If the function g(x) = f(x + 2), how can the graph of the function g(x) be obtained from the graph of f(x)?

Answer: 12=4c

Step-by-step explanation:

The required simplified value of c in the given expression is c = 3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The equation is the values of two expressions that are equal.

Here,
From the figure, we have to balance the equation,
So,
12 = c +c +c +c
4c = 12
c = 3

Thus, the required simplified value of c in the given expression is c = 3.

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ANSWER: 18

Step-by-step explanation:

6÷1/3=18

The number of servings she will have is 18.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Total quantity of the milk = 6 pint

This have to be divided in to 1/3 pint servings.

Let x be the number of servings.

We can write the equation as,

1/3 x = 6

Multiplying both sides by 3,

1/3 × 3x = 6 × 3

x = 18

Hence the total number of servings is 18.

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Answer:

its the linear par postulate because it talks about linear pairs

Answer:

Linear Pair Postulate

Step-by-step explanation: Complements is wrong because we are not trying to prove that two angles of different figures are congruent and we are given two angles are added up to 180 not 90. Supplements is wrong because we arent trying to prove that two angles of different figures are congruent. Vertical Angles is wrong becuase we dont know if these angles are made by intersecting lines. Linear Pair Postulate states that hat two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.

Answer:

Choice C: 6.23

Step-by-step explanation:

[tex]\frac{5}{100}[/tex] = [tex]\frac{x}{124.50}[/tex] -----> cross multiply

5(124.50) = 100x

622.5 = 100x

[tex]\frac{622.5}{100} = \frac{100x}{100}[/tex]

6.225 = x

6.225 rounded to the nearest hundredth is 6.23

She earned 6.23 commission.

Answer:

2658

Step-by-step explanation:

Answer: Huh

Step-by-step explanation:

Why would you throw away points

Answer:

[tex]-(a+1\frac{3}{4}b)[/tex]

Step-by-step explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

For the given trapezoid,

Perimeter = [tex]1\frac{1}{2}a+1\frac{1}{2}b+1\frac{1}{2}a+2\frac{3}{4}b[/tex]

By combining similar terms,

Perimeter = [tex](1\frac{1}{2}+1\frac{1}{2})a+(1\frac{1}{2}+2\frac{3}{4})b[/tex]

                 = [tex](1+\frac{1}{2}+1+\frac{1}{2})a+(1+\frac{1}{2}+2+\frac{3}{4})b[/tex]

                 = (2 + 1)a + [tex](3+\frac{1}{2}+\frac{3}{4})b[/tex]

                 = 3a + [tex](3+\frac{2}{4}+ \frac{3}{4})b[/tex]

                 = 3a + [tex](3+\frac{5}{4})b[/tex]

                 = 3a + [tex](3+1+\frac{1}{4})b[/tex]

                 = 3a + [tex]4\frac{1}{4}b[/tex]

For rectangle,

Perimeter = 2(Length + Width)

                 = 2(2a + 3b)

Difference between the perimeter of trapezoid and rectangle,

= (3a + [tex]4\frac{1}{4}b[/tex]) - 2(2a + 3b)

= (3a - 4a) + ([tex]4\frac{1}{4}b[/tex] - 6b)

= -a + [tex](4+\frac{1}{4}-6)b[/tex]

= -a + [tex](\frac{1}{4}-2)b[/tex]

= -a + [tex](\frac{1}{4}-\frac{8}{4})b[/tex]

= -a - [tex]\frac{7}{4}b[/tex]

= [tex]-(a+1\frac{3}{4}b)[/tex]

Answer:

Perimeter of rectangle ABCD = 9.64 units

Step-by-step explanation:

The formula used to calculate perimeter of rectangle is:

[tex]Perimeter\: of\: rectangle=2(Length+ Width)[/tex]

We know that rectangle has opposite sides same i.e Length (AB and CD) are same and Width( AD and BD) are same

We need to find Length and Width to find the perimeter

So, if we find Length AB and Width AC we can find perimeter

Finding Length AB

The length AB can be found using distance formula: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have A =(-6,-4) and B(-4,-4)

So, x_1=-6, y_1=-4, x_2=-4, y_2=-4

Putting values in formula and finding length

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-6))^2+(-4-(-4))^2}\\Distance=\sqrt{(-4+6)^2+(-4+4)^2}\\Distance=\sqrt{(2)^2+(0)^2}\\Distance=\sqrt{4+0}\\Distance = 2[/tex]

So, Length AB = 2

Now, Finding Width AC

The length AB can be found using distance formula: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have A =(-6,-4) and C(-4,-2)

So, x_1=-6, y_1=-4, x_2=-4, y_2=-2

Putting values in formula and finding length

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-6-(-4))^2+(-4-(-2))^2}\\Distance=\sqrt{(-6+4)^2+(-4+2)^2}\\Distance=\sqrt{(-2)^2+(-2)^2}\\Distance=\sqrt{4+4}\\Distance = \sqrt{8}\\Distance=2.82[/tex]

So, Width AD = 2.82

Now, We have Length = 2 and Width = 2.82

Finding perimeter of rectangle

[tex]Perimeter\: of\: rectangle=2(Length+ Width)\\Perimeter\: of\: rectangle=2(2+ 2.82)\\Perimeter\: of\: rectangle=2(4.82)\\Perimeter\: of\: rectangle=9.64[/tex]

So, Perimeter of rectangle ABCD = 9.64 units

I think it is 4 but im not to sure. Hope u get it right!

Answer:

p=23

Step-by-step explanation:

21+p=44

subtract 21 on both sides

p=23

hoped this helped, have a nice day! :)

Answer:

80% of 30

= 30 × 0.8

= 24

So the student answered 24 out of 30 questions correctly.

