Solve 4x - 4 = 8.
O A. x= 1
O B. x= 3
O C. x= -1
O D. x = 2

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

Answer:

22ft/sec

Step-by-step explanation:

proportional rel.

Answer:

her speed was 22ft per second

Answer:

B. x = 14

Step-by-step explanation:

1. Add 9 to both sides of the equation

x - 9+9 = 5+9

x = 14

hope this helps :)

Answer:

  (a) correct

  (b) -48 ft/s

  (c) -32 ft/s; -64 ft/s

  (d) 9.257 s

  (e) -296.216 ft/s

Step-by-step explanation:

You are given an equation of motion and asked to find velocity and time at different points in the motion. This requires you differentiate the position function to find velocity, and that you solve the position function to find the time at a particular position.

__

The coin is "dropped", so is presumed to have no initial velocity. The initial height is given as 1371 feet. Putting these values into the given equation, you have ...

  s(t) = -16t² +1371

The velocity is the derivative of this function:

  v(t) = -32t

__

The average velocity on an interval is the change in position divided by the change in time:

  (s(2) -s(1))/(2 -1) = ((-16·2² +1371) -(-16·1² +1371))/1 = -16(4 -1) = -48 . . . ft/s

(Note: the average velocity for a quadratic position function is the velocity at the midpoint of the interval: v(1.5) = -32(1.5) = -48 . . . ft/s.)

__

Use the velocity function you found in part (a) to determine the instantaneous velocity at the given times:

  v(1) = -32(1) = -32 . . . ft/s

  v(2) = -32(2) = -64 . . . ft/s

__

The coin will reach the ground when s(t) = 0. Solving for t, we find ...

  s(t) = 0

  -16t² +1371 = 0

  1371 = 16t²

  t = √(1371/16) = (√1371)/4 ≈ 9.257 . . . . seconds

__

The velocity at impact will be ...

  v(√1371/4) = -32(√1371/4) = -8√1371 ≈ -296.216 . . . ft/s

Answer:

$800 at 3%, $1,200 at 5%

Step-by-step explanation:

[tex].03x - .05(2000 - x) = 84[/tex]

[tex]100 - .02x = 84[/tex]

[tex].02x = 16[/tex]

[tex]x = 800[/tex]

[tex]2000 - x = 1200[/tex]

Answer:

50%

Step-by-step explanation:

there are 8 students and 4 are shorter than 65 inches.

So 4 divided by 8 = 0.5 or 50%

Answer:

False

Step-by-step explanation:

There's no such thing like that

Answer:

11/12

Step-by-step explanation:

8/12 + 3/12 = 11/12

Answer:

11/12 is the answer

1/4 + 2/3 = 11/12

Answer:

Question 1

The function [tex]f(x) = x + 6[/tex] is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so [tex]f^{-1}(x)=x-6[/tex]

Therefore, g(x) is the inverse of f(x).

Question 2

The function [tex]f(x) = -3x -9[/tex] is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

[tex]\implies y = -3x -9[/tex]

Rearrange the equation to make x the subject:

[tex]\implies y+9= -3x[/tex]

[tex]\implies x=-\dfrac13(y+9)[/tex]

[tex]\implies x=-\dfrac13y-3[/tex]

Replace x with [tex]f^{-1}(x)[/tex] and y with x:

[tex]\implies f^{-1}(x)=-\dfrac13x-3[/tex]

Therefore, g(x) is the inverse of f(x).

Answer:

3/4 x 12/1 because if you can decorate 3/4 a cupcake per minute, you multiply 3/4 by 12 to find the total amount of cupcakes he could decorate. 3/4 x 12/1 = 9 Paul can decorate 9 cupcakes in 12 minutes.

