for what value of x does the function have an output of -7, given that g(x)=-3x+8

Answer:

Step-by-step explanation:

First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.

Second, then you have to do 25,000/50

Thirdly, you have to find the awnser

             AWNSER=500

The solution for the linear equation:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

Is x = -5/3

Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

To solve this linear equation, we need to isolate the variable x in one of the sides of the equation

To do so, we move all the terms with "x" to the left side and the terms without to the right side:

x - (2/3)*x - (5/6)*x = 1/3 + 1/2

Now we solve this:

x - (4/6)x - (5/6)x = 2/6 + 3/6

x - (9/6)*x = 5/6

We can write the "1" in the first term as 6/6

(6/6)*x - (9/6)*x = 5/6

(-3/6)*x = 5/6

-3x = 5

x = 5/-3

x = -5/3

That is the solution of the linear equation.

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Answer:

x = 17

Step-by-step explanation:

(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so

5x - 23 + 7x - 1 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

The greatest number of identical goodie bags Carlos can make is 48.

Therefore will be 2 granola bars and 1 popcorn balls in each bag.

From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.

Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.

Therefore, granola bars will be:

= 96/48

= 2 in each bag

Popcorn will be:

= 48/48

= 1 in each bag.

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Answer:

12. [tex]\frac{1}{z^{2} }[/tex]

13. x⁶

Step-by-step explanation:

*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.

Answer:

3.6  cups

Step-by-step explanation:

We have to make a proportion to solve this.

[tex]\frac{2cups}{5 gallons}[/tex] = [tex]\frac{x cups }{9 gallons}[/tex]

9 x 2 = 18

18 / 5 = 3.6.

The outlier of the data is 14.16 gram

An outlier is a data point in statistics that dramatically deviates from other observations. An outlier may reflect measurement variability or it may point to an experimental error; the latter is occasionally removed from the data set. In statistical analyses, an outlier can result in significant issues.

Given:

Weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g.

So, the outlier is

= 13 x 2 + 14 x 4 + 12 x 2 + 11 + 15 x 2+ 13 / 12

= 170 gram /12

= 14.16 gram.

Hence, the outlier of the data is 14.16 gram

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Answer:

$238.26

Step-by-step explanation:

The equation for the red graph is y = f(x/2).

We are given a graph. The graph shows two functions. A function connects an input to an output. It is similar to a machine with input and output. And the result is somehow connected to the input in some way. One of the functions is depicted by black lines. We need to find the equation of the function represented by the red lines.

We can see that the function represented by the red lines can be formed if the black lines are stretched horizontally. The black lines can be stretched horizontally by a factor of 2 to form the red lines. A function y = f(x) can be stretched horizontally by a factor of "k" as given below.

y = f(x/k)

Hence, the equation for the red graph is y = f(x/2).

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Answer:

84unit square

Step-by-step explanation:

how many years do I need the 3

The answer is:  " 84 cm² " ;  or, write as:  " 84 square centimeters."
 ____

Step-by-step explanation:

Note the formula for the area; "A" ; of a parallelogram—as follows:
   A  =  b *  h  ;

  in which:

   A = the Area of this parallelogram given in the attached image;

for which we shall solve;  in units of:  cm²  ;  

             or, write as:  " square centimeters "
        →  {since all the measurements shown in the image are in units of:                

              "cm"  ["centimeters"].}
 ____
   b =  " base length " =  12 cm {as shown in the image};
 ____
   h =  " perpendicular height " = 7 cm {as shown in the image} .
 ____
To find the area;  A :
 We plug our given values into the equation/formula:
     →   A    =     b    *   h   ;
                 =  (12 cm) * (7 cm) ;
                 =   12 * 7 * cm * cm ;
          A    =    84  cm² .
_____________

Note of interest:  The following quadrilaterals are also parallelograms:
   squares, rectangles, and rhombuses [or, "rhombi"].
_____________
The answer is:  " 84 cm² " ;  or, write as:  " 84 square centimeters."

___

Hope this is helpful to you.
Wishing you well in your academic endeavors!

