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zysi [14]
3 years ago
8

The graph of an exponential function is given. Which of the following is the correct equation of the function?

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer. 

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork. 

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Factor completely 2x^2+6x-80
Rom4ik [11]

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

7 0
3 years ago
Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed,
Sedbober [7]

Answer:

The distribution is symmetric.

Step-by-step explanation:

<em>The distribution will be skew left, if the data is more distributed on left side of graph.</em>

<em>The distribution will be right left, if the data is more distributed on right side of graph.</em>

<em>The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.</em>

<em>The distribution is uniform if the value of data remains constant throughout the graph.</em>

Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.

Thus, distribution is symmetric.

8 0
3 years ago
Sam is placing rope lights around the edge of a circular patio with a diameter of 18 feet. The lights come in lengths of 54 inch
andrew-mc [135]
You can find the circumference of the circle with the circumference equals 2pir.
circumference=2pi9
circumference=18pi
circumference=56.55 feet
you can then turn the feet into inches by multiplying by 12
(56.55 feet)x(12inches/foot)=678.58 inches
then divide 678.58 inches by 54 inches to find how many light strands are needed.
(678.58 inches)/(54 inches/strand)=12.57 strands
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME PLEASE HELP ASAP PLEASE HELP PLEASE AND THANK YOU
Allushta [10]

Answer:

y =mx + c

7 = 5/2 (-2) + c

7 = - 5 + c

c = 7 + 5

c = 12

Therefore, y = 5/2x + 12

Multiply through by 2

2y = 5x + 24

You're welcome

7 0
3 years ago
Someone please help me!
Vlad1618 [11]

Answer:

A. x \leq -16  

B. b > 11

C. c \leq -13

D. x \geq -9

Step-by-step explanation:

<u>Given the following algebraic expression;</u>

A. \frac {3x}{4} \leq 12

We would simplify the equation by multiplying all through by 4;

4 * \frac {-3x}{4} \leq 12 * 4

-3x \leq 48

Divide both sides by -3;

x \leq -16

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. 13c \leq -169

Divide both sides by 13

c \leq -13

D. 3x - 7 \geq 4x + 2

Collecting like terms, we have;

3x - 4x \geq 2 + 7

-x \geq 9

Divide both sides by -1

x \geq -9

8 0
3 years ago
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