Please help me to solve this question.

Answer:

  9

Step-by-step explanation:

Put the given information into the equation and solve for x.

  y = (2/3)x -6

  0 = (2/3)x -6 . . . . . substitute for y

  0 = x - 9 . . . . . . . . multiply by 3/2

  9 = x . . . . . . . . . . . .add 9

The x-coordinate of the x-intercept point is 9.

Answer:

x=9

hope this helps :>

Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

Answer: AI:EF

Step-by-step explanation:

Answer:

D. ) AI:EF

Step-by-step explanation:

PLATO

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

Let us take the 2nd equation.

x + 2z = 4

x = 4 - 2z

Let us substitute this value of x in equation 1.

5x + 2y + z = 4

5(4-2z) + 2y + z = 4

20 - 10z + 2y + z = 4

2y - 9z + 20 = 4

2y = 9z - 16

y = (9z - 16)/2

Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.

2x + y - z = -1

2(4-2z) + (9z-16)/2 + z = -1

8 - 4z + (9z/2) - 8 + z = -1

Let us multiply both sides of this equation by 2.

16 - 8z + 9z - 16 + 2z = -2

3z = -2

z = [tex]\frac{-2}{3}[/tex]

x = 4 - 2z

  = 4 + [tex]\frac{4}{3}[/tex]

  = [tex]\frac{16}{3}[/tex]

y = (9z-16)/2

  = ([tex]\frac{-18}{3}[/tex] - 16)/2

  = ( [tex]\frac{-66}{3}[/tex])/2

  = -22/2

  = -11

Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].

Answer:

The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Option B from the complete Question.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample

n = sample size

Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Hope this Helps!!!

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4

Answer:

The absolute value function that models the path of the ball is

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]

Step-by-step explanation:

Given that the ball rolls without other external influences, we have;

(y - 0) = (x - 15)

The slope, m is give by the relation;

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 0)/(0-20) = -3/4

The equation of the path of the ball in slope and intercept form is presented as follows;

y = m·x + c

15 = -3/4 ×0 + c = 15

c = 15

The absolute value function that models the path of the ball is then;

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The vale of the function when x = 3 is given by the relation

[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]

Therefore, we have the coordinates as  [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].

Answer:

arc m AE = 120

Step-by-step explanation:

∠C = 1/2 (AE-BD)

We can fill most of that in with the info we were given:

36= 1/2(AE-48)

Multiply both sides by 2 to get

72 = AE - 48 so  

AE = 120°

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

hope it will help uh.....

Answer:

A

achievements

Step-by-step explanation:

Answer:

26) translation: (x - 4, y + 3)

27) see down below

Step-by-step explanation:

26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).

27)

<1 = 135

<2 = 45

<3 = 45

<4 = x = 20

<5 = 135

<6 = 45

<8 = 135

Answer:

6[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6[tex]\frac{1}{3}[/tex]

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.

Hope this helps :)

Answer:

A.

Step-by-step explanation:

Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.

Answer:

44%

Step-by-step explanation:

For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.

Answer:

C. Adding 18 to both sides isolates the variable term

Step-by-step explanation:

We can get rid of A and C because we can clearly see that we are adding, not subtracting.

The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8

Answer:

children take 3 pieces of candy are 6

Step-by-step explanation:

x+y=19-1          x+y=18

3x+5y=85-7    3x+5y=78

eliminate x by multiplying the first equation by 3:

3x+3y=54

3x+5y=85   subtract

(3x+3y)-(3x+6y)=54-78

3x-3y-3x-5y=-24

-2y=-24         y=-24/-2=12

y=12 , substitute for y:

x+y=18

x=18-12

x=6

check: 3x+5y=78

3(6)+5(12)=78

18+60=78 correct

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

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The scale factor of the dilation shown in the diagram 2.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

Learn more about the divide visit:

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Answer:1/2

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

Let's find the hypotenuse :

The pythagorian theorem :

Answer:

We can call the numbers x and x + 1. Then we can write:

x + x + 1 = 113 which simplifies to 2x + 1 = 113.

Answer:

Hey there!

The correct answer would be x+x+1=113, or 2x+1=113.

Let the smaller number be x, then the larger number would be x+1

Thus, the sum of x and x+1 would be 2x+1.

We have that 2x+1=113.

Now, this is just a simple linear equation we have to solve.

Start by subtracting 1 to get 2x=112

Then, divide by 2 to get x=56

Since x=56, x+1 would be 57.

Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.

Hope this helps :)

Answer:

x = 4.95

Step-by-step explanation:

4x - 19.8 = 0

4x = 19.8

x = 4.95

Answer:

average speed = 8y/s

Step-by-step explanation:

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s