MATHEMATICS HIGH SCHOOL

Complete the solution of the equation. find the value of y when x equals -8
8x+8y=-48

Answers

Answer 1
Answer: 8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
(8) (−8) + 8y = −48
−64 + 8y = −48
8y − 64 = −48
-----------------------------------------
Add 64 to each side
8y − 64 + 64 = −48 + 64
8y = 16
---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = 2
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y = 2 is your answer

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1.)What is the only solution of 2x^2 + 8x = x^2 – 16?

Answers

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

2 * x^2 + 8 * x = x^2 - 16
2 * x^2 - x^2 + 8 * x + 16 = 0
x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.

Answer:

x= -4

Step-by-step explanation:

took the test:)

Before 2017, smartphones by major manufacturers all had screens with a aspect ratio. In 2017, two major brands released phones with screens in an aspect ratio. However they still reported their screen size using the same diagonal length of the earlier phones, 5.8 inches. How did the change in aspect ratio affect the screen size, if at all?

Answers

Answer:

the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio

the area of the screen is b x a x 0.5

we can form triangles:

old aspect ratio (16:9):

a = 1.778b

h = √(a² + b²)

5.8 = √[(1.778b)² + b²]

5.8 = √(3.16b² + b²)

5.8² = 4.16b²

33.64 = 4.16b²

b² = 33.64 / 4.16 = 8.0865

b = √8.0865 = 2.8437

a = 2.8437 x 1.778 = 5.056

area = 2.8437 x 5.056 x 0.5 = 7.19 in²

new aspect ratio (18.5:9):

a = 2.0556b

h = √(a² + b²)

5.8 = √[(2.0556b)² + b²]

5.8 = √(4.2253b² + b²)

5.8² = 5.2253b²

33.64 = 5.2253b²

b² = 33.64 / 5.2253 = 6.4379

b = √6.4379 = 2.5373

a = 2.5373 x 2.0556 = 5.2157

area = 2.5373 x 5.2157 x 0.5 = 6.62 in²

the actual screen area decreased by 0.57 in² or 7.93%

Please help brainiest will give you!Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3

Answers

The correct answer is B

Each equation given below describes a parabola. Which statement best compares their graphs? y = -3x2 y= -7x2

A. Both parabolas open downward, and y = -7x2 is wider than y = -3x2.
B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.
C. Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.
D. Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.

Answers

Answer:  The correct statement is (B). Both parabolas open downward, and y=-3x^2 is wider than y=-7x^2.

Step-by-step explanation:  The equations of the two parabolas are as follows:

y=-3x^2~~~~~~~~~~~~~(i)\ny=-7x^2~~~~~~~~~~~~~(ii)

The standard equation of a parabola is given by

y=a(x-h)^2+k.

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

From equation (i), we have

y=-3x^2\n\n\Rightarrow y=-3(x-0)^2+0,

so a = -3 < 0, so the parabola (i) open downwards.

From equation (ii), we have

y=-7x^2\n\n\Rightarrow y=-7(x-0)^2+0,

so a = -7 < 0, so the parabola (ii) open upwards.

Also, since -3 > -7, so the parabola (i) is wider than the parabola (ii).

Therefore, both parabolas open downward, and y=-3x^2 is wider than y=-7x^2.

The graphs of the parabolas are shown in the attached figure.

Thus, (B) is the correct ption.

The answer would be B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

Combine like terms.
3y + y + 6y
A. 10y
B. 8y
C. 9y-y
D. 2y

Answers

First off,like terms are value with the same unknown.

For example,in the equation 2x+3y+5y+4x,

The like terms would be 2x and 4x, with the same unknown x,
and the other like terms would be 3y and 5y with the same unknown y.

In this case (3y+y+6y), as they all have unknown y, they all are like terms.

To combine,we can simply add them together:
3y + y + 6y \n = 4y + 6y \n = 10y

Therefore the answer is A. 10y.

Hope it helps!

Answer: Its A.) 10y


Step-by-step explanation:

There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Neighborhood A: 30 homes and increases by 20% per year
Neighborhood B: 45 homes and increases by 3 per year.

N.A = 30 (1.20)^t
N.B = 45 + 3(t)

t = 5

N.A = 30(1.20)^5 = 30(2.48832) = 74.65 or 75
N.B = 45 + 3(5) = 45 + 15 = 60
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