If f(x)=9x-6 and g(x)=x+6/9
f(g(x))
g(f(x))

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

1 = 5

2 = 8

3 = 1

4 = 3

and

5 = 9

Step-by-step explanation:

Answer:

8.75

Step-by-step explanation:

To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

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parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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Answer:

18.8 cubic inches

Step-by-step explanation:

1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)

1/3 · 3.14 · 1² · 3 = 3.14 in³

2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)

3.14 · 1² · 7 = 21.98 in³

3. Subtract the volume of Cup A from Cup B

21.98 - 3.14 = 18.84

4. Round 18.84 to the nearest tenth

18.84 → 18.8 in.³

Answer:

18 .8

Step-by-step explanation:

got it right on test

Answer:

?=6x-(x+3)-(2x+4)

=6x-x-3-2x-4

=3x-7

9514 1404 393

Answer:

  {x ∈ ℝ | x ≤ 3}

Step-by-step explanation:

Subtracting 5 from both sides, we see the solution is ...

  x ≤ 3

In set notation, this can be written ...

  {x ∈ ℝ | x ≤ 3}

Answer:

Ok?

Step-by-step explanation:

The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.

A)

y = ax + b

b = 40 as the line starts at (0 ; 40)

then the line goes down => so a < 0

between the 1st point and the second, we go 2 units on the right and we go 1 unit down

so a = - 1/2 = - 0,5

finally  y = - 0,5x + 40

B)

y = ax + b

with

a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5

with the point ( 0 ; -6) we know that b = -6

finally y = 1/5x - 6

C)

we use the point (0 ; - 10)

so Amir is right as b will be - 10

Answer:

It will cost $7.92

Step-by-step explanation:

We will need to find out how many table spoons of lemon we will need first.

We need to make 3 pies requiring half a cup of lemon juice.

3 * 1/2 = 1.5 cups

We convert the cups to tablespoons

1.5 * 16 = 24 tablespoons

Then, since each lemon yields two tablespoons, we divide the tablespoons required by two. This is to find the number of lemons we need.

24/2 = 12

We multiply lemons by the price the store is selling them.

12 * $0.66 = $7.92

This is the price to buy enough lemons to make the 9-inch lemon pies.

Answer:

18.19

Step-by-step explanation:

Answer:

D. \(70.34 cm^2\)

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

\( area = \frac{56}{360}*3.14*12^2 \)

\( area = 70.34 \)

Area of the sector ABC = \( 70.34 cm^2 \)

The answer is D

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

The average rate of change of f(x) is less than the average rate of change of g(x).

Step-by-step explanation:

I go this right.

Answer:

  y +17 = -5/3(x -19)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

You want a line with slope -5/3 through point (19, -17). Its equation is ...

  y -(-17) = -5/3(x -19) . . . . . substitute the given values

  y +17 = -5/3(x -19) . . . . . simplify

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

Step-by-step explanation:

x/2 + y/3=1. -. 1)

x/3 + y/2=1. - 2)

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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The software company released 227 home versions and 723 professional versions.

Let  h represent the number of home versions sold and p represent the number of professional versions sold.

Since 1000 copies where sold, hence:

Also the revenue was $38075, hence:

Solving equations 1 and 2 simultaneously gives:

h = 227, p = 723

The software company released 227 home versions and 723 professional versions.

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The answer is d 41 X 12= 492

Step-by-step explanation:

12 (12 + 17)

12(41)

= 492

Answer:

Not a function

Step-by-step explanation:

This is not a function. It will fail the vertical line test.  For any value of x, there are two different y values.  This tells us that it is not a function

Answer:

7/11

Step-by-step explanation:

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

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Answer:

1.23

Step-by-step explanation:

11.931 divided by 9.7 is 1.23.

97 × 123 = 11,931

so

9.7 × 123 = 1,193.1

To move the decimal point in 1,193.1 to the left two more times, the decimal point in 123 must also move to the left two times. So

9.7 × 1.23 = 11.931

Answer:

y = -0.5

Step-by-step explanation:

Okay, slope intercept form (remember this) is y = mx+b or y = mx-b.

m is the slope, so we put -0.5 there.

The origin is the very center of the graph. Where the x and y-axis meets. Think of the x-axis and y-axis as two number lines, one vertical and one horizontal. In coordinates, the origin is (0,0) because it is the center of the graph, and 0 is the center of a number line and we have 2 number lines. So, 2 zeros.

Slope is the steepness of a line. Think of it as an uphill road (positive slope) or a downhill mountain (negative slope.)

A y-intercept is where the line FIRST meets the y-axis (vertical axis).

We don't need to write y = -0.5x + 0 or y = -0.5x - 0. Adding and subtracting zero is the same thing. We don't need to do it at all.

If you need any help with this explanation, let me know in the comments. Math is hard and I'm here to help! Also, Desmos Graphing Calculator is FREE and ONLINE! It graphs your lines for you!

Thanks, human,

- throckmorton