In each figure, solve for X

Answer: Forget about imaginary roots.

Draw an x axis and a y-axis, at right angles.

Place a dot at y=250.

Place a dot at x=60 and place a dot at x=120.

Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.

In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120.  Continue upward indefinitely. You have created another local min, at about x=90.

The smooth polynomial curve will have a local max at(0,250).

Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.

Step-by-step explanation:

i hope this helps

Answer:

Step-by-step explanation:

A vertical stretch by a factor of 3 of the graph of f(x) will result in:

This gives us:

The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:

g(x) = 3(|x| - 5)

To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.

This will stretch the graph vertically while maintaining the same shape.

Therefore, the function g(x) can be defined as follows:

g(x) = 3(|x| - 5)

This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).

The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.

Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).

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Answer:

15°

Step-by-step explanation:

Answer:

look at the picture .................

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

Answer:

-3 , 0 , 1/3 , 3

Step-by-step explanation:

1/3= 0.3333

Answer:

r = -7

Step-by-step explanation:

Slope = Change in y/Change in x

-1 = r - (-5) / 7 - 5

-1 = r + 5/ 2

-2 = r + 5

r = -7

-Chetan K

Answer:

The slope is 8

Step-by-step explanation:

Answer:

its letter C

Step-by-step explanation:

yan Ang answer for me

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]

[tex]5y = - 3x + 15[/tex]

Now solve for y by dividing each term by 5.

[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]

Now simplify.

[tex]y = \frac{ - 3}{5} x + 3[/tex]

The slope is

[tex] - \frac{3}{5} [/tex]

Answer:

pruduct means multiply so 32.7x0.9=29.43

Answer:

20%=20/100

       =2/10

       =1/5

35%=35/100

      =0.35

Answer:

B. 0

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( − 3 , 0 )

Answer:

36

Step-by-step explanation:

33.33333...% is 1/3 of a number

1/3 of 36 is 12

12(3)=36

Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Answer:

3.45 per pound of peacans

Step-by-step explanation:

we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$

Answer: A( 148 meters )

Answer:

Choice A

Step-by-step explanation:

Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.

DUBS

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Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

Answer:

125 square tiles

Step-by-step explanation:

(800*10)/8^2=8000/64=125

Answer: x-5 / x

Step-by-step explanation:

because…

Answer:

[tex]\frac{x - 5}{x}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]

It can also be written as :-

[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]

[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]

Cancel x + 4 from numerator and denominator.

[tex]=> \frac{x - 5}{x}[/tex]

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

let y and x represent amount of juice and oranges respectively;

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

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Answer:

Step-by-step explanation:

9:15 15:25 6:10

There are 5 ways you could choose the group in tennis.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The total no of students is 16,

As there can be only a maximum of 10 students in a group,

If the student in Swimming is 10 then in Tennis it will be 6,

If the student in Swimming is 9 then in Tennis it will be 7,

If the student in Swimming is 8 then in Tennis it will be 8,

If the student in Swimming is 7 then in Tennis it  will be 9,

If the student in Swimming is 6 then in Tennis it will be 10,

Therefore, there are 5 ways you could choose the group in tennis.

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Answer:

box number 2 is 2. box number 3 is 7. box number 1 is product or sum

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

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Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.

Answer:

total shipping cost

Step-by-step explanation: