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The solution to the system of inequalities y > -2x+7, y ≤ 3x-8 is the set of points ( (x,y) pairs ) in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

Suppose there is inequality given as: y ≥ f(x)

The region it covers is the region of value pairs (x,y) for which this inequality holds true.

We've to draw the region covered by it.

For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).

We just need to figure out this fact at 1 point on either side of the graph of the function y = f(x) , and then the area where y > f(x) is true, along with the curve of the function y = f(x) is included in the region covered by inequality y ≥ f(x)

For this case, the inequalities given are:

y > -2x+7, y ≤ 3x-8

Their solution is the points lying in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.

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Answer:

Step-by-step explanation:

To find the vertex from the given table look when the values of x or y start to switch the pattern. For example look at y value they get lower and lower 15,8,3,0,-1 then they get greater and greater 0, 3,8,15,24,...

So the he vertex is at (-2, -1) because here is where the pattern changed.

Y-intercept of the parabola is where the parabola intersects the y-axis so the x must be 0 there. Look in the table where is x=0 and see is at y=3.

Y-intercept point is at (0, 3)

X-intercept of the parabola is where the parabola intersects the x-axis so the y must be 0 there. Look in the table where is y = 0 and see is at x= -1 and also at x= -3.

X-intercept points are at (-1, 0) and (-3, 0)

Equation of the parabola in factored form is in general

y= (x- x intercept1)(x- x intercept 2), and for our problem is:

y = (x +1)(x +3)

The equation for the axis of symmetry is x = -2 because we have a vertical parabola (since x is squared in the equation) and the vertex is as we said previously at (-2, -1).

Answer: D

Step-by-step explanation:

By definition, sec x = 1/cosx.

Answer:

B

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Look at the number 16 on the y side and then go to the dot that is on the 16 line then go all the way down and look at the number of people.

Answer:

refrence attached

Step-by-step explanation:

Answer: x=12

Step-by-step explanation:

The two angles provided are on a straight line

A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x

[tex]10x-20+6x+8=180[/tex]

Simplify

[tex]10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180[/tex]

Add 12 on both sides

[tex]16x-12=180\\16x-12+12=180+12\\16x=192[/tex]

Divide both sides by 16 to isolate x

[tex]16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12[/tex]

Answer:

left to right

  12 18

  13 7

Step-by-step explanation:

i got it wrong for the answer

What is second set of coordinate called?

The range of the relation is the set of all possible second coordinates.

Answer:

The set of first coordinates of all the ordered pairs in a relation is called the domain of that relation. Similarly the set of the second coordinates(also called as images) of all the ordered pairs in a relation is called the range of that relation.

Step-by-step explanation:

hope:)

The amount Dempsey can expect to receive from the sale of the bonds is $424,578.27.

The amount that would be recieved from the sale of the bond is the present value of the bond. Present value is the sum of discounted cash flows.

Present value can be determined using a financial calcualtor:

PV = $424,578.27

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Answer: There are no answer choices but an example of a true statement would be that spending on a debit card will NOT count towards your credit score.

Step-by-step explanation:

Answer:

6561*27/9

Step-by-step explanation:

3^8=6561

6561*27=177,147

177,147/9=19,683

Answer:

87 plants

Step-by-step explanation:

6 x 16 = 96 - 9 = 87

The total units that will be produced by Pasadena Candle Inc. based on the projected sales given will be 49100 units

Expected unit to be sold = 58000

Desired ending inventory = 6000

Total units available = 52000

Less: Estimated beginning inventory = 2900

Total units to be produced = 49100

In conclusion, the total units will be 49100.

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Answer:

27/462

OR

.058

Step-by-step explanation:

the probability that the first student, selected at random, is a nursing student is 3/22.

the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.

the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.

Answer:

answer is 3 9/4

Step-by-step explanation:

Trust me I am in 12th grade and make straight A;s

The form that the null and alternative hypothesis should take if the investigator is concerned only about salary discrimination include U = $82000 and U < $82000.

The alternative hypothesis is the claim of the test. Here, the investigator wants to test whether the average salary of females is less than $82500.

Assuming the hypothesis test supports the conclusion of salary discrimination against female members, the 0.01 level of significance will be recommended.

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Using the z-distribution, as we are working with a proportion, the 99% confidence interval is given by:

a) (0.733, 0.927).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters are p = 0.83, n = 100, hence the bounds of the interval are given as follows.

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 - 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.733[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 + 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.927[/tex]

Hence option a is correct.

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Answer:

$1.08

Step-by-step explanation:

Use a system of equations. Let x represent eric's money and y represent erica's money.

x+y=5.40

2x=1/2y

Let's solve for y in the second equation and substitute it into the first.

Double both sides.

4x=y

Substitute

x+4x=5.40

5x=5.40

Divide by 5

x=$1.08

So eric has $1.08

Answer:

9/32 , 5/15 , 3/8 , 7/16 , 15/32 , 1/2

Step-by-step explanation:

Answer:

$398.13

Step-by-step explanation:

Answer:

(-6,5)

Step-by-step explanation:

left 2 = x-2

up 3= y+3

Answer:

NF = 16

Step-by-step explanation:

Since N is the incenter of ΔABC then ND = NE = NF

ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3

Now , we calculate ND:

ND = 6(3) - 2 = 18 - 2 = 16

and because NF = ND then NF is also equal to 16

Answer:

i think there was a discount of 40

Step-by-step explanation:

Answer:

The answer is: 40% Off Discount

Step-by-step explanation:

$100 - $60 = 40%

Answer:

1/6

Step-by-step explanation:

1/3 divided by 2

Answer:

8 days per 1 pound

Step-by-step explanation:

Using the calculator enter 1 divided by .125

Thats all :)

Answer:

The answer is 105 degrees

Step-by-step explanation:

Z + 43 = a straight line which needs to equal 180 degrees.

Z = 180 - 43 = 137

answer: z = 137 degrees

Answer:

so we know that 43 and y are congruent so y = 43.

we also know that y + x has to equal 180

so

180 - 43 = 137

so x is 137. We also know that z and x are congruent, so therefore z is 137.

Step-by-step explanation:

Answer:

the correct answers are: put the values in numerical order before trying to find the median

the median is the number in the middle of an ordered set of values

Step-by-step explanation:

if i am wrong, im sorry but to my knowlage these are correct.

i hope this helped<33

Answer: A D E

Step-by-step explanation: