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guapka [62]
2 years ago
11

Which of the following is an example of an exponential function?

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer: Choice D p(\text{x}) = 500(1.02)^{\text{x}}

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say p(\text{x}) = 500(1.02)^{\text{x}} instead of p(\text{x}) = 500(1.02){\text{x}}

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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

5 0
3 years ago
sarah is putting her sweaters in boxes to organize her closet.seven sweaters can fit in each box. sarah will fill as many boxes
Morgarella [4.7K]

Given: Sarah can fit 7 sweaters in a box

She has 38 sweaters

the remaining sweaters will stack on the shelf in the closet.

By dividing 38 by 7 we will get:

\frac{38}{7}=\frac{35+3}{7}=\frac{5\cdot7+3}{7}=5\frac{3}{7}

So, she will need 5 boxes, she will put 35 sweaters in 5 boxes

The remaining sweaters = 38 - 35 = 3 sweaters

So, the answer is: 3 sweaters will go in her closet

6 0
1 year ago
Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. budgets $29.50 per month for total cell
natima [27]
The answer is the letter A! I hope this helps
7 0
3 years ago
6z^6-21z^4-12z^2<br>give in step by step explanation​
Bas_tet [7]

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

3 0
3 years ago
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Counterexample for: The sum of a negative and a positive number is always negative
vredina [299]

Answer:

The sum of a negative and a negative is always a positive

Step-by-step explanation:

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