8. Solve for the given variable in the following equations. (4 marks total)

i’m confused on questions C) and D) I put it into Photomath and it came out with a bunch of weird and complicated letters and I’m only in grade 9 so I don’t think that’s the answer.

please solve C) and D) and check if I correctly solved A) and B) THANK YOU

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

Given the table :

X - - - - Y

2 - - - - 10

4 - - - - 9

6 - - - - 8

8 - - - - 7

The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit

y = mx + c

x and y are the variables

m = slope or gradient of the line

c = intercept

The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.

The result obtained from the calculator is:

ŷ = -0.5X + 11

Step-by-step explanation:  y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D

Answer:

hope its helpful to uh.......

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).

The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).

the location of point A after the transformations are complete is (-5, 1)

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Answer:

No, it does not.

Step-by-step explanation:

Immediately from the given equation, we can see that it has a constant (-5).

Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.

Answer:

Option 3

Step-by-step explanation:

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer:

A. 8x² + 2y²

Step-by-step explanation:

There is a formula for the perimeter.

2l + 2w

2(4x²) + 2(y²)

8x² + 2y²

The perimeter of the rectangle is 8x² + 2y².

Answer:

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

The volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.

If the height of the cylinder is 32 inches.

The height of the cylinder and sphere are same.

Then the radius of the sphere will be

r = 32 / 2

r = 16 inches

Then the volume of the sphere will be

V = 4/3 π(16)³ cubic units

V = 5461.3 π cubic inches

Then the correct option is D.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ2

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

[tex]\frac{16}{24} =\frac{12}{x}[/tex]

[tex]\frac{2}{3} =\frac{12}{x}[/tex]

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

Answer:

the answer is 5.

given, 2c-7c+8=-17

or, -5c=-17-5

or, c=-25/-5

therefore the value of c is 5...

Step-by-step explanation:

[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]

Hey there! :)

Answer:

The polygon has 8 sides.

Step-by-step explanation:

Use the sum of interior angles formula to solve.

The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:

135 = (n-2)· 180 / n

Multiply both sides by n:

135n = (n-2) · 180

Distribute the 180:

135n = 180n - 360

Subtract 180n from both sides:

-45n = -360

Divide both sides by -45:

n = 8. The polygon has 8 sides.

Answer:8 sides

Step-by-step explanation:

Answer:

parallelograms

Step-by-step explanation:

It's all about diagonals

Answer:

59

Step-by-step explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

  = - 38.75 + 103.75 - 5.6

  = 59.4

The average number of cars is 59

Answer:

2a). Y= 1. 3= x

2b). Y=4 x= 1

3).

Y= x²+3x-18

For -5

First difference

10

Second difference

-8

For -4

First difference

4

Second difference

-14

For -3

First difference

9-9= 0

Second difference

-18

For -2

First difference

-2

Second difference

-20

For -1

First difference

-2

Second difference

-20

For 0

First difference

0

Second difference

-18

The relation ia a quadratic relation because of the highest Power of x to be 2

Step-by-step explanation:

For

Y=- x+4. Y= 1

Y=x-2. 1= x-2

2y =2. 1+2= x

Y= 1. 3= x

For

Y= x+3. 1= x

Y= 3x+1. Y= 3+1

0= 2x-2. Y= 4

2= 2x

1= x

Y= x²+3x-18

For -5

First difference

25-15= 10

Second difference

10-18= -8

For -4

First difference

16-12= 4

Second difference

4-18= -14

For -3

First difference

9-9= 0

Second difference

0-18 = -18

For -2

First difference

4-6= -2

Second difference

-2-18= -20

For -1

First difference

1-3 = -2

Second difference

-2-18 = -20

For 0

First difference

0+0 = 0

Second difference

0 -18= -18

The relation ia a quadratic relation because of the highest Power of x to be 2

Answer:

  x = 125°

Step-by-step explanation:

The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...

 (180°)(6 -2) = 720°

We can use this to find x.

  x +117° +124° +102° +145° +107° = 720°

  x = 720° -595°

  x = 125°

Answer:

Complementary means they add up to 90, so you want 2 angles that add up to 90...so what do you mean for 93? Are you talking supplementary,(add to 180), because that would be 87.

Answer: no complement

Explanation: To find the complement of a 93 degree angle, we take 90 minus the measure of the angle which in this case is 90° - 93°.

Notice that this gives us a negative angle measure

and since we can't have a negative angle,

we say that the given angle has no complement.

Watch out for negative answers to geometry problems.

Since we're usually talking about angle measures

or segment lengths, negatives will not work.

Answer:

3n +2 -8n

2 - 5n

Step-by-step explanation:

Answer:

He only multiplied the 2 to the first term in the parentheses instead of both terms

Step-by-step explanation:

3n+2(1-4n)

Distribute

3n + 2 -8n

Combine like terms

2 -5n

Samuel made the mistake of incompletely distributing

He only multiplied the 2 to the first term in the parentheses instead of both terms

3n+2(1-4n)

3n +2 -4n

2-n

Answer:

106

Step-by-step explanation:

given: 5t + 76

If t = 6, we substitute t=6 into the equation and solve:

5t + 76

= 5(6) + 76

= 30 + 76

= 106

Hi there! Hopefully this helps!

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Answer: 106.

First, we need to evaluate.

(Note: when a letter and a number are close to together [5t] it means to multiply)

So if "t" = 6 we rewrite the problem like this:

5(6) + 76.

5 x 6 = 30.

Now we rewrite the problem again.

30 + 76 = 106.

Complete Question:

Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?

A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.

B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.

C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.

D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.

Answer:

C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.

Step-by-step explanation:

The median of a box plot is indicated by the line that divides the rectangular box into 2.

Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.

The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.

Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.

This shows 2 data set with the same median can have different variability.

Answer:

1261.68

Step-by-step explanation:

1350 = the increased watch price= 107% of the original

1350= 1.07x

1261.68224299

Check:

7% of 1261.68224299 is 88.317757

1261.68224299 + 88.317757 = 1349.9 = 1350

Round:

1261.68224299  

To the penny= to the hundreth= 1261.68

Answer:

10,000,000,000

hopefully this helped :3

Answer:

C.10,000,000,000

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The range of a function is every valid y value, in this case represented by B

Answer:

-x²+7x+18

Step-by-step explanation:

(x+2) (9-x).

x(9-x)+2(9-x)

9x-x²+ 18-2x

9x-2x-x²+18

7x-x²+18

-x²+7x+18

Answer:

x^2-7x-18

Step-by-step explanation:

Verified Khan Academy Answer

Answer:

I think the answer is B. Let me know if im right

Step-by-step explanation:

l*w*1/2 is the same as 1/2*y*(x2-x1)

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we must use vectors :

Now to calculte the area of this triangle we must apply this relation :

A= (1/2)*║x1y1-x2y2║

|x| < 3 turns into -3 < x < 3

This says that x is between -3 and 3, but cannot equal either endpoint.

The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.

It's the graph below vvv/ Have a good day! xx

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer:

p = 100

Step-by-step explanation:

If Q and T are midpoints, then the triangles URS and UQT are similar triangles and verify the following proportions:

[tex]\frac{QT}{RS} =\frac{UQ}{UR} =\frac{UT}{US} =\frac{1}{2}[/tex]

and all should equal 1/2 because Q and T are midpoints.

Then we study in particular the proportion:

[tex]\frac{QT}{RS} =\frac{1}{2}[/tex]

since we know both segments can be expressed in terms of "p" as indicated in the problem:

[tex]\frac{QT}{RS} =\frac{1}{2}\\\frac{p-87}{p-74} =\frac{1}{2}\\2(p-87)=p-74\\2p-174=p-74\\2p-p=174-74\\p=100[/tex]