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aliina [53]
3 years ago
5

Q4 Q20.) Give the equation of the exponential function whose graph is shown.

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
Hi again!


I used an online calculator to help me graph each of the functions.

The correct answer is option D

Let me know if you have any questions about the answer!


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The teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as th
wariber [46]
4+2x = x (x = student in smaller group)

4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group 
4 + 2(8) = 20 students in the larger group
8 0
4 years ago
Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a
Ilia_Sergeevich [38]

Answer:

Continuous: g(x) and j(x)

Removable: h(x) and m(x)

Infinite: f(x) and i(x) and k(x)

Jump: l(x)

Step-by-step explanation:

5 0
3 years ago
2a. Determine the equation of the line connecting the points (0, -1) and (2, 3) *
Sauron [17]
First create the equation y=Mx+ B

B is the y intercept so when y = 0, B = -1.

Now we have y=Mx - 1

The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)

Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0

Plug them into the equation and solve

M = (3 + 1) / (2 - 0)
M = 4/2 = 2

Now we have the equation y = 2x - 1

Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1

2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
8 0
3 years ago
A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or anot
Trava [24]

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 66, \sigma = 10

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

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

Z = \frac{78.21 - 66}{10}

Z = 1.22

Z = 1.22 has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

6 0
3 years ago
Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr
PSYCHO15rus [73]

Answer:

x=\frac{9}{8}\ yards

x=1.125\ yards

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

x+x+x+x+x+x+x+x=8x

Then:

8x=9\ yards

Now we solve the equation for x

8x=9\ yards

Divide both sides of equality by 8

\frac{8}{8}x=\frac{9}{8}\ yards

x=\frac{9}{8}\ yards

So the length of each piece is \frac{9}{8} of a yard.

This is: 1.125 yards

6 0
3 years ago
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