Given the linear function f(x) = -4x+8, what is the value of x if f(x) = 24?

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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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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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 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 value of x by setting up equation is 16.

Given in question,

∠VZW = (2x + 32)°

∠RZY = (3x + 16)°

∠VZW = ∠RZY

2x + 32 = 3x + 16

2x - 3x = 16 - 32

        -x = -16

         x = 16

Hence, x = 16.

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Answer:

to find the max number of guests:

25x-400 = 50

25x = 50 + 400

25x + 450

then divide

x = 450/25

x = 18

to find the min number of guests:

25x = 400 - 50

25x = 350

then divide

x = 350/25

x = 14

Minimum number of tables reserved:

is dividing the max/7 per table

x = 18/7

x = 3

Step-by-step explanation:

Answer: [tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]

Step-by-step explanation:

64+Ax+135x^2

135x^2+Ax+64=0

[tex]x_{1,\:2}=\frac{-A\pm \sqrt{A^2-4\cdot \:135\cdot \:64}}{2\cdot \:135}[/tex]

[tex]x_{1,\:2}=\frac{-A\pm \left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]

[tex]x_1=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135},\:x_2=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]

[tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]

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 maximum number of plants Sophie can have in each pot is 18.

Highest Common factor:

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Here it is given that Sophie plants 36 violas, 54 sweet peas, and 72 fuchsias. She wants to plant them in pots.

So we have to find the maximum number of plants she could have in each pot.

For that, we have to find the Highest common factor of the given different-different plant she has.

HCF of 36, 54, 72 = 18

So the maximum number of plants she can pot is 18.

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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:

Step-by-step explanation:

The answer is D.

The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7

Answer:

m=18

Step-by-step explanation:

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 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:

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]

Answer:

abad

Step-by-step explanation:

The function, changes from f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8 when it is dilated, the statementr which best describes the graph is,  the graph is streched towards the x axis by a factor of 1/3

When an object is dilated the image formed is larger or smaller, but there is a difference in the size of the shape.

the rule of function change f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8

3x = 9xk

k = 1/3

Therefore, the function, changes from f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8 when it is dilated, the statement which best describes the graph is,  the graph is streched towards the x axis by a factor of 1/3

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Answer:

Slope:   [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept.

The expression given is already in slope intercept form. In this case [tex]m=\frac{1}{2}[/tex]

Therefore the slope is [tex]\frac{1}{2}[/tex]

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Answer:

Michael has 19 sweets

Step-by-step explanation:

19+24+32 = 75

Lilly has: 24

James has: 32

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

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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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)                  

If the common difference between every term in a sequence is the same, the sequence is arithmetic. If all of the terms in a sequence have the same common ratio, the sequence is geometric.

Take a look at the sequence 2,4,6,8, and note how each new term is created by adding a constant term, in this case 2, to the one before it.

For instance, the number 4 is created by adding 2 to the previous phrase, in this case the number 2.

Similar to how 2 + 4 = 6, another number is obtained by adding 2 to 4.

As a result, the sequence is arithmetic since there is a common difference between the sequences, which in this case is 2.

Take the numbers 3, 6, 12, etc.

Keep in mind that the ratio of the following and preceding terms is the same (6/3=2 and 12/6=2).

Such a sequence is referred to as a geometric sequence, and the constant ratio is known as the common ratio of the sequence and is typically indicated by the symbol r.

What is arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

What is geometric sequence?

Every term in a geometric series is obtained by multiplying the term before it by the same number.

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The option(1) that is  g(1) is 3 is True and remaining are false.

Function of a variable is when a change in one is accompanied by a change in the other. The graph's x-axis denotes the function's domain, and the y-axis its range.

Eight distinct types of regularly used functions correspond to eight distinct types of function graphs. They include linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal function graphs.

we have,

g(x) = f(x - 3)

As graph in question,

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

This option is true.

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Answer:

∠

A

=

x

=

32

∘

∠

B

=

3

x

=

3

⋅

32

=

96

∘

∠

C

=

x

+

20

=

32

+

20

=

52

∘

Step-by-step explanation: Every triangle adds up to 180.

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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The cost for using 24 HCF water is 47.98(in dollars) by using a linear function.

The term linear function in mathematics refers to two distinct but related concepts.

A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. The term affine function is frequently used to distinguish such a linear function from the other concept.

A linear function is a linear map in linear algebra, mathematical analysis, and functional analysis.

The monthly cost of water use is a linear function: y=mx +b, where x represents HCF and y represents the cost of using. For example, if the cost of using x=17 HCF of water is $y=36.43, this means

that is a point (17,36.43)

the cost for using x=28 HCF is $y=54.58, means

that is a point (28, 54.58)

By using the above points we find slope m,

m=((54.58-36.43)/28-17)

m=1.65

=>y=1.65x+b

Now, we have to find the b point by using above point,

36.43=1.65*17+b

36.43=28.05+b

34.63-28.05=b

b=8.38

y=1.65x+8.38

When x=24,

y=1.65(24)+8.38

y=47.98

The cost for using 24 HCF of water is 47.98

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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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