MATHEMATICS HIGH SCHOOL

Which expressions are equivalent to the expression −6x + 8? Select all that apply. 1. −2(3x + 4) 2. 2(−3x + 4) 3. 5(x + 1) − 11x + 3 4. x + 2 − 7x + 6 5. 8 − 6x

Answers

Answer 1
Answer: 1)
-2(3x+4)=-6x-8≠-6x+8

2)
2(-3x+4)=-6x+8

3)
5(x+1)-11x+3=5x+5-11x+3=-6x+8

4)
x+2-7x+6=-6x+8

5)
8-6x=-6x+8

Answer: The expressions 2,3,4 and 5 are equivalents.

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Find the value of 4x^2– 2y when x = 3 and y = 2.

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

Mario bought $5 worth of stamps at the post office. He bought ten more 6-cent stamps than 10-cent stamps. The number of 8-cent stamps was three times the number of 10-cent stamps. He also bought two 20-cent stamps. How many of each kind of stamp did he purchase?

Answers

He bought 2 20-cent stamps.
That is $0.40.
He spent $4.60 on the other stamps.

He bought x 6-cent stamps, y 10-cent stamps, and z 8-cent stamps.

y + 10 = x
z = 3y

6x + 10y + 8z = 460

6(y + 10) + 10y + 8(3y) = 460

6y + 60 + 10y + 24y = 460

40y + 60 = 460

40y = 400

y = 10

x = y + 10 = 10 + 10 = 20

z = 3y = 3(10) = 30

He bought
20 6-cent stamps
10 10-cent stamps
30 8-cent stamps
2 20-cent stamps

Solve for n in the literal equation
2x+n=t

Answers

n=t-2x. The equation should look like that.
i believe the equation should look something like n=t/2x

Part 1 : angle-angle-side , angle-side-angle, hypotenuse-leg, side-side-angle, side-angle-side,angle-angle-angle, side-side-sidePart 2 : can be proven congruent or cannot be proven congruent

Geometry

Answers

Answer:

The two triangles are related by Angle-Side-Angle (ASA), so the triangles can be proven congruent.

Step-by-step explanation:

As you can see in the images provided, the triangles have 2 congruent corresponding angles accompanied by a congruent corresponding side. This leaves you with the answer choice of the ASA Theorem.

Solve for the line from the graph, thank you!

Answers

Answer:

y = 3/4 + 3/2

Step-by-step explanation:

Slope = 3/4

Solve for y-int.

0 = 3/4(-2) + b

-3/2 + b = 0

b = 3/2

y = 3/4x +3/2

tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?

Answers

b=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books
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If an object is dropped from a height of 85 feet, the function h(t)=-16t^2+85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?a. 85.00 seconds b. 69.00 seconds c. 0.33 seconds d. 2.30 seconds