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Natali5045456 [20]
3 years ago
6

7800$ increased by 6.5%

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
What is the question?

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Solve for x.
Ivahew [28]
ANSWER

x=\frac{2-\sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}

We have

3x^2-4x-2=0

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

3x^2-4x=2

Dividing through by 3 gives

x^2-\frac{4}{3}x= \frac{2}{3}

Adding (-\frac{2}{3})^2 to both sides gives

x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2

The expression on the Left Hand side is a perfect square.

(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}

\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}

\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}

\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}

Splitting the plus or minus sign gives

x=\frac{2- \sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}
3 0
3 years ago
Read 2 more answers
What is 6.9 times 10^-2 in standard form? thanks :)
poizon [28]

Answer:

0.069

Step-by-step explanation:

6.9 ×10^-2

69/1000

0.069

4 0
3 years ago
PLease help!!!! i really please hep
n200080 [17]

\pink{1}^{st}\mathtt{Row\ :-} missing letter is 2

\pink{2}^{nd}\mathtt{Row\ :-} missing letter is 3

\pink{3}^{rd}\mathtt{Row\ :-} missing letter is 1

Hope it is helpful to you ☺️

5 0
3 years ago
Maurice's new CD has 12 songs. Each song lasts between 3 and 4 minutes. He estimates that the whole CD is about 30 minutes long.
nlexa [21]

Answer:

The estimate is less than the actual length of the CD.

Step-by-step explanation:

Consider the provided information.

Maurice's new CD has 12 songs. Each song lasts between 3 and 4 minutes.

That means the minimum length of the CD should be: 12×3=36 minutes.

The maximum length of the CD should be: 12×4=48 minutes

He estimates that the whole CD is about 30 minutes long.

30 minutes is less than 36 minutes.

That means, the estimate is less than the actual length of the CD.

Hence, the correct statement is: The estimate is less than the actual length of the CD.

6 0
3 years ago
Challenge: You buy 3.19 pounds of Oranges​, 1.25 pounds of ​Grapes, and 1.82 pounds of Pears. What is your total bill?
cluponka [151]

Answer:

3.17 pounds of apples

1.25 pounds of pears 2

2.56 pounds of oranges

add = 7.98

I think...?

;-;

4 0
4 years ago
Read 2 more answers
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