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qaws [65]
3 years ago
7

Which system of inequalities represents reglon Z? 6

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

A(0,-2), B(1,1)

Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

b=-2 - ----> the point A is the y-intercept

substitute

y=3x-2 - -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

y\geq 3x-2

C(0,2), D(5,1)

step 2

Find the equation of the dashed red line

Let

Find the slope of CD

m=(1-2)/(5-0)=-1/5

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

b=2 ----> the point C is the y-intercept

substitute

y=-(1/5)x+2  -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

therefore

The second inequality is

y<-(1/5)x+2

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

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Select the correct answer.
Naddik [55]
You use the FOIL method, and how you do this is -

(x - 7) (x + 8)

Multiply the first x by both numbers in the second factor. Which means, you multiply x by x and 8, the two in (x + 8).

With this, you get -
x^2 + 8x

Then do the same thing with -7.

-7x - 56

Then combine the two.
x^2 + 8x - 7x - 56

Combine like terms.

x^2 + x - 56

So now, 7 x 8 is 56
And -7 + 8 would be 1. And that is the value of “x” which is b in the form a^2x + bx + c.

Now with this, you take those two numbers and make the factors =
(x + 8) (x - 7)

Then you set these equal to 0.

x + 8 = 0

Subtract the 8 from both sides.

x = -8

————

x - 7 = 0

Add the 7 on both sides.

x = 7

Answer: A
8 0
3 years ago
Read 2 more answers
Help don’t know what to do
nydimaria [60]

Answer:

=6

Step-by-step explanation:

find the LCM of the two denominators 3 and 6 which is 6

equate in that such that 6÷3*2x=4x

6÷6×x=x

add the two=5x

5x/6=5

multiply by six both sides

5x=30

divide both sides by 5 to get x

x=6

hope it helps

4 0
3 years ago
There is concern that increased industrialization may be increasing the mineral content of river water. Ten years ago, the silic
Tema [17]

Answer:

a) P value = 0.0013

b) No, it is not plausible that the silicon content of the water is no greater than it was 10 years ago

Step-by-step explanation:

The null hypothesis here is “Mean is equal to 5” while alternate hypothesis is that “Mean is greater than 5”

Given  

Mean = 5, x’ = 5.4 and sigma = 1.2 and n = 85

Z = x-u’/sigma/sqrt n

Substituting the given values, we get –  

Z = 3.02

A) P value = 0.0013 which is less than 0.05 and thus we will reject the null hypothesis

B) There is enough evidence to reject the null hypothesis  

6 0
3 years ago
Joanne measures the heights and arm spans of the girls on her basketball team. She plots the data and makes a scatterplot compar
Paladinen [302]

Answer:

The answer is B

Step-by-step explanation:

5 0
3 years ago
Solve the simultaneous equation:<br> 6x+4y=34<br> 3x-y=14
Fantom [35]

Answer:

x=5, y=1. (5, 1).

Step-by-step explanation:

6x+4y=34

3x-y=14

---------------

y=3x-14

6x+4(3x-14)=34

6x+12x-56=34

18x=34+56

18x=90

x=90/18

x=5

3(5)-y=14

15-y=14

y=15-14

y=1

6 0
3 years ago
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