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beks73 [17]
3 years ago
13

Choose the most appropriate answer.

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

The answer its A:

Step-by-step explanation:

I hope its correct.

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Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?
faust18 [17]
Use this property of logarithms:

\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y

Your equation transforms into:

log_4\left(\dfrac{x^2+3x}{x+5}\right)=1

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

\dfrac{x^2+3x}{x+5} = 4^1

In case you don't remember, this is the definition of a logarithm:

\log_b x = y \iff b^y = x

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)
\iff x^2-x-20=0
\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.

The correct answer is d.
5 0
3 years ago
Which fraction is greater than the fraction represented by the model?
babunello [35]

Answer:

7/16

Step-by-step explanation:

7/16>3/8

4 0
2 years ago
Read 2 more answers
Find the missing angle
valina [46]

Answer:42

Step-by-step explanation:

7 0
3 years ago
The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with
Sidana [21]

Answer:

(a) y = 6250x +17850 --- The function

(b) y = 49100 --- The salary in 5 years

Step-by-step explanation:

Given

y = 1250x + 22850

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{36600 - 24100}{3 - 1}

m = \frac{12500}{2}

m = 6250

The function is then calculated as:

y = m(x - x_1) + y_1

y = 6250(x - 1) + 24100

y = 6250x - 6250 + 24100

y = 6250x +17850

Solving (b): Salary in 5 years

Here:

x = 5

So:

y = 6250x +17850

y = 6250*5 +17850

y = 49100

8 0
3 years ago
2)
Slav-nsk [51]
I think I did this test and I think it’s A
8 0
3 years ago
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