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3 years ago

Solve for x: |x| − 8 = −5 (2 points) x = 3 and x = −3 x = 3 and x = 13 No solution x = −13 and x = −3

1 answer:

8 0

X=3 and -3; if you plug in those choices you'll see that the answer is equal to -5.
Also: add 8 to both sides. |X| = 3, so what two values of x will equal 3 when you take their absolute value? 3 and -3

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Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000

jolli1 [7]

Answer:

The population of town after 1 year is 25,750 .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm n}$

Or, The population after 1 year = 25,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 1}$

Or, The population after 1 year = 25,000 × $(1.03)^{1}$

Or, The population after 1 year = 25,000 × 1.03

∴ The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750 . Answer

3 0

3 years ago

The price of a dress is reduced by 550%. When the dress still does not sell, it is reduced by 550% of the reduced price. If t

Masja [62]

Answer:

x = $200

The original price is $200

Question :

The price of a dress is reduced by 50%. When the dress still does not sell, it is reduced by 50% of the reduced price. If the price of the dress after both reductions is $50, what was the original price?

Step-by-step explanation:

Let x represent the original price of the dress.

First reduction

After first reduction the value of the price is given as;

p1 = x - 50% of x = (1-0.50)x = 0.5x

p1 = 0.5x

Second reduction

After the second reduction the value of the price is given as;

p2 = p1 - 50% of p1 = (1-0.50)p1 = (0.50)0.50x

p2 = 0.25x .....1

Since, p2 is given

p2 = $50

Substituting into equation 1

$50 = 0.25x

x = $50/0.25 = $200

x = $200

The original price is $200

4 0

3 years ago

Fill in the y-value for each box in the t-chart using the equation below !?

riadik2000 [5.3K]

3,4,7 just plug the x into the equation

3 0

2 years ago

Trigonometry

Mashcka [7]

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and $m\angle E=22^{\circ}$

We need to determine the area of the triangle EFG

<u>Area of the triangle:</u>

The area of the triangle EFG can be determined using the formula,

$\text {Area}=\frac{1}{2} fg \sin E$

Substituting the values, we get,

$\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}$

Simplifying the values, we have,

$\text {Area}=\frac{1}{2}(40)(0.37)$

Multiplying, we get,

$\text {Area}=\frac{14.8}{2}$

Dividing, we get,

$\text {Area}=7.4$

Hence, the area of the triangle EFG is 7.4 square units.

3 0

2 years ago

What is the graph of x-y=1?

vesna_86 [32]

Answer:

so you have the y intercept of 1 so it is (1,1) bc x=1

Step-by-step explanation:

6 0

2 years ago