Rewrite each of the following expressions without using absolute value bars. |x-4| if x>4

Answer:

[tex]14 \sqrt{3} [/tex]

Step-by-step explanation:

Here you use the 30-60-90 triangle

Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.

Here, x is the opposite of 60 degree angle.

7 times root of 4 is opposite of the 30 degree angle,

So we have

So this means

[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]

Note that

[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]

So we have

[tex]14 \sqrt{3} = x[/tex]

Answer:

the answer is 30..........

Answer:

The final answer is 16.

Gd luck with your work! :)

Answer:

Step-by-step explanation:

Answer:

1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.

Step-by-step explanation:

Simply check each number of books over the total than see if it matches the percentage assumed.

Fantasy over total books = 15/90 which is 1/6 So that is correct

Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.

Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.

And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.

Hope this helps, and please mark me brainliest!

Answer:

38

Step-by-step explanation:

Here,

Let one of the unknown integer be x whereas the other one be 82 (according to question)

Now,

X+82=120

Or, x=120-82

Or, x=38

Therefore the value of the unknown integer is 38.

Answer:

y = -7x + 36

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Substitue 8 for y1, and 4 for x1, and -7 for m:

y - y1 = m(x - x1)

y - 8 = -7(x - 4)

Solve:

y - 8 = -7(x - 4) <== distribute -7

y - 8 = -7x + 28 <== add 8 to both sides

  + 8         + 8

y = -7x + 36

Therefore, the point-slope of the line is y = -7x + 36

Check your answer using (4, 8):

y = -7x + 36

8 = -7(4) + 36

8 = -28 + 36

8 = 8

This statement is correct

Hope this helps!

Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.

Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.

A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger. 

On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.

Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.

Learn more about accumulated depreciation here:

https://brainly.com/question/9041582

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Answer:

......................

Step-by-step explanation:

Answer: $18

Step-by-step explanation:

60% of original cost means 40% is taken off

40% = 0.4

30 x 0.4 = 12 so that is how much will be taken off

30-12= 18

$18

Answer:

(4,3)

Step-by-step explanation:

Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)

Step-by-step explanation:

[tex]1 - 87 + 23 \\ = - 86 + 23 \\ = - 63 \\ \\ \\ \\ 5 - 700 \div 7 \\ = 5 - 100 \ \\ = - 95[/tex]

hope it helps ..

Answer:

First start with the factors

(3x+5)(3x+5)(6x-1) The multiplicity of 2 means there are 2 of that same factor.

Next, figure out how to get it to go through the point (0,50) Plug in these points, solve for a

50=a(3(0)+5)(3(0)+5)(6(0)-1)

50=a(5)(5)(-1)

50=-25a Divide both sides by -25

-2=a Plug this in

y=-2(3x+5)(3x+5)(6x-1) Now multiply the factors out. Will start by FOILING the first 2 factors

y=-2(9x2+30x+25)(6x-1) Now multiply the remaining factors together

y=-2(54x3+180x2+150x-9x2-30x-25) Combine like terms

y=-2(54x3+171x2+120x-25) Distribute the -2

y=-108x3-342x2-240x+50

[tex]\cfrac{9}{12}\implies \cfrac{1+1+1+1+1+1+1+1+1}{12} \\\\\\ \cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}[/tex]

Answer:

1/4 +1/4 +1/4

or add 1/12 9 times

Step-by-step explanation:

9/12

try to find the greatest common factor of both the numerator and denominator.

(a number that you can divide both the top number and bottom number with)

in this case, the greatest common factor is 3. once you divide the numerator and denominator by 3, it leaves you with a fraction 3/4

you can add 1/4 3 times to get 9/12

1/4 +1/4+1/4

or you could just add 1/12 9 times

Answer:

X can be any of those numbers depending on which equation it is in

Step-by-step explanation:

QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.

A. (-5,9)

B . (1,-7)

C . (8,4)

ANSWER :> A.

(-5,9).

HOPE IT HELPS

THANK ME LATER.

Answer:

3

Step-by-step explanation:

it's basically asking what is the y value that corresponded to x = 2

that value is 3.

Answer:

1,2, and 5

Step-by-step explanation:

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

We have,

The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is served.

Let's analyze each statement:

The volleyball reached its maximum height at 3 seconds.

This statement is correct.

