Evaluate the expression when x = 2

ANSWER

[tex]x>2[/tex]

EXPLANATION

We have the inequality

[tex]8(\frac{x}{4})>4[/tex]

We can cancel directly to get;

[tex]2(\frac{x}{1})>4[/tex]

[tex]\Rightarrow 2x>4[/tex]

We now divide both sides by 2,

[tex]\Rightarrow x>\frac{4}{2}[/tex]

[tex]x>2[/tex]

See graph in attachment

Yes. I take algebra 1 honors

(2,3)

(x,y)

x=2

y=3

This is because both lines meet at this direct point on the graph.

Answer:

Yes, the lines will intersect because the slopes are different. Also, both lines have a y-intercept of -7, so they both include the point (0, –7).

Step-by-step explanation:

Hello!

Explanation:

↓↓↓↓↓↓↓↓↓↓

First, rewrite 10 as 2*5

[tex]2k+2*5[/tex]

Then, factor out common term 2.

[tex]=2(k+5)[/tex]

Answer⇒⇒⇒⇒2(k+5)

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

negative

Let's find the slope of our line using the slope formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where

[tex]m[/tex] is the slope of the line

[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line

[tex](x_{2},y_{2})[/tex] are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so [tex]x_{1}=-2[/tex], [tex]y_{1}=1[/tex], [tex]x_{2}=2[/tex], and [tex]y_{2}=-1[/tex]. Let's replace the values in our formula to find [tex]m[/tex]:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-1-1}{2-(-2)}[/tex]

[tex]m=\frac{-2}{2+2}[/tex]

[tex]m=\frac{-2}{4}[/tex]

[tex]m=-\frac{2}{4}[/tex]

[tex]m=-\frac{1}{2}[/tex]

The slope of the graph of the linear function is [tex]-\frac{1}{2}[/tex]; since [tex]-\frac{1}{2}[/tex] is a negative number, the slope of the graph is negative.

(1) y = 7x , (2) y = 11x , (3) y = 9x , (4) y = 28x

given y varies directly as x then y = kx ( k is the constant of variation )

(1) find k using the given conditions k = [tex]\frac{y}{x}[/tex] = [tex]\frac{63}{9}[/tex] = 7

equation is y = 7x

(2) k = [tex]\frac{121}{11}[/tex] = 11

equation is y = 11x

(3) k = [tex]\frac{36}{4}[/tex] = 9

equation is y = 9x

(4) k = [tex]\frac{224}{8}[/tex] = 28

equation is y = 28x

Answer:

Number sentences.

Addition-Addend-Sum.

Subtraction-Difference.

Step-by-step explanation:

1. By definition Number sentences contains number and common symbols.

2. They can be: "Addition" (which has "Addend" that form the "Sum") and "Subtraction" (whose result is known as "Difference").

3. You can see the answer of the tree map in the figure attached.

PEMDAS:

20 + [tex]4^{3}[/tex] ÷ -8

Exponent

20 + 64 ÷ -8

Divide

20 +  -8

Add

20 + -8 = 12

hope this helps :)

The value of [tex]20+4^{3} /(-8)[/tex] is 12.

Given:

[tex]20+4^{3} /(-8)[/tex]

Simplifying the equation by the PEMDAS rule

We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

[tex]$\quad 4=2^{2}$[/tex]

[tex]$(4)^{3}=\left(2^{2}\right)^{3}=2^{6}$[/tex]

Substituting the values in the given equation,

[tex]$20+\frac{2^{6}}{-8}$$[/tex]

Dividing exponents as

[tex]$2^{6}$[/tex] divided by [tex]$2^{3}=2^{(6-3)}=2^{3}$[/tex]

[tex]$20+-8$$[/tex]

Simplify,

[tex]$20+-8$$[/tex]

Therefore, the value of [tex]20+4^{3} /(-8)[/tex] is 12.

To learn more about the PEMDAS rule

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the photo takes up 2/8 of the page

Let the angles are x, y and z.

Let the smallest angle is x

one angle is 78 degrees more than the smallest angle.⇒ y = x + 78 → (1)

the third angle is 4 times as large as the smallest angle. ⇒ z = 4 x → (2)

we should know that the sum of the angles of the triangle = 180°

∴ x + y + z = 180 →(3)

substitute from (1) and (2) at (3)

∴ x + ( x +78) + (4x) = 180

∴ 6x = 180 - 78 = 102

∴ x = 102 ÷ 6 = 17°

∴ y = 17 + 78 = 95°

∴ z = 4x = 68°

So, the measures of all three angles are 17°, 95° and 68°

Answer:

b and c

Step-by-step explanation:

Jack popped some popcorn, but 3 of the 150 did not pop.

the ratio of the jack's popcorn = [tex]\frac{3}{150}[/tex]

                                                   = [tex]\frac{1}{50}[/tex]

                                                  = 1 : 50

We will go through all the other given ratio to find whether they are same ratio of Jack's or not.

a. 2 unpopped out of 75 kernels  = [tex]\frac{2}{75}[/tex]

                                                       = 2 : 75  This is not a match

b. 2 unpopped out of 200 kernels = [tex]\frac{4}{200}[/tex]

                                                         = [tex]\frac{1}{50}[/tex]

                                                         = 1 : 50   This is same

c. 1 unpopped out of 50 kernels = [tex]\frac{1}{50}[/tex]

                                                     = 1 : 50 This is also same

So b and c has the same ratio of unpopped to total kernels as Jack's popcorn.