___

Answer:50%

Step-by-step explanation:

The population of the deer in year 2018 would be 11971.

Given,

In the question:

The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018

Model is given as:

P = 2,3201 [tex](1.2)^x[/tex]

Now, According to the question:

The number of years from 2009 to 2018 = 9

Here, the equation that shows the deer population after x years since 2009,

P = 2,3201 [tex](1.2)^x[/tex]

Substitute x=9 in the above equation,

P = 2,3201[tex](1.2)^9[/tex]

P = 2320(5.15978)

P ≈ 11971

Hence,  the population of the deer in year 2018 would be 11971.

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Answer:

$267,273

Step-by-step explanation:

197980 + .35(197980)

197980 + 69293

267273

Answer:

8 inches

Step-by-step explanation:

1 foot is 12 inches

20 - 12 = n

n = 8

Answer:  The correct answer is 8 more inches.

Step-by-step explanation:

The puppys' current height is 12 inches (1 foot)

The vet's advised maximum height is 20 inches

Difference in height = 20 - 12 = 8 inches

The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).

Mara's age is 5 less than four times Brandy's age.   Let x represent Brandy's age, and let y represent Mara's age.

Therefore, the ages can be represented linearly as follows:

y = 4x - 5

where

Therefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:

y = 4x - 5

y = 4(5) - 5

y = 20 - 5

y = 15

The ordered pair is (5, 15)

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Answer:

at least put the possible answers

Answer:

Below

Step-by-step explanation:

m = motorcylce speed

c = car speed = 2m-30

   difference in speeds =   2m-30 - m = m-30

      in two hours this speed accumulates 20 miles (rate * time = distance)

                    2 (m-30) = 20

                     2m - 60 = 20

                         m = 40     then c = 2m-30 = 50    mph

Answer:

the answer will be : 1.13

Answer:

The answer for no 7 is A. 24 in, for no 8 is C. 10 in, for no 9 is D. similar

Step-by-step explanation:

The answer for no 7 can be calculation as follows

Since both rectangles are similar, then the corresponding side are proportional, and it follows

[tex]\frac{\overline{KJ}}{\overline{AB}}=\frac{x}{\overline{AD}}[/tex]

[tex]\frac{48}{144}=\frac{x}{72}[/tex]

Where [tex]x[/tex] is the line segment [tex]\overline{MJ}[/tex]

Multiply both sides by [tex]72[/tex] to isolate [tex]x[/tex]

[tex]\frac{48}{144}\times 72=\frac{x}{72}\times 72[/tex]

[tex]\frac{48\times 72}{144}=x[/tex]

[tex]\frac{3456}{144}=x[/tex]

[tex]24=x[/tex]

Since the value of [tex]x[/tex] is [tex]24[/tex], then the length of [tex]\overline{MJ}[/tex] is [tex]24[/tex] in

The answer for no 8 can be calculation as follows

Since both rectangular frames are similar,  then the corresponding side are proportional, and it follows

[tex]\frac{w_2}{w_1}=\frac{x}{h_1}[/tex]

Where [tex]w_2[/tex] is the width of frame [tex]2[/tex], [tex]w_1[/tex] is the width of frame [tex]1[/tex], [tex]x[/tex] is the height of frame [tex]2[/tex], [tex]h_1[/tex] is the height of frame 1

Substitute [tex]8[/tex] for [tex]w_2[/tex], [tex]12[/tex] for [tex]w_1[/tex], [tex]15[/tex] for [tex]h_1[/tex]

[tex]\frac{8}{12}=\frac{x}{15}[/tex]

Multiply both sides by [tex]15[/tex] to isolate [tex]x[/tex]

[tex]\frac{8}{12}\times 15=\frac{x}{15}\times 15[/tex]

[tex]\frac{8\times 15}{12}=x[/tex]

[tex]\frac{120}{12}=x[/tex]

[tex]10=x[/tex]

Since the value of [tex]x[/tex] is [tex]10[/tex], then the height of  the second rectangular frame is [tex]10[/tex] in

