30 points.

the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?​

Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

Read more about systems of equations at:

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the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

[tex]0.55x[/tex].

The total number of members not wearing glasses, will be

[tex]x - 0.55 x = 0.45 x[/tex].

Now, the no. of members not wearing glasses and in 10th grade will be,

[tex]\frac{0.45x\times30}{100} =0.135x[/tex]

We know that the probability of an event E, P(E) will be,

[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]

So, the probability for no. of members not wearing glasses and in 10th grade will be,

[tex]P(E)=\dfrac{0.135x}{x}[/tex]

[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

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Answer:  The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.

Step-by-step explanation:

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

Answer:

option 1

Step-by-step explanation:

7x + 2 > 58 ( subtract 2 from both sides )

7x > 56 ( divide both sides by 7 )

x > 8

So only values greater than 8 are in the solution set

6 is not greater than 8, then is not in the solution set

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   10x + 36  =   2 • (5x + 18) 

Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:

 5.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

 5.2      Solve  :    5x+18 = 0 

 Subtract  18  from both sides of the equation : 

                      5x = -18

Divide both sides of the equation by 5:

                     x = -18/5 = -3.600

Answer:

[tex]f(x)\div g(x)=x-10[/tex]

Step-by-step explanation:

[tex]\frac{x^2-19x+90}{x-9}[/tex]

[tex]\frac{(x-10)(x-9)}{x-9}[/tex]

[tex]x-10[/tex]

Answer:

[tex]f(x)\div g(x)=-10[/tex]

Step-by-step explanation:

Solve [tex]f(x)[/tex]

[tex]f(x)=x^2-19x+90[/tex]

[tex]x^2-19x+90[/tex]

[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]

[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]

[tex]=x(x-9)[/tex]

[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]

[tex]=-10(x-9)[/tex]

[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]

[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]

Solve [tex]g(x)[/tex]

[tex]g(x)=x-9[/tex]

[tex]\bold{x-9}[/tex]

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

Now, solve:

[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]

[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]

[tex]= -10[/tex]

Therefore, [tex]f(x)\div g(x)=-10[/tex]

Answer: 30000

Step-by-step explanation:

[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]

Answer:

5. 11 1/12 or 133/12

6. 8/15

Step-by-step explanation:

5. make them have a common denominator and then add

6. multiply 2/3 * 4/5

Answer:

I think this is what you want:

2(6)-2x=3

We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.

2(6-x)=3

6-x=3/2

-x=-9/2

x=9/2

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

Answer:

-3; (8, -20)

Step-by-step explanation:

to find the rate of change we do (y2 - y1) / (x2 - x1)

basically we choose 2 points on y and subtract them while using the 2 points on x and subtracting them

after subtracting them we divide change of y by change of x

for this one i chose (3, -5) and (6, -14)

-14 - (-5) = -9

6 - 3 = 3

-9 / 3 = -3

the rate of change is three

to find the y intercept we can use this equation

y = -3x + b

and then plug in things

ill plug in the first set of coordinates

-5 = -3(3) + b

-5 = -9 + b

b = 4

so the y intercept is b

using this equation

y = -3x + 4

we can find out what value y is when the x value is 8

-3(8) + 4 = -20

Answer:

Simple Interest = $542

Compound Interest = $542.88

Step-by-step explanation:

Answer:

example : 100- 27= 73

Step-by-step explanation:

you take a number and then subtract by the number that you were given. I hope this helps!!

Answer:

27 - x (expression that it can be written as)

Answer:

D) Carol scored the highest in math.

Step-by-step explanation:

Look at the chart and check each question.

A) history is her favorite subject - Wrong (This is about Marks Obtained, Not Favorite Subjects!)

B) carol scored more in physics than English - Wrong (In Physics, the score is 55 while in English, it is 65!)

C) Carol got the least marks in history - Wrong (History is at 48 while Biology is at 35!)

D) Carol scored the highest in math - Correct (The highest score is 80 which is Math!)

Answer:

y = 2x

Step-by-step explanation:

A direct proportion follows the equation:

y = kx,'where k is the slope.

We see in the graph the points (0, 0) and (1, 2).

The slope is (2 - 0)/(1 - 0) = 2/1 = 2

The formula is y = 2x.

Answer: y = 2x

Answer:

y=2x

Step-by-step explanation:

When using slope intercept find the  slope using either the graph or points on the line and that get you the 2 that in front of x.

the formula means that 2 units of dough are prepared in every hour

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

you just need to put the values of a and b where they have to be

.

hope I helped!

Answer:

Distributive Property

Step-by-step explanation:

This is my best guess because you didn't put the topic or give an more information.

Step-by-step explanation:

[tex] - 20 \: is \: your \: answer[/tex]

To know the solution with Proof

Refer To the above attachment .

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

Answer:

$14.54

Step-by-step explanation:

We use the equation 32.18-17.64 to find our answer of $14.54