The function h(t) is a quadratic function, and its graph is a parabola that opens downwards.

The vertex of the parabola represents the maximum height of the volleyball.

In this case, the vertex occurs when t = 3 seconds.

The maximum height of the volleyball was 23 feet.

This statement is also correct.

We can see from the function that the maximum height occurs at t = 3 seconds, and substituting t = 3 into the function gives:

h(3) = -2(3 - 3)2 + 23 = 23 feet.

If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.

This statement is incorrect.

To find when the volleyball hits the ground, we need to find when h(t) = 0. Solving -2(t - 3)2 + 23 = 0 gives t = 3 ± √(23/2).

Since the vertex is at t = 3 seconds, the volleyball will hit the ground at the same height it was served, which is h(0) = -2(0 - 3)2 + 23 = 5 feet.

So the time it takes for the volleyball to hit the ground is when h(t) = 0, which occurs at t = 3 ± √(23/2), not 5.5 seconds.

The graph that models the volleyball's height over time is exponential.

This statement is incorrect.

The function h(t) is a quadratic function, not an exponential function.

The volleyball was served from a height of 5 feet.

This statement is also incorrect.

The function h(t) gives the height of the volleyball above the ground, not above the height it was served.

However, we can see from the function that h(0) = -2(0 - 3)2 + 23 = 5 feet, so the volleyball was served from a height of 5 feet above the ground.

Thus,

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

Learn more about functions here:

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Answer:

a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]

b)height = 896.2 feet

Step-by-step explanation:

for b, substitute 20 in place of x in the first equation.

Answer: -6

Step-by-step explanation:

The graph of g is the graph of f translated left 6 units.

Answer:

400ml

Step-by-step explanation:

1 cooler=28L÷7=4L

1L=100ml

4L=400ml(Ans)

Answer:

No real solutions

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given equation:  [tex]6x^2+6x+3=0[/tex]

[tex]\implies a=6, \quad b=6, \quad c=3[/tex]

Inputting these values into the discriminant:

[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]

5 hours

6 times 5 is 30, and if hes not wanting to go over, then it'd be 5 hours for $30

Answer:  b) 160 c) 1500

Step-by-step explanation: b) 50 + 50 + 30 + 30 = 160 c) 50 x 30 = 1500

Step-by-step explanation:

[tex]length \: of \: a \: field \: = 50m[/tex]

[tex]breadth \: of \: a \: field \: = 30m[/tex]

[tex]Perimeter \: of \: a \: field \: = ? [/tex]

We know,

Perimeter ( p ) = 2 ( l + b )

= 2 ( 50m + 30m )

= 2 × 80 m

= 160 m

The length of a wire required to fence it thrice

= 3 × 160 m

= 480 m

Area ( A ) = l × b

= 50 × 30 m

[tex] = {1500m}^{2} [/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

[distance between any successive Crest or trough]

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2[/tex]

The answer to this question is in the picture which is 0.56% to 2dp

Answer:

5.60%

Step-by-step explanation:

We can use the formula for simple interest to solve this problem. The formula is:

[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]

Where:

If $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:

[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]

In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:

[tex]1177.12=\frac{4204*5*r}{100}[/tex]

Doing Criss cross multiplication

[tex]r=\frac{1177.12*100}{4204*5}[/tex]

r=5.60 %

To two decimal places, the interest rate r is 5.60 %.

Answer:

28 square inches

Step-by-step explanation:

There will be 4 sectors in a circle each having 90° central angle.

-> Area of circle = 4*Area of sector of circle having central angle 90°

= 4*7

= 28 sq inches

Answer:

  (d)  see attached

Step-by-step explanation:

A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.

  a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)

  b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)

  c) 1 - 0 ≠ 0 - 1 . . . . not linear

  d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function

Letter D. A linear function.

Step-by-step explanation:

# Brainliest Bunch

Answer:

6/8 and 12/16

Step-by-step explanation:

This is because 3/4 x 2/2 = 6/8 and 3/4 x 4/4 = 12/16

Answer:

6/8 and 9/12 are both equal to 3/4

Step-by-step explanation:

You can't simplify but you can make it bigger.

3/4 x 2/2 = 6/8

and

3/4 x 3/3 = 9/12

it should be correct because 3/3 and 2/2 are both equal to 1 which is why they are equivalent.