(WILL MARK BRAINLIET!!) On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4).
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x =
y =

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Step-by-step explanation:

hope it helps you........

Answer:

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

Answer:

Step-by-step explanation:

85=5x+10

85-10=5x

75/5=x

15=x

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

b^(m-n)

Step-by-step explanation:

Answer:b^m+n

Step-by-step explanation:

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer: The left is 2 and the right 7

Step-by-step explanation: 1 + 14 = 15  

2 + 7 = 9  Hope this helped!!

Answer:

1/3

Step-by-step explanation:

The numbers on a die are 1,2,3,4,5,6

The numbers that are not prime 4,6

P( not prime) = number of numbers that are not prime/ total

                      =2/6  =1/3

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer:

6

Step-by-step explanation:

10x6=60-2=58

Answer:

x = 6

Step-by-step explanation:

[tex]58 = 10x - 2 \\58 + 2 = 10x \\60 = 10x \\6 = x[/tex]

Answer:

620.63

Step-by-step explanation:

use the formula given

r= interest rate

n= numer of times it's compounding in a year

t= time

p= principle amount

[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer: (x-5)(x^2+16)

Given:

The function is:

[tex]f(x)=\sin x[/tex]

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.

To find:

The effect on the graph of the function.

Solution:

The transformation is defined as

[tex]g(x)=kf(x)+b[/tex]                .... (i)

Where, k is stretch factor and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.  

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:

[tex]g(x)=2f(x)+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.

[tex]b=3[/tex], it means the graph is shifted up 3 units.

Therefore, the correct option is D.

Answer:

D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units

Step-by-step explanation:

best of luck to you all~! You are the best <3

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Answer:

I think the answer for this is A.

Step-by-step explanation:

since 25$ is added to get the everyday cost.

Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

Step-by-step explanation:

Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.

[tex]h^2=4^2+3^2[/tex] and

[tex]h^2=16+9[/tex] and

[tex]h^2=25[/tex] so

h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).

Answer:

16√6 is correct

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

If this helps please mark as brainliest

Answer:

144

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

(ab)²

a = 4

b = 3

Step 2: Evaluate

Answer:

Mean=85.5

Median=82

Mode=82

Range=25

Please would you mind marking me as the brainliest:)

Answer:

Mean: 85

Median: 82

Mode: 82

Range: 25

Step-by-step explanation:

The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:

82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684

684/8 = 85.5

So 85 is the mean.

The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:

75, 78, 80, 82, 82, 91, 96, 100

The two numbers in the middle are both 82. So, 82 is the median.

The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.

The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,

100 - 75 = 25

25 is the range.

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.