What are the coordinates of the point on the directed line segment from (-6, -3) to
(5,8) that partitions the segment into a ratio of 6 to 5?

Answer:

10

Step-by-step explanation:

-7y + 35 + 8 = -27

collect like terms

-7y = -27 - 35 - 8

-7y = -70

y= -70/-7

y= 10

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

Answer:

x = 3

Step-by-step explanation:

Multiply x by 8 to get 8x

Multiply 6 by 4 to get 24

Place 8x and 24 into an equation to get 8x = 24

Divide 8x and 24 by 8

The 8 from 8x is canceled out, leaving the answer:

x = 3

Answer:

3.53

Step-by-step explanation:

I checked it using a calculator. :)

Answer:

1 million

Step-by-step explanation: you go from the last number and count the steps like ones, tens, hundreds, and so on

Answer:

Step-by-step explanation:

This is what the graph would look like with the y intercept and the slope (p.s. I used Desmos Graphing calculator)

Answer:

Step-by-step explanation:

Adjacent angles when a line crosses another line must have a sum of 180 degrees.

52+2^(3x+1)=180

2^(3x+1)=128, 128=2^7 so

2^(3x+1)=2^7 which means

3x+1=7

3x=6

x=2

Answer:

The vertex of a parabola is (h,k)

Step-by-step explanation:

The vertex form of a parabola is y=a(x-h)^2+k where a is the stretch/compression factor and (h,k) is the vertex. So to find the vertex, you will need (h,k) which represents the horizontal and vertical shift of the parabola

Answer:

19

Step-by-step explanation:

Answer:

45 cups

Step-by-step explanation:

Answer:

[tex]P(Red) = 0.50[/tex]'

[tex]P(Odd) = 0.50\\[/tex]

Step-by-step explanation:

Given

[tex]Red = 38[/tex]

[tex]Blue = 38[/tex]

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{38}{38+38}[/tex]

[tex]P(Red) = \frac{38}{76}[/tex]

[tex]P(Red) = 0.50[/tex]

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

[tex]P(Odd) = \frac{Odd}{Total}[/tex]

[tex]P(Odd) = \frac{19+19}{38+38}[/tex]

[tex]P(Odd) = \frac{38}{76}[/tex]

[tex]P(Odd) = 0.50\\[/tex]

Answer:

242

Step-by-step explanation:

202+ 40= 242

if my answer helps please mark as brainliest.

Answer:

he is the answer

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

8 ounces

Step-by-step explanation:

Since there was 1 pint left, that means the mug had 1/2 pints of coffee.

Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2

16(1/2)

= 8

So, there were 8 ounces of coffee in the mug

Cars:        1             2              3

Trucks:    4             8             12

1 : 4 = 2 : x

4 · 2 = 1 · x

8 = x

1 : 4 = x : 12

4 · x = 1 · 12

4x = 12

x = 12 ÷ 4

x = 3

9514 1404 393

Answer:

  f⁻¹(x) = log(x)/log(16)

  g⁻¹(x) = (2^x -1)/3

Step-by-step explanation:

In each case, you want to solve ...

  x = f(y)

__

a. x = 4^(2y)

  log(x) = 2y·log(4) . . . . . . . . take logs

  y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y

  f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)

__

b. x = g(y)

  x = log(3y +1)/log(2) . . . . use the change of base relation

  x·log(2) = log(3y +1) . . . . multiply by log(2)

  2^x = 3y +1 . . . . . . . . . . . take antilogs

  2^x -1 = 3y . . . . . . . . . . . subtract 1

  y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y

  g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2

Answer:

C

Step-by-step explanation:

Because I'm smart.

Answer:

[tex]Mean = 68.9[/tex]

[tex]s^2 =18.1[/tex] --- Variance

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]

For 59 - 66

[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]

For 67 - 74

[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]

For 75 - 82

[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]

For 83 - 90

[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]

So, the table becomes:

[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

The mean is then calculated as:

[tex]Mean = \frac{\sum fx}{\sum f}[/tex]

[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]

[tex]Mean = \frac{2547.5}{37}[/tex]

[tex]Mean = 68.9[/tex] -- approximated

Solving (b): The sample variance:

This is calculated as:

[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]

[tex]s^2 =\frac{652.8}{36}[/tex]

[tex]s^2 =18.1[/tex] -- approximated

Answer:

4.5

Step-by-step explanation:

Answer:

10x+30

Step-by-step explanation:

Distributive property is distributing what is in the parentheses.

To do that on this problem you have multiply each of these numbers by 10!

10 times x is 10x

10 times 3 is 30

Put them back together and you get 10x+30!

I hope this helps, and have a great day! :)

P.S. If you need a better explanation I can help. I just didn't want to make this to long.  :D

Answer:

The second one. y = .2x + 1

Step-by-step explanation:

1 = .2*0 + 1

1.4 = .2*2 + 1

And so on

Hope this helps :)

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

Answer:

y = -12x -77

Step-by-step explanation:

-5 - -7/-6 - -7 = -12

slope = -12

y = mx + b

Subsutitue

7 = -12 ⋅ -7 + b

b = -77

good luck, i hope this helps :)

Answer:

Its B.

Step-by-step explanation:

FYI you cannot completely solve the equation because there are variables

(so since we dont know what value the variables are, we cant solve the equation fully) , so the most we could do is simplify the equation.

We have to use the distributive property because there are parenthesis.  

8 x 3x = 24x

and

8 x 2 y = 16y

Now just combine the answers together: 24x + 16y

Hope this helps :)

Answer:

Step-by-step explanation:

f(x) = (x-4)(x+1-6i)(x+1+6i)

= (x-4)((x+1)²-(6i)²)

= (x-4)((x²+2x+1)-(-36))

= (x-4)(x²+2x+37)

= x³-2x²+29x-148

Answer:

15. 12

Step-by-step explanation:

just multiply them

Answer:

the answer is 13 units

Step-by-step explanation:

The selling price should be $88

Given that,

= $55 + (60% of $55)

= $55 + $33

= $88

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Answer:

88

Step-by-step explanation: