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Setler79 [48]
2 years ago
13

What are the domain and range of the exponential function below?

Ex%2B6" id="TexFormula1" title="F(x) = 5^x+6" alt="F(x) = 5^x+6" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

B

Step-by-step explanation:

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Attached is the graph of the exponential function.

It is the basic graph of exponential function of y = 5^x which is shifted 6 units above (because of +6 at the end).

<em><u>Looking at the graph, the domain is the set of all x values.</u></em>

<em><u>The range is anything above 6.</u></em>

Correct answer is B.

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Solve the inequality |* +31 &lt; |2x + 1.<br> |x+3|&lt;|2x+1|
Kisachek [45]

Answer:

Step-by-step explanation:

Here are the steps to follow when solving absolute value inequalities:

Isolate the absolute value expression on the left side of the inequality.

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:

(quantity inside absolute value) < -(number on other side)

OR

(quantity inside absolute value) > (number on other side)

The same setup is used for a ³ sign.

If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:

-(number on other side) < (quantity inside absolute value) < (number on other side)

The same setup is used for a £ sign

7 0
3 years ago
Ms. Martin bought 96 ounces of decaf coffee beans and 72 ounces of
denis23 [38]

Answer:

its B

Step-by-step explanation:

4 0
3 years ago
P^2 - 17p + 72 factor the trinomial. enter smaller number first ? answer (p+?)(p+?)
klio [65]

Answer:

(p - 8)(p - 9)

Step-by-step explanation:

We need  2 numbers whose product is + 72 and whose sum = -17.

They are -8 and -9


3 0
3 years ago
Anyone know how to do this
svlad2 [7]

Answer:

The area of the rectangle on the left side is

9cm \:  \times 4cm = 36 {cm}^{2}

The area of the bottom rectangle is

6cm \times 2cm = 12 {cm}^{2}

The total area of the composite figure will be

36 {cm}^{2}  + 12 {cm}^{2}  = 48 {cm}^{2}

Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

8 0
3 years ago
How much would $300 invested at 7% interest compounded continuously be worth after 4 years
marissa [1.9K]
The formula of compound continuously is
A=p e^rt
A future value?
P present value 300
R interest rate 0.07
T 4 years
E constant
A=300×e^(0.07×4)
A=396.94 round your answer to get
A=397
8 0
3 years ago
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