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Alex17521 [72]
2 years ago
7

Graph f(x)=

class="latex-formula">+1 and g(x)=−x+4 on the same coordinate plane.
What is the solution to the equation f(x)=g(x) ?



Enter your answer in the box.

x =

Mathematics
2 answers:
Veronika [31]2 years ago
8 0
Answer: x = 1. Graph attached

Explanation.

You can see the graph in the image attached.

To make the graph I recommend that you make a table with integer values of x from - 2 to + 4

x        f(x) = 2^x + 1                              g(x) = - x + 4

-2        2^(-2) + 1 = 1/4 + 1 = 3/4          - (-2) + 4 = 2 + 4 = 6

-1        2^(-1) + 1 = 1/2 + 1 = 3/2           - (-1) + 4 = -1 + 4 = 3

0         2^0 + 1 = 1 + 1 = 2                     0 + 4 = 4
 
1         2^1 + 1 = 2 + 1 = 3                      -1 + 4 = 3

2          2^2 + 1 = 4 + 1 = 5                    -2 + 4 = 2

So, the intersection point on the graph is (1, 3). Which means tha the solution is x = 1.

Lynna [10]2 years ago
3 0
The solution is x=1.

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The answer is 48
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2 years ago
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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

Z = \frac{X - \mu}{\sigma}

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

6 0
3 years ago
Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of
Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0
2 years ago
Which function does the graph represent
myrzilka [38]

Answer:

The answer is d

Step-by-step explanation:

I graphed it

-b/2a to get the vertex

3x^2-12+9

-(-12)/(2)(3)=2

plug in 2 to the function

12-24+9=-3 which is the y value on the graph

(2,-3) is the vertex

3 0
3 years ago
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Which of the following does not satisfy the equation x-2=3.5
Sedbober [7]

Answer:

5.5

Step-by-step explanation:

5 0
3 years ago
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