MATHEMATICS HIGH SCHOOL

Use the linear equation to answer the question
y=2/3x-3
y=-3/2x+2

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

3y = 2x - 9

2y = -3x + 4

3x + 2y = 4

-2x  + 3y = -9

6x + 6y = 8

-6x + 9y = -27

15y = -15

y = -1

3(-1) = 2x - 9

-3 = 2x - 9

6 = 2x

3 = x

(3, -1)

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A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?Group of answer choices

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What decimal number is halfway between 14 and 15?

Answers

14+x=15-x\n\nx+x=15-14\n\n2x=1\ /:2\n\nx= (1)/(2) \ \ \ \Rightarrow\ \ \ 14+x=14+ (1)/(2) =14.5
the answer to your question is14.5

The function f(t) = 4t^2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)^2 + k, where a, h, and k are integers, and interpret the vertex of f(t).A - f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 3 meters from the ground
B - f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 1 meter from the ground
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground
D - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answers

Answer:

C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.

Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.")  Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

Mr. Anders wants to put a fence around his backyard. His backyard is rectangular. The lengths of the sides are 75 yards , 45 yards, 75 yards, and 45 yards. How much fencing will Mr. Anders need ?

Answers

75 + 45 + 75 + 45 = 240 yards

What's 1/2 in simplest form?

Answers

1/2 in simplest form is 1/2. you cant go any lower than that.
1/2 in simplest form? You can't simplify it any further. So it's just 1/2. Hope I helped.

Which of the following points lie on the line that contains the points P (3, 3) and Q (9, 21)?

Answers

Answer: B and C

Step-by-step explanation:The line that contains the points P (3, 3) and Q (9, 21) can be represented by the equation y = 3x + 6 1. To determine which of the following points lie on this line, we can substitute the x and y coordinates of each point into the equation and check if it holds true.

Let’s start with point A (1, 5). Substituting x = 1 and y = 5 in the equation, we get:

5 = 3(1) + 6

This is not true. Therefore, point A does not lie on the line.

Next, let’s check point B (6, 15). Substituting x = 6 and y = 15 in the equation, we get:

15 = 3(6) + 6

This is true. Therefore, point B lies on the line.

Finally, let’s check point C (12, 33). Substituting x = 12 and y = 33 in the equation, we get:

33 = 3(12) + 6

This is true. Therefore, point C lies on the line.

Therefore, points B and C lie on the line that contains points P and Q.
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