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3 years ago

Which graph shows the solution to this system of linear inequalities?

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Since all the graphs have the same line, you’re just looking for the correct shaded region. Since for both equations you want the shaded region to be less than the line, answer c solves the inequality.

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Derrick’s Dog Sitting and Darlene’s Dog Sitting are competing for new business. Derrick's Dog Sitting charges $12 plus $5 per ho

Sonja [21]

<h3>The equation to find the number of hours for which the total cost will be the same for the two services is:</h3><h3>12 + 5h = 18 + 3h</h3>

Solution:

Let "h" be the number of hours

Given that,

Derrick's Dog Sitting charges $12 plus $5 per hour

Cost : 12 + 5(number of hours )

Cost : 12 + 5h ---------- eqn 1

Darlene's Dog Sitting charges $18 plus $3 per hour

Cost: 18 + 3(number of hours)

Cost: 18 + 3h ---------- eqn 1

For eqn 1 = eqn 2, the number of hours for the total cost will be the same for the two services

Therefore,

12 + 5h = 18 + 3h

Thus option A is correct

4 0

3 years ago

The length of a rectangle is eight more than twice its width. The perimeter is 88 feet. Find the dimensions of the rectangle.

vodka [1.7K]

Answer:

length: 31

width: 12

Step-by-step explanation:

l=8+2w

p=2l+2w=88

(8+2w)+(8+2w)+w+w

16+6w=88

6w=72

w=12

l=8+2(12)

l=32

sorry if this was confusing

7 0

4 years ago

Read 2 more answers

What is the slope of this graph?

kvasek [131]

Answer:

-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

4 0

3 years ago

Let N be the universal set and A, B, C, D be its subsets given by A={x:xisaevennaturalnumber},B={x:xNandxisamultipleof3} C={x:x

Svet_ta [14]

Answer:

$A^{'}$ = {1,3,5,7,9,....}

$B^{'}$ = {1,2,4,5,7,8,10,11,13,14......}

$C^{'}$ = {1,2,3,4,5}

$D^{'}$ = {10,11,12,13,14,15,......}

Step-by-step explanation:

Solution:

It is given that, Universal set is the set of all Natural Numbers.

and

Set A, Set B, Set C, Set D are subsets of Universal set.

A = {x:x is even natural numbers} = {2,4,6,8,10,.....}

B = {x:x ∈ N and x is a multiple of 3} = {3,6,9,12,15,....}

C = {x:x∈ N and x < 5} = {6,7,8,9,10,.....}

D = {x:x ∈ N and x > 10} = {1,2,3,4,5,6,7,8,9}

U = {1,2,3,4,5,6,7,8,9,10,11,........}

Complements:

$A^{'}$ = U-A = {1,2,3,4,5,6,7,8,9,10,11,........} - {2,4,6,8,10,.....}

$A^{'}$ = {1,3,5,7,9,....}

$B^{'}$ = U-B = {1,2,3,4,5,6,7,8,9,10,11,........} - {3,6,9,12,15,....}

$B^{'}$ = {1,2,4,5,7,8,10,11,13,14......}

$C^{'}$ = U-C = {1,2,3,4,5,6,7,8,9,10,11,........} - {6,7,8,9,10,.....}

$C^{'}$ = {1,2,3,4,5}

$D^{'}$ = {1,2,3,4,5,6,7,8,9,10,11,........} - {1,2,3,4,5,6,7,8,9}

$D^{'}$ = {10,11,12,13,14,15,......}

8 0

3 years ago

Students at a certain school were surveyed, and it was estimated that 10% of college students abstain from drinking alcohol. T

MissTica

Answer:

you are unwilling to predict the proportion value at your school = 0.90

b)

The large sample size 'n' = 864

Step-by-step explanation:

Given estimated proportion 'p' = 10% = 0.10

Given Margin of error M.E = 0.02

Level of significance α = 0.05

you are unwilling to predict the proportion value at your school

q = 1- p = 1- 0.10 =0.90

The Margin of error is determined by

$M.E = \frac{Z_{\frac{\alpha }{2} } \sqrt{p(1-p)} }{\sqrt{n} }$

$0.02 = \frac{1.96 X \sqrt{0.10 (0.90)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{1.96 X \sqrt{0.10 (0.90)} }{0.02 }$

√n = 29.4

Squaring on both sides , we get

n = 864.36

Conclusion:-

The large sample size 'n' = 864

7 0

3 years ago