Answer:

The rate of change is of 0.25 lbs / person

Step-by-step explanation:

According to my research the formula for the Rate of Change is the following

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

In this situation we can use y for lbs and x for people. Since all the information was given to us in the question we can just plug the values into the formula above and solve for the rate of change.

[tex]\frac{17lbs-9lbs}{68-36} = \frac{8lbs}{32people} = 0.25lbs/person[/tex]

So we can see that the rate of change is of 0.25 lbs / person

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The number of girls who work there are:

                              92

It is given that:

The number of girls who work at Super shopper is 2 more than 3 times the number of boys.

This means that:

If the number of boys= x

Then the number of girls= 3x+2

If 30 boys work at super shopper.

i.e. x=30

Then 3x+2=92

Hence, the number of girls who work there are: 92

a. The independent variable is r. The dependent variable is m.

b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.

c. I can't do it online.

9 goes into 260, 28.8 repeating times. hope this helps!

28.8 is your answer.

The solution of expresison is, r = - 38

We have to give that,

An expression to simplify,

12r - 18 = 13r + 18

Now, We can simplify the expression as,

12r - 18 = 13r + 18

Subtract 12r on both sides,

12r - 18 - 12r = 13r - 12r + 18

- 18 = r + 18

Subtract 18 on both sides,

- 18 - 18 = r

r = - 36

Therefore, The solution is, r = - 36

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The length of pine street would be; 7.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We have been given that maple street is 3 times as long as pine street.

We need to find the length of pine street.

Therefore,

We have to divide 21 divided by 3 which is;

21/3 = 7

Hence, A pine street would be; 7.

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Answer:

990 pounds

Step-by-step explanation:

If one troop eats 11 pounds and there are 90 troops, you only need to multiply 90 by 11.

Answer:

The answer to your question would be Area = 280.13

Step-by-step explanation:

Area of the circle without the square: 380.13

Area of the square: 100

380.13 - 100 = 280.13

The Answer to this is: True.

The quotient and remainder of the given division operations are:

4)76 = 19

3)92 = 30 remainder 2

6)53 = 8 remainder 5

From the question, we are to evaluate the given divisions

The divisions can be evaluated as follows:

  19    

4)76

-  4      

   36

-   36  

 = 19

  30    

3)92

-  9      

   02

-     0  

     2

= 30 R 2

  08    

6) 53

-  0      

    53

-   48    

      5

= 8 R 5

-3x = -15      divide both sides by (-3)

-3x:(-3)=-15:(-3)

x = 5

Answer:

The answer is b, 5

Step-by-step explanation:

-3x = -15

(it sometimes helps to flip it, so that's what I'm going to do here to help it to make more sense)

x(-3) = -15

x(-3) devided by (-3) = -15 devided by (-3)

when you devide a negitive by a negative the answer will be positive

the absolute value of 15 devided by three is 5

your answer is a positive five, or just 5

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's

6x + 8y = 10 (1)*2

6x - 9y = 27 (2)*3

Now to get rid of the x's we take one of the equations from the other. It is easier to do (2)*3 -(1)*2

 6x - 9y = 27 (2)*3

6x + 8y = 10 (1)*2

    -17y = 17  

If we devide this equation by -17 we get

y = -1

We can plug this value of y into (1) to get

3x -4 = 5

add 4 to both sides of the equation

3x = 9

Divide by 3

x = 3

Now to check put x and y into (2)

6 - (-3) = 9  

As this is true, we have the solution

x = 3, y = -1

Answer:

The least value of n is, 9.

Step-by-step explanation:

Let n be the number of sheep in Integer.

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

[tex]S = 4n -8[/tex]

But, Sam still has more sheep than Mary i.e,  [tex]4n-8 > n+17[/tex]

Solve an inequality: [tex]4n-8 > n+17[/tex]

Add 8 both sides we get;

[tex]4n-8+8>n+17+8[/tex]

Simplify:

[tex]4n>n+25[/tex]

Now, subtract n from both the side, we get;

[tex]4n -n>n+25-n[/tex]

Simplify:

[tex]3n>25[/tex] or [tex]n>\frac{25}{3}=8.33333333[/tex]

Since n is the number of sheep in integer,

then the least value of n is, 9.  

It is true in this case, because you are trying to find the distance between two points. That also means you are trying to find the difference between two points, and to find the difference, you subtract. That is why what Brittany says is true.

Absolute value is always positive because absolute value represent distance and distance can not be negative.

Yes it is true, To determine the distance between 180 and 34, you can just subtract 180 - 34.

Since, absolute value is represent distance between two points

and absolute value is always greater or equal to zero.

Now, To  determine the distance between 180 and 34,  just subtract 180 - 34.

and then take absolute value.

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C=2 πr which is the formula for circumference

m = 4, n = 4

Plug in 4 for m and n

10(4) + (4)^2

Simplify. Multiply

4^2 = 4(4) = 16

10(4) = 40

40 + 16 = 56

56 is your answer

hope this helps