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EleoNora [17]
3 years ago
10

What is the solution to the inequality below?

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x  has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

We've proven that this solution is accurate for both parts, so it is definitely the one we want!

Hope this helps!

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Tom and Jerry both earn the same monthly salary. Each month: Tom saves 35% of his salary. Jerry spends of his salary and saves t
sineoko [7]

Answer:

How much did Jerry spent out of his salary

Step-by-step explanation:

Please complete the question

4 0
3 years ago
Esteban has a big jar in his room. He has 600 coins total, and 240 of them are pennies
Aleks [24]

Answer:

Percentage of Pennies is 40

Step-by-step explanation:

Total coins are 600

Pennies are 240

Percentage of pennies = (240/600) × 100%

= 0.4 × 100%

= 40%

3 0
3 years ago
I need help its math
Degger [83]

Given: w²+9=6w [0, 3, 6, 9]

We need to substitute each number for w and find which works

Sub Zero: 0²+9=6×0

Simplify: 9=0. 9 does not equal 0, so it is not 0

Sub Three: 3²+9=6×3

Simplify: 9+9=18

Addition: 18=18

The statement 18=18 is true, therefore we have our answer.

Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.

3 0
3 years ago
A building across the street casts a shadow that is 24 feet long your friend is 6 feet tall and casts a shadow that is 4 feet lo
matrenka [14]

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

8 0
3 years ago
Read 2 more answers
A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.
SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

Slope (m) = \frac{y2-y1}{x2-x1}

Plugging values in formula, we get

m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0
3 years ago
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