the graph of y=f(x) is shown below. find all the values of x where f(x)=8

use [tex] a^2-b^2=(a+b)(a-b)[/tex]

to get [tex] (\cos^3A-\sin^3A)(\cos^3A+\sin^3A)[/tex]

then use [tex] a^3+b^3=(a+b)(a^2+b^2-ab)[/tex]

and [tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]

also, [tex] \sin^2\theta+\cos^2\theta=1[/tex]

to get [tex](\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)[/tex]

then again use the first identity In both pairs, i.e.

[tex](\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)[/tex]

to get [tex] \cos 2A (1-\sin^2A\cos^2A)[/tex]

multiply and divide by 4 to get the RHS.

because, [tex] \sin(2A)= 2\sin A \cos A[/tex]

squaring both sides, [tex] \sin^2 (2A)=4\sin^2A\cos^2A[/tex]

Answer:

they take the same form

Step-by-step explanation:

factor (1 - 1/4 sin ^2 (2A) )  (cos ^ 2 (A) -sin ^2(A))

= ( -sin 2A/ 2)  + 1 ) (sin (2A)/ 2) -1

= - (-1 + )  (sin 2A/2)  (1 +) (sin 2A/2) ( cos (A) + sin (A) (cos (A)- sin (A))

= (sin (2A) +sin 2) (sin (2A) -2)/4 = cos ^2(A) = (sin ^2(A)+cos (A) sin (A)) cos ^2(A) +s)

Answer:

57.8

Step-by-step explanation:

We can set up a proportion for this, assuming x is the smokers lost in 365 days.

[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]

Using the cross products property, we know that x will be equal to:

[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]

Hope this helped!

Answer:

The net charge on the four atoms is 12

Step-by-step explanation:

The given parameters are;

The charge of each electron = -1

The charge of each proton = + 1

The charge of each neutron = neutral

Therefore, if 3 electrons are removed  from each of the three atoms, we have;

The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12

Given that the at the four atoms add equal  number of protons and electrons, we have;

Original charge on the four atoms = n×(-1) +  n×(+1) = 0

Therefore;

The net charge on the four atoms after removal of the 12 electrons  = Original charge - (-12)

The net charge on the four atoms = 0 - (-12) = +12

The net charge on the four atoms = +12.

Answer:

C

Step-by-step explanation:

They want to find out altogether and the total number so add it up!

Answer: 72,132,204

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x = 28.3}[/tex]

Step-by-step explanation:

=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]

Cross Multiplying

=> x * 3 = 5 * 17

=> 3x = 85

Dividing both sides by 3

=> x = 85/3

=> x = 28.3 (To nearest tenth)

Answer:

[tex]\Huge \boxed{x=28.3}[/tex]

Step-by-step explanation:

The proportion is given,

[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]

We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.

Multiply both sides of the equation by 5.

[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]

Simplify the equation.

[tex]\displaystyle x=\frac{85}{3}[/tex]

[tex]x=28.33333333...[/tex]

The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).

Answer:

Since it's a 30-60-90 triangle, the hypotenuse should be  

6 √ 3

and the short leg is  

3 √ 3

Step-by-step explanation:

Ratio:

Short side:  1  

Hypotenuse:  2

Long Side:  √ 3

Answer:

errror

Step-by-step explanation:

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

5x - 9 < 91

The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

Thus,

5x - 9 + 9 < 91 + 9

5x < 100

The final step is to perform the division property by dividing both sides by 5, in order to solve for x.

5x/5 < 100/5

x < 20.

Answer:

Hey there!

5300+3500=8800

20000-8800=11200

1.055x=11200

x can be at most 10616 dollars.

Hope this helps :)

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer :

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

    => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

   => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Answer:

1253 in^3

Step-by-step explanation:

The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.

The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3

The total volume is the sum of these two volumes:  1253 in^3

Answer:

1253 in^3

Step-by-step explanation:

Volume of small one is 7*5*5 = 175

Volume of the large one is 11*14*7 = 1078

To find the total volume we add them up. We get 1253 and since we are talking about volume it is 1253 inches cubed

Answer:

[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]

Step-by-step explanation:

Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]

Yan has finished = [tex]\frac{3}{5} * 45[/tex]

=> 3 * 9

=> 27 problems

Yan has problem left:

=> 45 - 27

=> 18 problems

1 problem = [tex]1 \frac{4}{5}[/tex] of a minute

1 problem = 1.2 minutes

18 problems = 1.2 * 18

18 problems = 21.6 minutes

18 problems ≈ 22 minutes

Answer:

[tex]\boxed{\sf 32 \ minutes}[/tex]

Step-by-step explanation:

Yan finished 3/5 of 45 math problems.

