The first container has 3 gallons 3 quarts 1 pint of diesel fuel, the second container has 5 gallons 2 quarts of diesel fuel, and the third container has 6 gallons 1 quart 1 pint of diesel fuel. what is the total quantity of diesel fuel?

A function rule for the table:  f(x) = 2x

In this question, we have been given a table.

We need to write  a function rule for the table.

x         ƒ(x)

-3        -6

-2       -4

-1        -2

0         0

We can observe that f(x) = 2x

Therefore, a function rule for the table:  f(x) = 2x

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The equation of the absolute value function graph is: y = |x - 3| + 5.

The equation, y = a|x – h| + k, represents the equation of an absolute value function in the vertex form, where:

We are given the following from the graph:

Vertex (h, k) = (3, 5)

Plug in the values of h and k into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (5, 7). Find the value of a by substituting (x, y) = (5, 7) into y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = a|2| + 5

7 = 2a + 5

7 - 5 = 2a

2 = 2a

2/2 = 2a/2

1 = a

a = 1

Write the equation of the absolute function graph by substituting a = 1 into y = a|x - 3| + 5:

y = |x - 3| + 5

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The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.

The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.

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Answer:

x=35

Step-by-step explanation:

29+6=35

btw are you sure that you are in highschool???

Answer:

35

Step-by-step explanation:

29+6 is 35 u sure in high school?

Answer:

Step-by-step explanation:

-22.7

Answer: 21 Tomatoes

Step-by-step explanation:

5 + 2 = 7

147 / 7 = 21

21 Tomatoes

Answer:

hey I need this answer and puzzle 4 and 5 you got these things?

Step-by-step explanation:

please

The measure of angles A, B , C and D°are 36°, 63°, 71° and 111° respectively

To find the measure of angles of A, B, C and D, you need to apply some of the angle geometry concepts as follows:

1. m<A

(x+24)° and A = 3x

Since alternate angles are equal, thus:

3x° = (x+24)°

3x -x = 24

2x = 24

x =24/2 = 12

Also, A = 3x = 3(12) = 36°

2. m<B

B = 10x-27 and 7x

Since corresponding angles are equal, thus:

10x -27 = 7x

10x -7x = 27

3x = 27

x = 27/3 = 9

Also, B = 10x -27 = 10(9) -27 = 90-27 = 63°

3. m<C

C = (5x+1)° and (6x-13)°

Since corresponding angles are equal, thus:

(5x+1)° =  (6x-13)°

6x -5x = 13+1

x = 14

Also, C = 5x+1  = 5(14) + 1 = 70+1 = 71°

4. m<D

(6x+3)° and D = (4x+39)°

Since alternate angles are equal, thus:

6x+3 = 4x+39

6x-4x = 39-3

2x=36

x = 36/2 =18

Also, D = 4x+39 = 4(18) + 39 = 72+39 = 111°

Therefore, the m<A = 36°, m<B = 63°, m<C = 71° and m<D =111°. Since B, A,  H and E correspond to m<A, m<B, m<C and m<D respectively, so type BAHE in the answer box

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The probability for Jacie or Robyn would consume cheese on a random day is 0.15.

The likelihood of Jacie eating cheese on any particular day is 0.6.

The likelihood of Robyn eating cheese on any particular day is 0.25.

Both events are independent.

As a result, the probability for Jacie or Robyn would consume cheese on a random day is;

P(Jacie or Robyn)  = P(Jacie). P(Robyn)

P(Jacie or Robyn)  = 0.6 x 0.25

P(Jacie or Robyn)  = 0.15

Thus, the probability for Jacie or Robyn would consume cheese on a random day is 0.15.

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Answer:

(-3,1)  & (3, -1)

Step-by-step explanation:

Solving quadratic equation and linear equation:

2x² + y² = 19 -----------------(I)

x + 3y = 0 -----------------(II)

         x = -3y --------------(III)

Substitute x = -3y in equation (I) and we can find the value of y.

2(-3y)² + y² = 19

2*9y² + y²  = 19

  18y² + y² = 19

Combine like terms,

          19y² = 19

             y² = 19 ÷ 19

              y² = 1

              y = √1

              y = ±1

Substitute y = ±1 in equation (III) and find the value of x.

When y = 1,

              x = -3*1

              x = -3

When y = -1,

               x = -3*(-1)

             x = 3

Solutions:  (-3, 1) ; (3, -1)                  

Answer:

x = 9

Step-by-step explanation:

According to the question,

Perimeter of an isosceles triangle = 37

Length of the base = x

Length of one leg = 4x - 4

As it is an isosceles triangle so length of the other leg will also be 4x - 4.

Perimeter of triangle is equal to sum of all the lengths of the triangle.

[tex] \therefore [/tex]

[tex] \rm \implies Length \: of \: base + Length \: of \: one \: leg + Length \: of \: other \: leg = 37

\\ \\ \rm \implies x + 4x - 4 + 4x - 4 = 37

\\ \\ \rm \implies 9x - 8 = 37 \\ \\ \rm \implies 9x = 37 + 8 \\ \\ \rm \implies 9x = 45 \\ \\ \rm \implies x = \frac{45}{9} \\ \\ \rm \implies x = 5

[/tex]

The percentage increase in the number of pieces she saws on that day is 40%.

Here it is given that a seamstress sews 55 pieces per day.

But on a certain day, 77 pieces were sewn.

We have to find the percentage increase in the number of pieces she sews on that day.

So first we have to find the increase in the number of pieces she sews.

Increase in the number = 77 - 55

                                       = 22

The original number per day = 55

Formula to find the percentage increase in the number.

Percentage increase = Increase in number/ original number × 100

Now putting the values in the equation:

Percentage increase = 22 / 55 × 100

                                   = 2/5 × 100

                                   = 40%

Therefore there is a 40% increase in the number of pieces.

