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3 years ago

10

Twenty-seven minus 1.5 of a number (x) is not more than 36. What is the number?

1 answer:

alexandr1967 [171]3 years ago

5 0

Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.

Add 1.5x to both sides, so as to make the coefficient of x positive:

27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6

Check: let x = -6. Is the given equation then true?

27 = 36 + 1.5(-6) => -9 = -9? Yes.

Check: let x > -6. Is <span>Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.

Thus, x is equal to or greater than -6.</span>

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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:

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$\log_37\approx 1.771$

Using properties of log, we get

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

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

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

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3 years ago

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Step-by-step explanation:

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3 years ago

I dont understand this question, i did the factor of 36x^2 - 49 but I dont understand the second part

Nadya [2.5K]

Answer:

a = 6

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Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.

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2 years ago