6. Which expressions are equivalent to
4(x - 1)? Circle all that apply.

Answer:

x = 6

Step-by-step explanation:

180° is always all triangles.

This is a right triangle, so that means that the angle that is unknown is 90.

Angles:

90

60

7x - 12

90 + 60 + 7x - 12 = 180

150 - 12 + 7x = 180

138 + 7x = 180

7x = 180 - 138

7x = 42

7x/7 = 42/7

x = 6

Therefore in each composite function we get different domains and ranges which is given below.

(1) f(x) = x+2 , g(x) = 3x - 1

(f + g)(x) = f(x) + g(x)

              =  x+2 + 3x - 1

             = 4x +1

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f - g )(x) = f(x) - g(x)

                =  x+2 -3x +1

               = -2x + 3

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f.g)(x) = f (x) g(x)

          = (x+2)( 3x - 1)

           = 3x²- x + 6x - 2

           = 3x²+ 5x -2

Domain = (-∞ , ∞) and range = [-49/12 ,∞)

(f/g)(x) = f(x)/g(x)

           = x+2/3x-1

Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)

(2) f(x) = x² - 5 and g(x) = -x +8

   (f + g)(x) = f(x) + g(x)

                 = x² - 5 -x +8

                 = x² - x +3

Domain = (-∞ , ∞) and range = [11/4 ,∞)

(f - g )(x) = f(x) - g(x)

              =  x² - 5 +x -8

              =  x² + x - 13

Domain = (-∞ , ∞) and range = [-53/4 ,∞)

(f.g)(x) = f (x) g(x)

          = ( x² - 5 )(- x +8)

          = -x³ + 8x² + 5x - 40

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f/g)(x) = f(x) / g(x)

          = x² - 5 / -x +8

Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59  ,∞)

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Answer:

4 hours      

Step-by-step explanation:

Big time ski mountain charges $5 per hour plus $50 insurance.

Powder hills charges $10 per hour plus $30 insurance.

Let the number of hours be x.

For big time ski mountain, it means the total cost of x hours of lesson is:

[tex]B=50+5(x)\\B=50+5x[/tex]

For powder hills , it means the total cost of x hours of lesson is:

[tex]P=30+10(x)\\P=30+10x\\[/tex]

We  need to equate both equations to find the time that the costs would be the same.

That is :

[tex]50+5x=30+10x[/tex]

Collect like terms:

[tex]10x-5=50-30\\5x=20[/tex]

Divide through by 5:

[tex]x=\frac{20}{5} \\x=4 hours[/tex]

It would take 4 hours for the cost of the lessons to be the same.

PLEASE MARK ME AS BRAINLIEST

40÷3 or [tex]13\frac{1}{3}[/tex]  square yards of tiles are needed.

To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.

As per the known fact, 1 foot = 1÷3 yards

So, converting given width into yards, we will simply multiply

10 feet = (1÷3)×10

10 feet = 10÷3 yards

Now, calculating the square yards of tile needed or area.

Needed tiles = (10÷3)×4

Performing multiplication to find the square yards of tile needed -

Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.

Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.

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Answer: I am in 8th grade but am in virtual

Answer:

x = 4/9

Step-by-step explanation:

Remember when you subtract logs, you divide the numbers;

This means;

log x - log (x+4) = -1   ---------can be written as;

[tex]log\frac{x}{x+4} =-1[/tex]

Eliminate the log as

[tex]\frac{x}{x+4} =10^{-1}[/tex]

x/ x+4 = 1/10

10x=x+4 --------collect like terms

10x-x =4

9x = 4 ------find value of x

x= 4/9

Answer:

x = 59° , y = 44°

Step-by-step explanation:

See the attached image below ,

Since the whole angle is 180° we can write it like this ,

(2x + 18)° + (x - 15)° = 180°

2x + x + 18 - 15 = 180

3x +3 = 180

3x = 177

x = 177/3

x = 59°

and now for y,

y = (x - 15)°      CORRESPONDING ANGLES PROPERTY

y = x - 15

y = 59 - 15

y = 44°        

An integer is a whole number that can be positive, negative, or zero.

The integer that represents the change in the amount of money in Gabe's wallet is -9.

An integer is a whole number that can be positive, negative, or zero.

We have,

Salad cost = $9

Let the total amount in the wallet = $M

Now the amount in the wallet = $M - $9

There will be $9 less in Gabe's wallet.

The change can be denoted by a negative integer -9 from the wallet.

Thus,

The integer that represents the change in the amount of money in Gabe's wallet is -9.

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Answer:

<EBF = 40

Step-by-step explanation:

<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.

Answer:

21

Step-by-step explanation:

You have to distribute the 7 in this case:

f(x) = 7(-x + 3)

f(x) = -7x + 21

The y-intercept is the number without the x with it. So, with this function it is 21.

I hope this helps!!

- Kay :)

Answer:

$9.98

Step-by-step explanation:

The first step is to calculate the total fabric that Calista has

= 2 1/2 + 1 3/4

= 5/2 + 7/4

= 17/4

The next step is to calculate the fabric that she needs

= 17/4-3

= 5/4

If each yard of fabric costs $7.98 then the amount needed can be calculated as follows

= 7.98 × 5/4

= 7.98 × 1.25

= 9.975

= $9.98

Hence Kalista needs $9.98

Answer:

The pond is already at the nearest tenth, 120 ft

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

Answer:

1/3

Step-by-step explanation:

[tex]5(x+1)+3x=6-(4x-3) \\ \\ 5x+5+3x=6-4x+3 \\ \\ 8x+5=-4x+9 \\ \\ 12x=4 \\ \\ x=1/3[/tex]

Answer:

A and D

Step-by-step explanation:

C

i gotta add words so i meat the 20 character limit :)

Answer:

I believe the answer is b I hope you do well:)

Answer: 7/12 + 1/3 is 11/12

Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.

7/12+1/3 in fractions is 11/12.

A fraction represents a part of a whole.

We have to find the value of 7/12+1/3

We have to find the LCM of denominators 12 and 3.

The LCM of 12 and 3 is 12

7+4/12

Seven plus four is eleven

11/12

Hence, 7/12+1/3 in fractions is 11/12.

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Answer:

If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.

Step-by-step explanation:

The two functions appear to be symmetric about the y axis, and satisfy the equation:

Answer:

I don't find any other way or solution

Step-by-step explanation:

5x^2+7x=5x(x+7/5)

Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!

Answer:  Yes, the house is 12 m tall.

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion.

Like:  [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex]   (other proportions could be correct, as long as corresponding parts are lined up).

Solve by cross-multiplying (multiply each diagonal, then set equal).

This gives us:     1.1(x)  = 8.8(1.5)

Simplify:                 1.1x = 13.2

then divide both sides by 1.1 to solve for x:   x = 13.2/1.1 = 12

This tells us the height of the house is 12 m.  A 13 m ladder would ideally reach the top.

The first graph shows the x-intercept of -3 and y - intercept of 5.

Option A is true.

What is Intercepts?

The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.

Given that;

The x - intercepts = -3

And, The y - intercepts = 5

Since,

The x - intercepts = -3

That's mean the line cross at the point - 3 on x - axis.

And, The y - intercepts = 5

That's mean the line cross at the point 5 on y - axis.

Clearly, In graph first;

The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.

Therefore,

The first graph shows the x-intercept of -3 and y - intercept of 5.

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Answer:

First choice, 1/3

Step-by-step explanation:

If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3

The answer is 1/3.

- emmatannerfns

Answer:

Place one at (-7,-4) and the other at (-4,-6)

Step-by-step explanation: