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Semenov [28]
3 years ago
9

When an inequality is written in slope intercept form, the inequality symbol indicates which type of line to draw and which side

to shade. List the four inequality symbols and how each one relates to the graph. For example, y< tells you that the line is ______ and the shading is _____ the line. (Rewrite the sentence with the correct word in each blank.)
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

see the explanation

Step-by-step explanation:

we know that

case 1) if you have

y < mx+b

The line is dotted and the shading is below the line

case 2) if you have

y > mx+b

The line is dotted and the shading is above the line

case 3) if you have

y \geq mx+b

The line is solid and the shading is above the line

case 4) if you have

y \leq mx+b

The line is solid and the shading is below the line

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What is the slope of the line with the equation of y = 3/4 x that passes through the point (2, 1)?
Nadusha1986 [10]

Answer:

slope is 3/4

Step-by-step explanation:

the slope is just what is attached to the x

3 0
3 years ago
The sum of two numbers is 26. The larger number is 5 more than twice the smaller. What are
babymother [125]

Answer:

Step-by-step explanation:

Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:

n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:

3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

3n = 21

(3n)/3 = 21/3

(3/3)n = 21/3

(1)n = 7

n = 7

Therefore, ...

2n + 5 = 2(7) + 5

= 14 + 5

= 19

CHECK:

n + (2n + 5) = 26

7 + (19) = 26

7 + 19 = 26

26 = 26

Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

7 0
2 years ago
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The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio
CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

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

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

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the sequence is by -5

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-13,-18,-23,-28

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