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Umnica [9.8K]
3 years ago
12

Explain the difference between the graphs of :

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

The only difference is that for any positive value of 'x' g(X) and h(X) will be same and for any negative value of 'x' g(x) and h(x) will be different.

Step-by-step explanation:

Given

f(x)= |x|

g(x) = |x+5|\\\\h(x)= |x| +5

|x| is modulus of x so modulus makes negative value as psoitive

for example

|3|= 3

|-3|=3

now we will solve for the above

For x=4

g(4)=|4+5|\\=|9|\\=9

and

h(4)=|4| +5\\=4 +5\\=9

Now for x=-4

g(-4)=|-4+5|\\=|1|\\=1

and

h(-4)=|-4| +5\\=4 +5\\=9

so for positive value it is same and for negative value it is different

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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
Round 36.319 to the nearest tenth
vampirchik [111]
36.3 because the digit in the hundredths place is not 5 or greater
3 0
3 years ago
Read 2 more answers
The equation of line q is 5y - 4x = 10. Write the standard fom of the equation of the line that fits the following description:
kumpel [21]
<h3>Answer:  -4x+5y = 100</h3>

===================================================

Explanation:

The given equation is the same as -4x+5y = 10

It is of the form Ax+By = C, where A = -4, B = 5, C = 10

Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.

This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.

Plug in the coordinates of (-15,8) to find the value of D

-4x+5y = D

-4(-15)+5(8) = D

60+40 = D

100 = D

D = 100

We have -4x+5y = D update to -4x+5y = 100

The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)

Parallel lines have the same slope, but different y intercepts.

Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.

7 0
3 years ago
Here are two rectangles.
Drupady [299]
The two rectangles are similar and the scale factor is 3:4
3 0
3 years ago
Please help I am struggling. Caled draws two triangles and claims that the triangles are congruent. For the case where his claim
krok68 [10]

Answer:

Everything except the last one about rigid transformations. Rigid transformations change the shape in size or the shape completely.

7 0
3 years ago
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