Prove: [tex]\frac{a}{b}[/tex] = \frac{c}{d}[/tex], then[tex]\frac{a+b}{b} = \frac{c+d}{d}[/tex]. show work pls :)

Answer:

C

Step-by-step explanation:

The volume of a box (rectangular prism) is given by:

[tex]\displaystyle V = \ell wh[/tex]

We are given that the desired volume is 540 cubic inches. The width is three inches longer than the length and the height is four inches longer than the length. Substitute:

[tex]\displaystyle (540) = \ell(\ell + 3)(\ell + 4)[/tex]

Solve for the length. Expand:

[tex]\displaystyle \begin{aligned} 540 &= \ell (\ell^2 + 7\ell +12) \\ 540&= \ell ^3 + 7\ell^2 +12\ell \\ \ell^3 + 7\ell ^2 +12\ell -540 &= 0\end{aligned}[/tex]

We cannot solve by grouping, so we can consider using the Rational Root Theorem. Our possible roots are:

±1, ±2, ±3, ±4, ±5, ±6, ±9, ±10, ±12, ±15, ±18, ±20, ±27, ±30, ±36, ±45, ±54, ±60, ±90, ±108, ±135, ±180, ±270, and/or ±540.

(If you are allowed a graphing calculator, this is not necessary.)

Testing values, we see that:

[tex]\displaystyle (6)^3 +7(6)^2 + 12(6) -540 \stackrel{\checkmark}{=} 0[/tex]

Hence, one factor is (x - 6).

By synthetic division (shown below), we can see that:

[tex]\displaystyle \ell^3 + 7\ell^2 +12\ell -540 =(\ell -6)(\ell ^2 + 13\ell +90)[/tex]

The second factor has no real solutions. Hence, our only solution is that l = 6.

In conclusion, our answer is C.

Answer:

6 inches

Step-by-step explanation:

I just took the test

Answer: 2 13/ 15

Step-by-step explanation:

Answer:

ans is 7

Step-by-step explanation:

as we know that angle B and C are equal cause it is an alternative angle so

3x-17=25-3x

so 3x+3x=25+17

6x=42

x=7

Answer:

7

Step-by-step explanation:

The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.

That said, you are 1/3 the way there. Those angles marked must be equal.

3x - 17 = 25 - 3x            Add 3x to both side

3x + 3x - 17 = 25           Combine

6x - 17 = 25                   Add 17 to both sides

6x = 25 + 17                  Combine

6x = 42                         Divide by 6

6x /6 = 42/6

x = 7

Answer: D 19/18

Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.

Answer:

25

Step-by-step explanation:

Answer:

21 answers.

Step-by-step explanation:

First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:

70% = 70/100 = 0.70

Next, multiply 0.70 with the total amount of questions (30):

30 x 0.70 = 21

21 answers must be correct.

Check:

Divide 21 with 30:

21/30 = 0.70 = 70%

~

Answer:

x=3[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180

7x-2+2x+8+3x+14=180

Combine Like Terms: 12x+20=180

12x+20-20=180-20

12x=160

12x/12=160/12

x=13[tex]\frac{1}{3}[/tex]

An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.

A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.

The sum of the measures of the angles around a point is 360 degrees:

Angle AOC + Angle AOB + Angle BOC = 360

Substitute the given expressions for the angle measures:

(7x - 2) + (2x + 8) + (3x + 14) = 360

Combine like terms:

12x + 20 = 360

Now, subtract 20 from both sides:

12x = 340

Finally, divide by 12:

x = 340 / 12

x = 28.33

To know more about value here

https://brainly.com/question/30145972

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Answer:

Your answer is answer no 4 = 7/-8

Answer:

4.

Step-by-step explanation:

7/-8

-7/8 is between -1 and 0.

So, we can eliminate 1 and 3.

We can also get rid of 2 because -7/-8 = 7/8, which is positive.

We are left with 4.

Answer:

f(x) = [tex]-2^{x+1}-1[/tex]

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

    = [tex]-2^{0+1} - 1[/tex]

    = [tex]-2^{1}[/tex] - 1

    = -2 - 1

  y = -3

Got more question or somethin to discuss? Leave comment below

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Answer:

Below

Step-by-step explanation:

To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)

     $45.50 x 1.15 = 52.325

                            = $52.33

Hope this helps!

9514 1404 393

Answer:

  (-4, 8]

Step-by-step explanation:

The vertical extent of the graph is ...

  -4 < y ≤ 8

In interval notation, the range is (-4, 8].

__

Additional comment

There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.

Answer:

A constant or the product of a constant and one or more variables is called a coefficient.

9514 1404 393

Answer:

  x = -1.4

Step-by-step explanation:

  3(x-6) -8x = -2 + 5(2x + 1)

  3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses

  -21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms

  x = -21/15 = -7/5

  x = -1.4

__

Check

  3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x

  3(-7.4) +11.2 = -2 +5(-2.8 +1)

  -22.2 +11.2 = -2 +5(-1.8)

  -11 = -2 -9 . . . . . true

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Answer:

Step-by-step explanation:

width = w

L = 5w - 6

w(5w - 6) = 18

5w^2 - 6w = 18

5w^2 - 6w - 18 = 0

Using the quadratic equation formula

x = 2.58997 and

x = -1.38997   This root cannot be. (No rectangle has a minus length.

w = 2.58997

L = 5*2.58997 - 6

L = 6.94985

w = 2.59

L = 6.95

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

Answer:

The answer is 22,650

So, option b for you

Step-by-step explanation:

To find the sum of even numbers from 2 to 300, the formula we use is,

N ( N + 1 )

Where N is given by,

N = [( first number + last number)/2] - 1

So here, N = [ (2 + 300 ) / 2 ] - 1 = 150

And hence Sum = 150 * 151 = 22650

Answer:

√62 = 8

y = 8

√225 = 15

z = 15

Pythagoras theorem

a^2 + b^2 = c^2

in this case...

y^2 + z^2 = x^2

8^2 + 15^2 = √289

8^2 + 15^2 = 17

x= 17

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Answer:

It’s a rational number

Step-by-step explanation:

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

Answer:

i belive if not mistaken 6

Step-by-step explanatio

Answer and Step-by-step explanation:

I will replicate what you said into an algebraic equation.

Your number will be represented as x.

(3x + 3) - (2x + 1) = 9

Distribute the negative.

3x + 3 - 2x - 1 = 9

Combine like terms.

x + 2 = 9

Subtract both sides of the equation by 2.

x = 7

Your number is 7.

Checking my answer:

(3(7) + 3) - (2(7) + 3) = 9

(21 + 3) - (14 + 3) = 9

24 - 17 = 9

9 = 9 ✓

So, your number is 7.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Answer:

74800 is the amount of $1700 at the rate of 5.5 for 8 yrs

Answer:

900,000

Step-by-step explanation:

rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000

Answer:

C

Step-by-step explanation:

If you add up the length of two sides, the sum must be greater than the third side of the triangle.

If you add 1 and 2, it equals 3

But that means it will be equal to the length of the third side, 3

It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.

It's sort of difficult to explain this without any visual

You can look up "triangle inequality" to find out more about this

Same side interiors(vertical) have sum 180°

From both equations

And