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umka2103 [35]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

\frac{2}{7} (x + 4) =  - 6 \\ x+4=\frac{-42}{2}\\x+4=-21\\x=-25

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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.

5 0
3 years ago
WORTH 10 points.
Tanya [424]
The answer is B because I did the math
8 0
3 years ago
Which number line shows -4 , 1,1 and 2 correctly plotted
Colt1911 [192]

Answer:

C

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

6 0
2 years ago
Find the slope of the line passing through the points (8,-6) <br> and (4,-8)<br> .
Murljashka [212]

Answer:

1/2 is the slope of the line

Step-by-step explanation:

To find slope, use the following equation

slope (m) = (y₂ - y₁)/(x₂ - x₁)

First, set each coordinate. Let:

(x₁ , y₁) = (8 , -6)

(x₂ , y₂) = (4 , -8)

Plug in the corresponding numbers for the corresponding variables.

m = (y₂ - y₁)/(x₂ - x₁)

m = (-8 - (-6))/(4 - 8)

Simplify. Note that two negative signs would result in a positive sign.

m = (-8 + 6)/(4 - 8)

Combine like terms.

m = -2/-4

Simplify. Divide common factors from both the numerator and denominator.

m = (-2/-4)/(-2/-2) = 1/2

1/2 is the slope of the line

~

4 0
3 years ago
the original recipe for tartar sauce yields 1 gallon but you need to prepare 2 1/2? round the answer to the nearest hundredth de
Evgesh-ka [11]
I believe the answer is 2.5. I apologize if I'm wrong :/ =))
3 0
3 years ago
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