linear model.

C.
The rate of change is . It is a linear model.

D.
The rate of change is 3. It is a linear model.

Answers

The answer is D. The rate of change is 3. It is a linear model.

The original equation D = 3w + 60 is in the form y = mx + b, in which m is always the rate of change.  In this case, m = 3, so the rate of change is 3.

Also, when the rate of change is constant, the equation is always linear.  If the equation was plotted on a coordinate plane, it would create a straight line.
D. The rate of change is 3. It is a linear model.

The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden

Answers

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    divide both sides by 6

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

Answer: The area of the garden is equal 200 square units.

Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )

Answers

Answer:

B' (-2, 3)

Step-by-step explanation:

A(5, 1)  to A'(6, -2)

A(6-5, -2-1)

A translation is 1, -3

consider the same translation of B'

therefore, the coordinates of B' is (-2, 3)

Answer:

B. -2, 3

Step-by-step explanation:

edge2021

/_A and /_B are vertical angles. If m_A = (2x – 4) and mZB = (x + 1)º,then find the value of x.

Answers

1. Set each equation to each other. 2x-4=x+1
2. Subtract x from 2x. 2x-x-4=x-x+1
3. Add 4 to both sides. x-4+4=1+4
4. Answer to value of x=5.

Taylor wants to paint his rectangular deck that is 42 ft long and 28 ft wide. A gallon of pain covers 350 sq ft. How many gallons of pain will Taylor need to cover the entire deck? Write and solve an equation to find the area of the deck.

Answers

He will need 3 111/116 gallons of paint. Equation: (42x28)÷350=3 111/116 gallons of paint
Area Equation: 42x28=1176 square feet
42ft*28ft=1176ft²
1176ft²/350ft²=3.36
So, you multiply 42 and 28 in order to find out how large of a space you are needing to paint. You then find out your deck is 1176 square feet. You would then divide by the paint bucket's coverage to find out how many buckets you would need. Then all you have to do is round up so you completely cover it and your answer is 4 buckets of paint, assuming a bucket of paint contains a gallon of paint..

HELP MEEEEE PLSSS guysssss

Answers

Answer:

E, 3.

Step-by-step explanation:

Since both f(x) and g[f(x)] are quadratic polynomials, g(x) must also be a linear polynomial.

Let g(x) = Ax + B, where A and B are constants to be determined.

Then we have A[2x² - 3x + 1] + B ≡ x² - (3/2)x + 3.

=> A = 1/2 and B = 5/2.

Hence, f[g(-1)] = f[(1/2)(-1) + (5/2)] = f(2) = 2(2)² - 3(2) + 1 = 3. (E)
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