Step-by-step explanation:

hope tis helps im not good at match but i know this

Answer:

he can decorate 9 cupcakes in 12 mn

Step-by-step explanation:

He can decorate 3/4 of a cupcake in 1 minute

Then

He can decorate 12×(3/4) cupcakes in 12 minutes

Or

[tex]12\times\frac{3}{4} =\frac{36}{4} =9[/tex]

then he can decorate 9 cupcakes in 12mn

This is a special triangle.

the two bases are always equal, so a is also 12. To get to the hypotenuse, you must multiply either side by rad2.

a= 12

b= 12rad2

comment if you have any more questions

Answer:

4 Chickens, 3 Oxen

Step-by-step explanation:

Given:

Known:

Solution:

Answer:

x=1 y=2

Step-by-step explanation:

Isolate x for 4x -y=2: X=2+y/4

Substitute x= 2+y/4

(2+y/4 )+3y=7

simplify 2+13y/4=7

Isolate y for 2+13y/4=7

y=2

Forx= 2+y/4

Substitute y = 2

x= 2+2/4

Simplify

X=1

Answer:

a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

Then find the surface area of a cone, remove the circle area and double it.

Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

251.32741 - 50.2 - 50.2

Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734

113.09734 - 50.2 - 50.2

Total: 12.69734 + 150.92741 = 163.62475

If the copy machine prints 175 pages in 5 minutes and the number of pages printed is proportional to the time in minutes , the unit rate is 35 pages per minute.

Division is the process of determining the quotient of a number. It is the process of grouping a number into equal parts using another number.

The unit rate can be determined by dividing 175 by 5

Unit rate = 175/5 = 35 pages per minute.

To learn more about division, please check: https://brainly.com/question/13281206

Answer use div it. Is 35

Step-by-step explanation:

Answer:

C.

Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.

Answer:

Step-by-step explanation:

14⁻³ · 14¹² = 14⁻³ ⁺ ¹² = 14⁹

Used:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

Answer:

Step-by-step explanation:

Answer:

I'm sorry but you will have to add a pic

$912

Here given:

So, simple interest:

Pays back: $900 + $12 = $912 back.

Answer:

$911.84

Step-by-step explanation:

Formula

[tex]\sf A=P\left(1+\dfrac{rt}{n}\right)[/tex]

where:

Given:

[tex]\implies \sf A=900\left(1+\dfrac{0.08 \times 60}{365}\right)[/tex]

[tex]\implies \sf A= \$911.84\: \textsf{(nearest cent)}[/tex]

Answer: 190 m³

Step-by-step explanation:

    We will calculate the volume of the prisms separately, and then add them together.

V = L * W * H

   [1]

V = L * W * H

V = 9 * 2 * 5

V = 90 m³

   [2]

V = L * W * H

V = 5 * 5 * 4

V = 100 m³

   [Adding together]

100 + 90 = 190 m³

               The volume is 190 m³

Answer:

The mean increases and the median changes to 4.

Step-by-step explanation:

To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.

Answer:

5.5 Mean

5 Median

Step-by-step explanation:

6+9+4+3+9+3+5 =5.5

7

Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30

Answer:

approximately 10 times

Step-by-step explanation:

I hope this helps!

It is expected that a vowel will be spun approximately 10 times.

Spinner is divided into 6 equal sectors labeled with the alphabets A to F

We know that, the vowels in english are A, E, I, O, U.

In between A and , there are 2 vowels, A and E.

Probabilty of getting vowel in 1 spin = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] = 0.33

The spinner is spun 30 times.

It is expected that a vowel will be spun =  0.33 × 30 times

                                                                 = 9.9 times = 10 times (approx)

Learn more about Spinner problem here :

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Answer:

1. 30

2. 34

Step-by-step explanation:

2(4(3) + 3)

2(12 + 3)

2(15)

= 30

12(3) - 2

36 - 2

= 34

hope this helps :)

The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

[tex]\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0[/tex]

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

[tex]=\rm \frac{x +2x + 32}{100}[/tex]  

[tex]=\rm \frac{9.88 +2(9.88) + 32}{100}[/tex]

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

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