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Katen [24]
3 years ago
11

When the input is 1, what is the output of the function? That is, find the value of g(1).

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

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Can someone please be generous & help I’ve been struggling all night
Alchen [17]

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

3 0
3 years ago
The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of
finlep [7]

Answer:

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this quesstion:

\sigma = 1.5, n = 22

So

M = 1.645*\frac{1.5}{\sqrt{22}} = 0.53

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

4 0
3 years ago
Ricky earns $8.50 per hour at his mothers office. He Plans on working 12.5 hours this week how much money will Ricky earn?
soldi70 [24.7K]

Answer:

$106.25

Step-by-step explanation:

earns in 1 hour = $8.50

earns in 12.5 hr=  $8.50*12.5= $106.25

5 0
4 years ago
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Ksju [112]

Answer:

86

Step-by-step explanation:

In this question, we are asked to calculate the average mean score for a group of students split into two different emerging groups.

We calculate the total score for each of the groups. This is done by multiplying the average score by the number of students.

Total score of section A is 15 * 80 = 1,200

For section B, total score is 20 * 90 = 1,800

Overall score is thus 1200 + 1800 = 3000

We add the scores together and divide by the total number of students in both sections

Average score is thus 3000/35 = 85.71 which is approximately 86

3 0
4 years ago
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side
galben [10]

Answer:

First rectangular solid and second Rectangular solid

1. Bases are in the form of square having same dimensions

2. Height of first rectangular solid=2 ×Height of second rectangular solid

The true statements are

A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.

(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .

(D) Volume of first solid = x *x*2 H=2 x²H

Volume of second solid = x*x*H=x²H

Ratio of volumes =2:1

So, option (D) is true.

(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]

=2[x²+4 H*x]=2 *x*[x+4* H]

Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]

Option A, D, E are correct about two solids.

Step-by-step explanation:

8 0
3 years ago
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