The graph shows a polynomial function. The domain of the function is -4.2 ≤x≤4.7. What is the range of the function?​

Answer:

Step-by-step explanation:

The unit price per ounce of the jar of jam is $0.50

From the question, the given parameters are

Volume = 5 oz

Cost of jam = $2.50

The unit rate of the jam is calculated as

Unit rate = Cost of jam/Volume

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 2.50/5

Evaluate the quotient

So, we have the following equation

Unit rate = 0.5

Hence, the unit price per ounce is $0.50

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The value of y on the number line is 4.

A number line is a series of numbers placed on a straight line in order from least to greatest.

The number line is RT.

The point S is in between RT.

Therefore,

RT = RS + ST

Hence,

RT = 67

RS = 9y + 3

ST = 5y + 8

Therefore,

RT = RS + ST

67 = 9y + 3 + 5y + 8

67 = 9y + 5y + 11

67 = 14y + 11

subtract 11 from both sides of the equation

67 = 14y + 11

67 - 11 = 14y + 11 - 11

56 = 14y

divide both sides by 14

y = 56 / 14

Therefore,

y = 4

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Simply 24/8 to 3.

-12/x = 3
Since x is the number being divided, we take the divisor and divide it by the quotient.

x = -12/3 = -4.

Answer:

280 cm^3

Step-by-step explanation:

formula

1/2 * b * h * l

1/2 * 5 * 8 * 14

1/2 * 560

wikipedia

Answer: m = 5.5

Step-by-step explanation:

9680 / 1760 = m

m = 5.5

Answer:

x = 2.579248

Step-by-step explanation:

x^2 - 9/x + 4 = 3 - (x - 3/x) + 4

a) Multiply both sides by x.

x^3 + 4x - 9/x = 6x + 3

b) Multiply both sides by x.

x^4 + 4x^2 - 9x = 6x^2 + 3x

x^4 + 4x^2 - 9x - (6x^2 + 3x) = 6x^2 + 3x - (6x^2 + 3x)

x^4 - 2x^2 - 12x = 0

x(x^3 - 2x - 12) = 0

x = 0 or x^3 - 2x - 12 = 0

x = 0 or 2.5792479999999998

The vertex and the axis of symmetry are (-2, -6) and x = -2, respectively

The equation of the function is given as

f(x) = x^2 + 4x - 2

The above equation is a quadratic equation

Next, we plot the equation on a graph (see attachment)

The vertex of the graph is the minimum or the maximum of the graph

In this case, we have

Minimum= (-2, -6)

This means that

Vertex = (-2, -6)

The axis of symmetry is the x-coordinates of the vertex

So, we have

x = -2

Hence, the vertex is (-2, -6) and the axis of symmetry is x = -2

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Answer:

{-4, 0, 2, 5}

Step-by-step explanation:

The domain of a relation in a graph is a list of all the x values from the points plotted on it.

Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)

Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)

Good luck on your math journey! ^-^

Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

Answer:

252

Step-by-step explanation:

Altogether, Luis, Dayja, and Michael read 279 pages.

We can get the total number of pages read by each person by building from the number of pages read by Dayja.

Dayja read 84 pages

Luis read 75% more pages than Dayja and this is equal to:

84 + 84 × 75/100

84 + 84 × 0.75

84 + 63

= 147 pages.

Dayja read 75% more pages than Michael.

Believing that Michael read x number of pages.

84 = 175 ÷ 100 × x

8400 = 175x

x = 8400/175

x = 48

So, Michael read 48 pages.

Altogether we will have, 84 + 48 + 147 pages.

= 279 pages.

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Answer: 14.73091

Step-by-step explanation:

The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.

The length and width of the piece of​ metal are 28 and 18 inches respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Dimension of the rectangle;

Width(w)

Length,L= 10 + w

volume of the box = length  * width * height

Dimension of the box;

length of box, (x + 10) - 4  = x + 6

width of box,(x - 4)

height of box =  2

The volume of the box is 672 in³;

⇒V=lwh

⇒V=2 (x -4)( x + 6)

⇒672 in³ = 2x² + 4x - 48

⇒2x² + 4x - 720 = 0

⇒x^2  + 2x - 360 = 0

⇒(x +20)(x - 18) = 0

⇒x = 18

⇒x=-20 (value of the dimension will not be negative.

The width of an original piece of metal is;

Width,w=18 inches

length,l= 28 inches

Hence. the length and width of the piece of​ metal are 28 and 18 inches respectively.

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Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

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

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

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Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

There are a total of 54 men.

Let's take x new men who joined the club, then according to the question (22-x) new women who joined the club.

[(98 × (5 ÷ 5 + 9)) + x ÷ [(98 × (9 ÷ 5 + 9)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[(98 × (5 ÷ 14)) + x ÷ [(98 × (9 ÷ 14)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[35 + x] ÷ [63 + (22 - x)] = 9 ÷ 11

11 × (35 + x) = 9 × (85 - x)

385 + 11x =  765 - 9x

11x + 9x = 765 - 385

20x = 380

x = 19.

Therefore, 19 new members have joined the club.

So, Step 10: 10 + (98 × (5 ÷ 5 + 9)) = 19 + 35 = 54.

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Answer:

19

Step-by-step explanation:

Originally there are 98 members

Ratio of men to women = M:W = M/W = 5/9

The ratio of men to total number of members = M/(M + W) and this should be the same as 5/(5+9) = 5/14

Since 5/14 th of the total membership of 98 members is the number of men,

Actual number of men

= 98 x (5/14)

= 35

After 22 members join the club, the total club membership is 98 + 22 = 120

The new ration M/W = 9/11

Actual number of men members

= 120 x 9/(9+11)

= 120 x 9/20

= 6 x 9

= 54

Increase in the membership of men = 54 - 35 = 19

Answer: this bc well it decimals and those are kinda easy

3.09

Answer: 8x-3

Step-by-step explanation

2x + 6 + 6x - 9

8x - 3

Answer:

8x - 3

Step-by-step explanation:

2(x+3) + 3(2x-3)

2x+6 + 6x-9

2x+6x + 6-9

= 8x - 3

Answer:

Step-by-step explanation:

1630089 is the answer

The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².

It should be noted that the area of a circle is given the formula:

Area of a circle = πr²

where π = 22/7

r = radius = 5 1/4

Therefore, the area will be:

Area = πr²

Area = 22/7 × (5 1/4)²

Area = 22/7 × 25 1/16

Area = 86.625 feet²

The area is 86.625 feet².

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Answer:

1) 14/15

2)23/25

3) 1.33%

Step-by-step explanation:

Answer:

4 kids.

Step-by-step explanation:

There could be 2 boys and 2 girls. Each of the 2 boys has at least one sister, and each of the 2 girls has at least two brothers.

Hope this helps!

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

Answer:

it would cost $285

Step-by-step explanation:

Answer:

285 po answer

Step-by-step explanation:

Pa brainlest po plsss

Answer: 1/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]

Step-by-step explanation:

[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]

The surface area of the sphere to the nearest square foot is 2463 feet.

So, the surface area of the sphere:

Now, substitute the radius in the formula as follows:

Therefore, the surface area of the sphere to the nearest square foot is 2463 feet.

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Answer:

Step-by-step explanation:

20(kids per ride) x 52(number of rides) = 1040. 15(adults per ride) x 52(number of rides) = 780. 1040-780= 260 more kids than adults.

Answer:

Step-by-step explanation:

the answer and steps are down below to check it out have a wonderful wonderful day and  apologize if the answer is wrong