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3 years ago

Simplify completely 3x2 + 21x - 54/ x2 + 3x - 54

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

27x-108 is my best anwer

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When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

il63 [147K]

Let $x$ be the unknown number. Its square is $x^2$ . The product of 6 and the square of the number is $6x^2$ . Increase this by 5 and you get $6x^2+5$ .

If this has to equal 4, you have $6x^2+5=4$

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2 years ago

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Your patio is 12 feet by 15 feet. After remodeling, the new dimensions are 18 feet by 22 feet. By how many square feet have you

Mashutka [201]

<h3>Answer: 216 square feet</h3>

Work Shown:

Old area = 12*15 = 180 square feet

New area = 18*22 = 396 square feet

Difference = New - Old = 396 - 180 = 216

The patio's area increased by 216 square feet.

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2 years ago

Please help logarithms!

nlexa [21]

Given:

$\log_34\approx 1.262$

$\log_37\approx 1.771$

To find:

The value of $\log_3\left(\dfrac{4}{49}\right)$ .

Solution:

We have,

$\log_34\approx 1.262$

$\log_37\approx 1.771$

Using properties of log, we get

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349$ $\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37$ $[\log x^n=n\log x]$

Substitute $\log_34\approx 1.262$ and $\log_37\approx 1.771$ .

$\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)$

$\log_3\left(\dfrac{4}{49}\right)=1.262-3.542$

$\log_3\left(\dfrac{4}{49}\right)=-2.28$

Therefore, the value of $\log_3\left(\dfrac{4}{49}\right)$ is $-2.28$ .

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3 years ago

Which statement is true about the speeds of the two cars

galben [10]

What two cars, I don’t see anything

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3 years ago

What is the value of 8 in 293,581?

Free_Kalibri [48]

Answer:10th place

Step-by-step explanation:

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2 years ago

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