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alekssr [168]
3 years ago
10

Find a value for b so that the polynomial x^2+ bx + 25 factors to (x + 5)^2.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

10 = b

Step-by-step explanation:

Begin by expanding (x + 5)^2

(x + 5)(x + 5)

First: x*x = x^2

Outside: x *  5 (the last term which is a 5)

Inside: 5+ x

Last:  5*5 = 25

x^2 + 5x + 5x + 25

x^3 + 10x + 25

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Step-by-step explanation:

The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3

Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.

Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.

So, the answer that follows these 2 conditions is B.

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The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection
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Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

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When reflecting (x, y) over the x axis is (x, -y)

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How do you find the percent of a number?
Tom [10]

Answer:

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X

Y is 25, P% is 20, so the equation is 25/20% = X

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20

Substitute 0.20 for 20% in the equation: 25/0.20 = X

Do the math: 25/0.20 = X

X = 125

So 25 is 20% of 125

Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100

15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign

0.876 = 0.876 * 100 = 87.6%

(hope this helps can i plz have brainlist :D hehe)

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