[tex]\frac{3}{5} \times 45=27[/tex]

Yan finished 27 math problems.

[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]

Yan has [tex]45-27=18[/tex] problems left.

1 problem = 1.8 minutes

18 problems = [tex]1.8* 18=32.4[/tex] minutes

32.4 minutes to nearest minute will be 32 minutes.

Answer:

36.

Step-by-step explanation:

The perimeter = 2 * length + 2 * width, so we have:

2(2x - 1) + 2(3x + 3) = 114

4x + 6x - 2 + 6 = 114

10x = 114+ 2 - 6 = 110

x = 11.

So the length = 3(11) + 3

= 36.

Answer:

First Answer: y= 64 and x=64

Second Answer: 1&4, 2&3, 6&7, 5&8

Step-by-step explanation:

First Answer: 63 and ∠y is the same measure since there are

Second answer: They are vertical angles, each of the pairs of opposite angles made by two intersecting lines.

Hope this helps:)

if you have 88 tablespoons and you convert them into cups you would have 5.5 then you would convert that into a fraction which would be 5 1/2

Answer:

[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]

Step-by-step explanation:

[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]

We have logarithms in base 2 and 9. Let's rewrite it:

[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]

Remember that:

[tex]\boxed{p\log _bc=\log _b c^p}[/tex]

[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]

Remember the Product Rule:

[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]

[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]

Finally, remember the Quotient Rule:

[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]

[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

━━━━━━━☆☆━━━━━━━

▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\boxed{y = -2}[/tex]

Step-by-step explanation:

Hey there!

To find y when x is -5 we go to -5 on the x-axis.

When at -5 find where the blue line is vertical to -5,

which is -2.

Hope this helps :)

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

Answer:

x = a + 8

Step-by-step explanation:

x = The number that is 40% more than five more than a number a.

x = 40% more than 5 (plus a)

5 * 0.6 = 3

5+3 = 8

x = a + 8

Answer:

Step-by-step explanation:

I think 3-y slope

Hi there! :)

Answer:

[tex]\sqrt{\frac{A}{\pi } } = r[/tex]

Step-by-step explanation:

Formula for the area of a circle:

[tex]A = \pi r^{2}[/tex]

Rearrange the equation in terms of "r":

Divide 'π' from both sides:

[tex]\frac{A}{\pi } = r^{2}[/tex]

Take the square root of both sides:

[tex]\sqrt{\frac{A}{\pi } } = r[/tex]

Answer:

[tex]r = \sqrt{ \frac{A}{ \pi}}[/tex]

Step-by-step explanation:

[tex]A =\pi r^2 \\Divide\: both \:sides\:of\:the\:equation \\\frac{A}{ \pi} =\frac{ \pi r^2}{ \pi} \\r^2 = \frac{A}{ \pi} \\\sqrt{r^2} =\sqrt{ \frac{A}{ \pi}} \\\\r = \sqrt{ \frac{A}{ \pi}}[/tex]

Answer:

v is 9

Step-by-step explanation:

it is 9 because if you simplify it is 8v=72 or 9

Answer:

v = 9

Step-by-step explanation:

3v + 5v = 72

combine like terms

8v = 72

Divide by 8

8v/8 = 72/8

v =9

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]

[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]

Answer:

y=x+2

Step-by-step explanation:

Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2

Answer:

see below

Step-by-step explanation:

will make it simple.

1 unit up : y = |x+2| + 1

1 unit down : y = |x+2| - 1

1 unit to the left : y = |x + 3|

1 unit to the right : y = |x+1|

hope it helps.  if its wrong, then please report it wo we can delete of correct it.

Answer:

[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^4-5x^2-14=0[/tex]

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]u^2-5x-14=0[/tex]

Now we can solve normally. Factor:

[tex](u-7)(u+2)=0[/tex]

Zero Product Property:

[tex]u=7\text{ or } u=-2[/tex]

Back-substitute:

[tex]x^2=7\text{ and } x^2=-2[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]

Therefore, our solutions are:

[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]

Answer:

b

Step-by-step explanation:

The first one is not. Think money. Would you rather be 1 dollar in the hole or 6 dollars in the hole? b = - 1. It is larger than - 6.

The third one is not correct either. -c = - 5

- b = 1

1 is larger than -5

The answer is the middle one

-b becomes 1 which is greater than 0.