MATHEMATICS MIDDLE SCHOOL

At Target shirt That costs $25 goes on sale for $15.What is the percent of decrease in the price

Answers

Answer 1
Answer:

Step-by-step explanation:

15/25 - 1 = -0.4 = -40%

The price was decreased by 40%.

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I have a problem from precalculus cosx/1-tanx +sinx/1-cosx =cosx+sinx prove the identity

Answers

Answer:

see attachment

Step-by-step explanation:

What is the standard form of the equation y = (x + 2)^2 -3y = x^2 + 4x - 3
y = x^2 + 4x + 7
y = x^2 + 4x + 1
y = x^2 + 4x - 3

Answers

Answer:

y=x^2+4x+7

Step-by-step explanation:

y=(x+2)(x+2)-3

y=x^2+2x+2x+4-3

y=x^2+4x+7

Answer:

C. y = x² + 4x + 1

Step-by-step explanation:

y = (x + 2)² - 3

y = x² + 4x + 4 - 3

y = x² + 4x + 1

10.25Geno had a gift card for $40. He bought a DVD for $19.50. He spent the remaining amount on two video games. To find the cost of each video game, he used the following steps.
40.00 - 19.50 = 20.50
20.50 ÷ by 2 = 10.25
each video cost

Geno now wants to write an equation to solve the problem. He let g = cost of a video game.

Which equation can be used to find the cost of each video game?
A. 2g = 19.5
B. 2g + 40 = 19.5
C. 2g –19.5 = 40
D. 19.5 + 2g = 40

Answers

D) 19.5 + 2g = 40

thats all you're asking, right?
c. 2g-19.5=40 I think i'm right

I need help with this problem so i got 12 but the correct answer is 18. What is the value of |x|+y when x is -3 and y is 15. please show how you got 18

Answers

remember |(._.)|=positive (._.)

evaluate seperately
when x=-3
|-3|=3
when y=15
so therefor
|-3|+15=
3+15=18

Last year, Austin, Texas received 23.5 inches of rainfall. This year, Austin received 21.2 inches of rainfall. Find the percent of decrease in the number of inches of rainfall. Round your answer to the nearest tenth of a percent, if necessary.

Answers

Let's consider that 23.5 is 100% of rainfall.
23.5 ..... 100 %
21.2 ..... x %

Calculate x:
x = (21.2 \cdot 100)/(23.5) = 90.212766, which is around 90.2%.

The percent of decrease is 100 - 90.2 = 9.8 %.

Answer:

B 9.8

Step-by-step explanation:

What are the solutions to the system of equations?

Answers

Answer:

A. (1,5) and (5,13)

Step-by-step explanation:

We have been given a system of equations. We are asked to find the solution of our given system.

\left \{ {{y=x^2-4x+8}\atop {y=2x+3}} \right.

Equate both equations:

x^2-4x+8=2x+3

x^2-4x-2x+8-3=2x-2x+3-3

x^2-6x+5=0

Split the middle term:

x^2-5x-x+5=0

x(x-5)-1(x-5)=0

(x-5)(x-1)=0

Use zero product property:

(x-5)=0\text{ (or) }(x-1)=0

x=5\text{ (or) }x=1

Now, we will substitute both values of x, in our given equation to solve for y.

y=2x+3

y=2(1)+3

y=2+3

y=5

One solution: (1,5)

y=2x+3

y=2(5)+3

y=10+3

y=13

2nd solution: (5,13)

Therefore, option A is the correct choice.

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = x² - 4x + 8 → (1)

y = 2x + 3 → (2)

Since both express y in terms of x we can equate the left sides, that is

x² - 4x + 8 = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 1 : y = (2 × 1) + 3 = 2 + 3 = 5 ⇒ (1, 5)

x = 5 : y = (2 × 5) + 3 = 10 + 3 = 13 ⇒ (5, 13)

Solutions are (1, 5) and (5, 13)
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