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Answer:

B. 35

Step-by-step explanation:

Because lines m and n are parallel, we know that x+(4x+5)=180.

So all you have to do is simplify.

x+(4x+5)=180

5x+5=180

5x=175

x=35

So the only possible value of x is 35

If n is negative the value of the equation that we have below would be -18

We have to rewrite the equation in a way that it would be easier to understand first.

[tex]\frac{-2n+8}{4} =11[/tex]

Next we would have to cross multiply

this would give us

-2n + 8 = 11 * 4

-2n + 8 = 44

take the like terms

-2n = 44 - 8

-2n = 36

divide through by -2 from the above

-2n / -2 = 36 / -2

n = - 18

Therefore given that we have that the value of the equation after n is negative is -18.

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The positive slope is tilted towards the right on a coordinate plane and the negative slope is tilted towards the left on the coordinate plane.

When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well. A line on a line graph that has a positive slope rises as the line advances from left to right.

A line that slopes downward from left to right is said to have a negative slope. In other words, the rise-to-run ratio of the line is negative.

The graph of the two real-life situations is attached with the answer below. In which the equation y = 4x means that the value of y is increasing by 4. Similarly, the equation for negative slope is y = -4x means that the value of y is increasing in opposite direction by factor 4.

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Answer is :

The chosen at random is 25 - 44 years old is  = 26 %.  

Probability determines how likely it is that a stated event would

occur. This event would occur. This probability lies between 0 and 1.

The probability that a person chosen at random is at least

15 years = sum of percentages of people at least 15 years old :

14 + 13 + 13 + 15 + 12 + 13 = 80%

the probability that a person chosen at random is 25 - 44 years old :

13% + 13% = 26%

Therefore The probability is 26%.

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The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant

The x axis represents the rainfall during the growing season and y axis represents the seasonal growth of a type of plant.

The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm.

8 represent the x axis measurement and 6 represent the y axis measurements

When the plant grew 12 mm in one season, there were 16 mm rainfall

Hence, the point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall

The complete question is:

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point ​(​8,6​) ​represent? If the plants grew 12 mm one​ season, how much rain​ fell?

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Answer:

abad

Step-by-step explanation:

The required question based on number of posters is y = 109.95 + 65x.

The cost of additional posters = 65x, based on the mentioned information.The 100 posters make 1 set. Assuming the total number of posters be x. So, the additional sets will be calculated by the formula = (x - 100)/100.

Now, the equation will be the sum of the cost of first 100 posters and the cost of remaining posters.

y = 109.95 + 65x

Thus, the equation with the total cost (in dollars) as a function of the number (in hundreds) of posters ordered is y = 109.95 + 65x.

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Kevin favorite lemonade juice can't taste the same as Patricia's.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

1 table spoon = 0.5 ounce

Therefore, 24 ounces will be:

= 24 × 0.5

= 12 tablespoon

In this case, they have different tablespoon and therefore won't have same taste.

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Answer:

[19+7] / [2 x 6 + 1]

Step-by-step explanation:

[19+7] / [2 x 6 + 1]

[26] / [13]

[2]

Answer:

5/12

6/15

10/18

Step-by-step explanation:

Answer:

scale factor = 2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , polygon B to polygon A

in figure A the vertical side RS = 2 units

the corresponding vertical height in figure B = 4 units , then

scale factor = [tex]\frac{4}{2}[/tex] = 2

Answer:

Range:  [tex]\text{y} \ge 0[/tex]

Domain: [tex]\text{x} \ge 0[/tex]

Both involve "greater than or equal to 0".

==============================================

Explanation:

The domain is the set of allowed inputs (x). The smallest input allowed in this case is x = 0, as it corresponds to the left-most point (0,0) on the blue graph. There is no largest x value since it stretches forever to the right.

Either x = 0 or x > 0 which condenses to [tex]\text{x} \ge 0[/tex] and this is the domain as an inequality.

--------

The range will have us look at the possible y values or possible outputs. We have y = 0 as the smallest output possible, which corresponds to the lowest point (0,0).

There is no largest y value since the blue graph goes forever upward.

Either y = 0 or y > 0 to give us the range of [tex]\text{y} \ge 0[/tex]

Answer: y=2x+1

Hope this helps

The slope-Intercept form of the given line is y=1.5x.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The given line passes through (4, -2) and (2, 3). Therefore, the slope of the given line can be written as,

Slope of the line, m = (-2 - 3)/(4 - 2)

                                = 3 / 2

                                = 1.5

Now, the equation of the line passing through (2, 3) can be written as,

y = mx + c

(3) = 1.5(2) + C

3 = 3 + C

3 - 3 = C

C = 0

Substitute all the value in the equation of the line,

y = m(x) + c

y = 1.5(x) + 0

y = 1.5x

Hence, the equation of the given line is y=1.5x .

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Answer:

Michael has 19 sweets

Step-by-step explanation:

19+24+32 = 75

Lilly has: 24

James has: 32

5 days does it take to sell 640 cupcakes.

Given:

A bakery sells 4 dozen cupcakes every 3 hours.

If the bakery is open 8 hours each day.

4 dozen cupcakes = 4*12 cupcakes

= 48 cupcakes

48 cupcakes = 3 hours

divide by 3 on both sides

3hours/3 = 48/3 cupcakes

1 hour = 16 cupcakes

Number of cupcakes for 8 hours = 8 * 16 = 128 cupcakes.

128 cupcakes sells in one day.

To sell 640 cupcakes = 640/128

= 5 days.

Therefore 5 days does it take to sell 640 cupcakes.

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Answer:

m=18

Step-by-step explanation: