Which system of inequalities is shown?
A y<x y>4 B y>x y​

Answer:

14b - 9m

Step-by-step explanation:

10b - 4b + 8b - 5m - 4m

14b - 9m

Answer:

x=5

Step-by-step explanation:

First, open up the parentheses to get 4x-2x+6=-4+5x-5. Now, move all numbers without variables to the right and those with variables to the left to get 4x-2x-5x=-4-5-6. Simplify both sides to have -3x=-15. Now divide both sides by -3 to get x=5

2:

You're finding perimeters so you're basically adding up all the sides.

44 + 36 + 11 +9 = 100

P(triangle BDE) = 100

4:

triangle XYZ is double the size of triangle RST

the constant of proportionality is 2

This means that ZX will be 12 , ZY will be 26 , and XY will be 17.4

Add them together, and you get 55.4

P(triangle XYZ) = 55.4

Answer: $12000 was invested at 7% while $8000 was invested at 9%.

Step-by-step explanation:

Based on the information given in the question, let the amount that was invested at 7% be n.

Therefore,

0.07n + 0.09(20000 - n) = 1560

0.07n + 1800 - 0.09n = 1560

-0.02n = 1560 - 1800

-0.02n = -240

n = 240/0.02

n = 120

Therefore, $12000 was invested at 7% while $8000 was invested at 9%.

Answer: Number of games lost = 23 and Number of games won = 59.

Step-by-step explanation:

Let x = Number of games lost, y = Number of games won.

y = 13 + 2x    (i)

x+ y = 82    (ii)

Substitute value of y from (i) in (ii) , we get

x+ 13 + 2x  = 82

⇒ 3x= 82-13

⇒ 3x = 69

⇒  x= 23      [Divide both sides by 3]

Put value of x in (i), y= 13+2(23) = 13+46=59

Hence, Number of games lost = 23 and Number of games won = 59.

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220 would be 48.

The amount of change over those three days is 268 points.

Here,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points.

We have to find,  the amount of change over those three days.

What is amount?

The sum total of two or more quantities or sums, is called amount.

Now,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday.

Hence, the points after loss = 220 - 48 = 172

And, when it gained 96 points.

Then, the points after gain = 172 + 96 = 268

Hence, The amount of change over those three days is 268 points.

Learn more about the amount visit:

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5x-14=3x

Then you just solve for x

X being 7

Hope this helped!

Answer and Step-by-step explanation:

Since it is a degree 3 polynomial, then it should have 3 solutions. But only one is given -7i which is an imaginary number. Since -7i is part of the solutions, then definitely, +7i is also part of the solutions. Since we are not given the last root, I would choose a suitable number in order to explain the process. Let us choose 1. Therefore, our roots are now:

±7i and 1.

In order to find the polynomial, we have:

x = +7i or –7i or 1, this means:

f(x) = (x – 7i)(x + 7i)(x – 1)

f(x) = [x² +7ix – 7ix – (7i)²](x – 1) = [x² – 49(–1)](x – 1) = (x² + 49)(x – 1) = x³ – x² + 49x – 49

Answer:

1:7

Step-by-step explanation:

Answer: 0.6

Step-by-step explanation:

Answer:

A. 42.5

Step-by-step explanation:

The triangle shown is an isosceles triangle. An isosceles triangle haas two of its sides and base angles equal. Hence;

<ACB = <ABC (Base angles are equal)

Given

<ACB = 42.5°

Required

<ABC

According to the law above which says <ACB = <ABC , hence <ABC is also equal to 42.5°

Answer:

4.666667

or round it to 4.67

x = [tex]\frac{y}{3}[/tex] - [tex]\frac{2}{3}[/tex]

Answer: The solution is the point (-14, -54)

Step-by-step explanation:

When we have a system of linear equations like:

y = a*x + b

y = c*x + d

The solution of this system is the point (x, y) that is a solution for both equations, if we graph the lines, this point would be the point where the lines intersect.

To start with this, we need to find the equations of the lines, we will use the following:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, for the first table, we can use the points: (-3, -10) and (0, 2)

The slope of this line is:

a = (2 - (-10))/(0 - (-3)) = 12/3 = 4

then we have:

y = 4*x + b

To find the value of b, we can just replace one of the points in the equation, for example, we can use the point (0, 2), this means that we need to replace x by 0, and y by 2.

2 = 4*0 + b

2 = b

Then the equation for the first table is y = 4*x + 2

For the second table, we can use the points (0, -12) and (3, - 3)

Then the slope is:

a = (-3 - (-12))/(3 - 0) = 9/3 = 3

Then we have:

y = 3*x + c

And to find the value of c, we can do the same as before, now we use the point (0, -12) then:

-12 = 3*0 + c

-12 = c

Then the equation for this line is:

y = 3*x - 12

The system of linear equations is then:

y = 4*x + 2

y = 3*x - 12

To find the solution of the system, we must have that y = y, then we can write:

4*x + 2 = y = 3*x - 12

4*x + 2 = 3*x - 12

Now we can solve this for x.

4*x - 3*x = -12 - 2

x = -14

x = -14

Now we can replace this in one of the equations to find the value of y.

y = 3*(-14) - 12 = -54

Then the solution is the point (-14, -54)

Answer:

34.675 square meters of paper

Step-by-step explanation:

multiply 3.65 by 9.5 to get the area or square meters

Answer:

The solution set is x ∈ ( -3 , ∞ ) .

Step-by-step explanation:

Two functions are given to us. And we have to find x such that g(x) > h(x) that is { x : g(x) > h(x)} .

So , the given functions are ,

According to Question ,

⇒ g(x) > h(x)

⇒ 6x + 7 > 3x - 2

⇒ 6x - 3x > -2 -7

⇒ 3x > -9

⇒ x > (-9)/3

⇒ x > (-3)

Hence x can have all values greater than (-3). Therefore x ∈ (-3 , ∞ ) .

Answer:

144

Step-by-step explanation:

6 x 24 = 144

Answer:

4.625

Step-by-step explanation:

hope i helped and give my stars plz :) have a good day <3

Answer:

Is 4.625

Step-by-step explanation:

To get this just divide 37 by 8. All fractions are division problems.

Answer:

Malia read the most pages

Step-by-step explanation:

Zak = 8.4 pages

Karen = 7.6 pages

Malia = 9.5 pages

Ali = 7.2 pages

Answer:

4 popped

Step-by-step explanation:

6+8=14

14-10=4

Answer:

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7

Step-by-step explanation:

The slope-intercept form of an equation is given by:

[tex]y = mx+b[/tex]

here m is the slope of the line and b is the y-intercept

Given

[tex]m = 2[/tex]

Putting m=2 in the general form

[tex]y = 2x+b[/tex]

In order to find the y-intercept, the given point (-3,1) will be substituted in the equation

So

[tex]1 = 2(-3)+b\\1 = -6+b\\b = 1+6\\b = 7[/tex]

Putting the value of b

[tex]y = 2x+7[/tex]

Hence,

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7

Answer:

y=4.2x-3.7

Step-by-step explanation:

Slope-intercept form is y=mx+b, so just plug in the numbers to where they go in the formula.

Answer:

Step-by-step explanation:

if she uses 1 1/2 cup of glycerin= 3/2 cups or 6/4 cups for a batch of mixture

if she has 3/4 left

we are missing how much she had in the beginning,