Answer:

24

Step-by-step explanation:

80/100 × 30=24 answers he got right

24/30 questions are right

to check we can multiply 24/30 ×100 to get 80%

Answer:i need the same answer

Step-by-step explanation:

Answer:

.5, 5, 8.5

Step-by-step explanation:

Answer:

Above 1 would be .5

above 10 would be 5

and above 17 would be 8.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Got it right on ed 2021

Answer:

[tex]\cos(T)[/tex] =[tex]\frac{\sqrt{15}}{5}[/tex]

Step-by-step explanation:

Given parameters.

[tex]TU = 4\sqrt 5[/tex]

[tex]SU = 4\sqrt 2[/tex]

[tex]ST = 4\sqrt 3[/tex]

Required

Determine [tex]\cos(T)[/tex]

Reference to [tex]\angle T[/tex], we have:

[tex]Opposite = 4\sqrt 2[/tex]

[tex]Adjacent = 4\sqrt 3[/tex]

[tex]Hypotenuse = 4\sqrt 5[/tex]

Apply trigonometry ratio of cosine

[tex]\cos(T)[/tex] [tex]= \frac{Adjacent}{Hypotenuse}[/tex]

Substitute values for Adjacent and Hypotenuse

[tex]\cos(T)[/tex] [tex]= \frac{4\sqrt 3}{4\sqrt 5}[/tex]

[tex]\cos(T)[/tex] [tex]= \frac{\sqrt 3}{\sqrt 5}[/tex]

Rationalize:

[tex]\cos(T)[/tex] [tex]= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]

[tex]\cos(T)[/tex] =[tex]\frac{\sqrt{15}}{5}[/tex]

Answer: 2 2/7

Step-by-step explanation:Make 4 to a fraction which is 4/1.And now you multiply 4/7 by 4/1 .ANd when you mutliply them together  you get 16/7.Lastly,you change 16/7 to a mixed number which is 2 2/7.

Answer:

1

Step-by-step explanation:

In this figure, |v| represents the absolute value to 0. For example, |-3| would be 3 because it is 3 spaces from 0.

|10| - 3 × |-2| +5

10 - 3 * 2 + 5

10 - 6 + 5 ^ PEMDAS

-4 + 5

1

The amount of interest that's owed by Darius after 6 months will be $14

Principal = $500

Rate = 5.6%

Time = 6 months.

Based on the information given, the simple interest will be calculated as:

Simple Interest = PRT/100

Simple Interest = ($500 × 5.6 × 1/2) / 100

Simple Interest = $1400/100

Simple Interest = $14

Therefore, the amount of interest that's owed by Darius after 6 months will be $14

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Answer:

1. 45.76, 52.17, 54.2, 55.16, 56.78

2. 9.18, 9.2, 9.98, 10.54, 11.23

3. 0.01, 0.05, 0.067, 0.07, 0.09

4. 33.14, 33.15, 33.45, 33.52, 33.55

5. 3.45, 4.45, 4.9, 5.49, 6.5

Answer:

3 is in

Step-by-step explanation:

Answer:

a. ⅛

b. ⅜

c. -⅜

Step-by-step explanation:

a. There are 8 units from 0 to -1, and also 8 units from 0 to 1.

Given that the numberline is divided I to equal segments, therefore, each segment will be of the following equal length:

¹/8 * 1 = ¹/8

Therefore, a segment = ⅛

b. Point N is 3 units from 0.

Each unit = 1 segment = ⅛

Point N would represent:

3 * ⅛ = ⅜

c. The opposite of point N, ³/8, is the same distance that would be covered to our left from 0.

-³/8 is the opposite of point N, ⅜

Answer:

x = 26°

Step-by-step explanation:

3x - 26° = 52°

3x - 26° + 26° = 52° + 26°

3x = 78°

3x : 3 = 78° : 3

x = 26°

Answer:

The interest is $1050 and the amount is $8550.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area of the octagon is 1395 square units option (A) 1395 square units is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have:

Octagon showed in the picture:

The area of the octagon = 2(1 + √2)a²

a is the side length.

a = 17 units

The area of the octagon = 2(1 + √2)(17)²

The area of the octagon = 1395.4 ≈ 1395 square units

Thus, the area of the octagon is 1395 square units option (A) 1395 square units is correct.

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9514 1404 393

Answer:

  46

Step-by-step explanation:

Put the numbers in place of the corresponding variables and do the arithmetic.

  [tex]b^2-16a+5\\\\=7^2-16\cdot\dfrac{1}{2}+5\\\\=49-8+5=\boxed{46}[/tex]

Answer:

Step-by-step explanation:

4 books out of 8 can be arranged in:

Answer:

If 4 books are chosen out of 8 books, they can be arranged as

[tex]C(8,4) = \frac{8}{} C\frac{}{4} = \frac{8!}{4!(8 - 4)!} = \frac{8!}{4 !\times 4!}= 70[/tex]

In 70 ways the books can be arranged.

Answer:

d ≈ 10.5

Step-by-step explanation:

The formula for the diagonal of a retangular prism (cuboid) is

[tex]d=\sqrt{l^2+w^2+h^2}[/tex]

1.) Plug in all the values for l, w, and h

[tex]d=\sqrt{5^2+6^2+7^2}[/tex]

2.) simplify by squaring the terms inside the square root

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

[tex]d=\sqrt{25+36+49}[/tex]

3.) Add the terms

[tex]d=\sqrt{110}[/tex]

4.) Simplify

[tex]d = 10.488[/tex]

5.) Round to one decimal place

d ≈ 10.5

Answer:

Hope this helps! :D

Answer:

0.02

Step-by-step explanation:

Move decimal point two spaces to the left