Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

Rewrite the fractions so they have a common denominator

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Now add them together:

6/12 + 8/12 + 9/12 = 23/12 rewrite to a mixed number: 1 and 11/12 total cups

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

Answer:

(5,0)(3,0)

Step-by-step explanation:

x^2 - 8x + 15 = 0

(x - 5)(x - 3) = 0

x - 5 = 0

x = 5

x - 3 = 0

x = 3

Answer:

Lesser x = -10

greater x = -2

Step-by-step explanation:

Find the zeroes:-

[tex]f(x)=(x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} =16[/tex]

[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]

[tex]x+6=[/tex] ± [tex]4[/tex]

[tex]x+6=4[/tex]

[tex]x=4-6[/tex]

[tex]x=-2[/tex]

or, [tex]x+6=-4[/tex]

[tex]x=-4-6[/tex]

[tex]x=-10[/tex]

So, [tex]x=-10, \: or\: x=-2[/tex]

OAmalOHopeO

Answer:

LESSER X=-10

GREATER X=-2

Hope it helps:)))

have a marvellous day every single day!

Step-by-step explanation:

Answer:

i think the answer is 25pi

The circumference of the circle is 26π, having center at point (3,-7) and a point on the circle is (8,5).

A circle is a round-shaped picture, that has no corners or edges, in geometrical figure it has the largest area for any given length or parameter.

The point of center of the circle 0 = (3, -7).

And the point on the circle C = (8, 5).

The radius of the circle = the distance between center and point on circle

Use the formula to find distance between two points,

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

= √(8-3)² + (5 + 7)₂

= √5² + 12²

= √25 + 144

= √169

= 13

The radius of the circle r = 13.

The circumference of the circle = 2πr = 2 x π x 13 = 26π.

The circumference of the circle is  26π.

To know more about Circle on:

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Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

Answer:

-0.3n + 0.6

Step-by-step explanation:

We can eliminate the parentheses, obtaining:

0.5n - 0.3 - 0.8n + 0.9

and then combine like terms, obtaining:

-0.3n + 0.6

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

el ancho es

18

 pulgadas y la longitud es

2

×

18

=

36

 pulgadas.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

alexander

Step-by-step explanation:

Answer:

Step-byit is alexander

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

not a function

Step-by-step explanation:

A function has a one to one relationship

No input value can have more than one output value

-2 as an input goes to both 4 and -1 so it has more than 1 output

This is not a function

Answer:

Two ways to solve is to just do column addition or split 200+50+7 and add it to 400+30+8 first add 200+400 = 600, 50+30=80, 7+8 = 15. Add 600+80+15= 695.

Step-by-step explanation:

Answer:

695

Step-by-step explanation:

Answer:possible

Step-by-step explanation:

The Taylor is right and Lupita is wrong.

It is required to Construct a math argument.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

In 2000 census, the population of a city was 935,426.

In 2010 census, the population of the same city was 934,578.

1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.

2. Lupita is wrong it should be seventy-two thousand five hundred sixty.

Therefore, the Taylor is right and Lupita is wrong.

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Answer:

Step-by-step explanation:

1. Convert to decimals.

[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar

[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar

[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar

2. Subtract muffin sugar from total sugar

6.75 cups total sugar  -  1.50 cups fir muffins = 5.25 cups remaining

3. Divide remaining sugar by amount used per loaf nutbread

5.25 cups sugar / 1.75 cups for each loaf nutbread = 3

3 Loaves of nutbread were made.

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

Answer:

Step-by-step explanation:

Scale factor:

When applied to the area consider k² as a scale factor.

The actual area:

The area on the map:

Answer:

ALL POSSIBLE DIMENSIONS OF THE RECTANGLE (whole numbers):

1 cm and 36 cm (Perimeter = 74 cm)

2 cm and 18 cm (Perimeter = 40 cm)

3 cm and 12 cm (Perimeter = 30 )

4 cm and 9 cm (Perimeter = 26)

6 cm and 6 cm Perimeter= 24 (squares are also considered rectangles, this is a square because of equal sides)

The rectangle with the greatest perimeter consists of the dimensions 1 cm and 36 cm.

EXPLANATION:

I listed all possible factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

And have come up with 5 possible dimensions with numbers from the listed factors above (when the dimensions of each rectangle are multiplied the result will be 36/the area)

Multiplication is used because the area of a rectangle is length x width

And I used the formula for perimeter:

2 (l + w)

And found the greatest perimeter (74 cm) that belongs to the rectangle with the dimensions 36 cm and 1 cm.

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.

Answer:

Question 1's answer is 75 mph

Question 2's answer is 30 minutes

Step-by-step explanation:

Answer:

1. 65mph

2. 1/2 hour

Step-by-step explanation:

1. The equation is D=R×T. Since the distance was 130 miles and the time was 2 hours, rewrite the equation as 130=2R. Divide both sides by 2 and you get R=65

2. Using the equation, write 35 miles as distance and 70 mph as rate: 35=70T. Divide both sides by 70: T=0.5, which is equal to 1/2 hour, or 30 minutes.

Answer:

19.5

Step-by-step explanation:

Answer:

Push-Ups: 15, 30, 45, 60, 75

Sit-Ups: 30, 60, 90, 120, 150

Step-by-step explanation:

Multiply the number of push-ups by 2 to find the number of sit-ups.

Answer: For the push ups fill them up with the numbers 45, 60, and 75/ For the sit-ups fill them up with 90, 120, and 150./ But I'm pretty confused to find the overall example would you try to explain a bit more.

Step-by-step explanation: