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3 years ago

Solve by factoring. x2 - 49 = 0

1 answer:

6 0

Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)

(x)^2-(7)^2=(x-7)(x+7)

set to zero
x-7=0
x=7

x+7=0
x=-7

x=-7 or 7

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Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution

Iteru [2.4K]

Consider the equation:

$\sqrt{x+2}+4 = 8$

Subtracting '4' from both the sides of the equation, we get as

$\sqrt{x+2}+4-4= 8-4$

$\sqrt{x+2}= 4$

Squaring on both the sides of the equation, we get

$(\sqrt{x+2})^2 = (4)^2$

$x+2 = 16$

Subtracting '2' from both the sides of the equation, we get

$x+2-2=16-2$

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

4 0

3 years ago

Read 2 more answers

What are scenarios for the ratios 2:10, 10:2, & 12:1?

frozen [14]

Answer:

2:10 2/10 2 to 10 10:2 10/2 10 to 2 12:1 12/1 12 to 1

Step-by-step explanation:

3 0

3 years ago

A shark is at -80 feet. It swims up and jumps out of the water to a height of 15 feet. Write a subtraction expression for the ve

SpyIntel [72]

15-(-80)=95

he jumped 95 ft.

6 0

3 years ago

The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.

Katarina [22]

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

$\frac{part}{whole} = \frac{percent}{100}$

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

$\frac{37.40}{34} = \frac{x}{100}$ cross multiply

34x = (37.40)(100)

34x = 3740 divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

<u>just to check... </u>

34 • 1.10 = $37.40

34 • .10 = 3.40

34 + 3.40 = 37.40

8 0

3 years ago

Will give Brainly if correct

KengaRu [80]

Answer: -8

Step-by-step explanation: When it says f(x), all you have to do is find value x on the coordinate plane and look up or down until you find a point that runs through that x value. In this case, if you draw a line on x=5, you can see that it goes across a point that has a y value of -8, which is your answer.

8 0

3 years ago