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Marina CMI [18]
4 years ago
9

What is the domain of the function f(x)=−4log2(x+3)−6 ? enter your answer in the box?

Mathematics
1 answer:
salantis [7]4 years ago
8 0
Try this solution:
1. according to the definition of logarithm
log_ab=c \ =\ \textgreater \  \ a^c=b,    where a∈(0;1)∪(1;+oo) and b>0.
2. The variable is only in b, using item 1. it is possible to write: x+3>0. 
⇒ x>-3.
Answer: D(f)=(-3;+oo).
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Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,
mario62 [17]
Given the simple interest formula:

I = P•R•T

where:
I = interest
P = principal
R = interest rate
T = time (in years)

We can isolate R algebraically to find out the interest rate:

I = P•R•T

Divide both sides by P•T:

I / (P•T) = (P•R•T)/(P•T)

The formula for the interest rate is:
R = I / (P•T)

Substitute the given values into this formula to solve for the interest rate (R):

R = I / (P•T)

R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%

Therefore, the interest rate is 7%.

Please mark my answers as the Brainliest if you find my explanations and solution helpful :)
7 0
3 years ago
Y = (x + 1)(x - 2)<br> Distribution
stepan [7]

(x+1)2-
=it is meant to be (x+1)2
=2(x) + 2(1)
= 2x +2
I think
7 0
3 years ago
Read 2 more answers
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
Arturiano [62]

Answer:

<u>A. When Rita started, she had 7 packages of saplings.</u>

<u>B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

<u>When Rita started, she had 7 packages of saplings.</u>

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0
3 years ago
*<br> Simplify the expression:<br> (-6p+7). -4
Art [367]

Answer:

I'm assuming you need to distribute. When simplified the expression is 42p-28

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which one is higher -33 ft or -92 ft
ahrayia [7]

Answer:

-92

Step-by-step explanation:

because its farther away from 0

8 0
3 years ago
Read 2 more answers
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