The answer for no 9 can be evaluated as follows

Since two polygons are similar if and only if two conditions are satisfied

Then the two polygons are similar

The length of the other leg of the right triangle is square root of 43

Given:

A leg length = square root of 6

Hypotenuse length = 7

Let the length of the other leg of the right triangle be y

The diagram of the triangle is as shown in the image attached

Using Pythagoras' theorem:

7² = (√6)² + y²

y² = 7² - (√6)²

y² = 49-6

y² = 43

y = √43

Therefore, the other leg is square root of 43.  The 4th option is the angle

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Answer:

D = 43

Step-by-step explanation:

I got it right on my test!

Have a great day everyone:)

The equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

We have given that circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

Since we know that circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units is;

x² + (y - k)² = 6², or,

x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are correct.

Thus, the equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

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Answer:

3

Step-by-step explanation:

y difference is 9 and x difference is 3 so 9/3 = 3

Answer:

slope = 3

Step-by-step explanation:

(2, 7), (5, 16)

(x₁, y₁)  (x₂, y₂)

m = slope

        y₂ - y₁         16 - 7        9

m = ------------ = ----------- = ------- = 3

        x₂ - x₁         5 - 2          3

I hope this helps!

Answer:

9 : 4

Step-by-step explanation:

Ratio:

Find the quantity of yellow and red dye in the mixture.

 Yellow : Red = 9 : 2

 Total share = 9 + 2 = 11

    [tex]\sf \text{Quantiy of yellow} = \dfrac{9}{11}*44[/tex]

                                 = 9 * 4

                                = 36 litres

      [tex]\sf \text{Quantity of Red}= \dfrac{2}{11}*44[/tex]

                                  = 2 * 4

                                  = 8 litres.

Now, 8 litres of red dye is added.

New quantity of red dye = 8 + 8 = 16 liters.

New ratio of Yellow to red = 36 : 16

                                             = (36÷4) : (16÷4)

                                             = 9 : 4

Answer:

y=-3/5x+1

Step-by-step explanation:

we use slope formula y2-y1/x2-x1

4-1/-5-0

3/-5

-3/5

Is the slope

The y intercept is 1

So we write like this

y=-3/5x+1

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The number of people who do not like any of the three colour is 5, using the set theory.

What is Set theory?

A subfield of mathematics called set theory studies sets and their characteristics. Set theory's fundamental ideas are straightforward and seem to stand on their own. The set theory appears to be straightforward, but it is actually a very complex topic. Mathematicians have specifically demonstrated how almost all mathematical ideas and conclusions may be formalized within the theory of sets. This is regarded as one of the pinnacles of contemporary mathematics. Given this accomplishment, it is possible to assert that set theory serves as the foundation for mathematics.

In the given question, we have:

Total number of people in the survey = 25;

Number of people like red = 13;

The number of people who like blue = 8;

The number of people who like yellow = 13;

5 people like both Red & Blue,

4 people like both Blue & yellow,

7 people like both Red & Yellow

2 people like all three colors.

Let n be the number of people who do not like any of the three colour.

Using the concept of set theory, we can write it as:

3 + 4 + 1 + 5 + 2 + 3 + 2 + n = 25;

⇒20 + n = 25;

n = 25 - 20

n = 5;

Hence, The number of people  who do not like any of the three colour is 5;

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Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

As given in the question,

Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:

let us consider slope of perpendicular lines are m₁ and m₂.

Product of the slope of perpendicular lines = -1

⇒ m₁ × m₂ = -1

⇒ m₂ = -1 / m₁

Pair of perpendicular intersect at point ( -3 , -7 ) .

Required equation of perpendicular lines is given by :

For line 1:

( y - (-7)) / ( x - (-3) ) = m₁

⇒ y + 7 = m₁ (x+3)  

For line 2:

( y - (-7)) / ( x - (-3) ) = m₂

⇒ y + 7 =  m₂( x+ 3)

⇒  y + 7 =  -1 / m₁ ( x+ 3)

Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

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Answer:

yes

Step-by-step explanation:

every x value will have at lest one y value