Find an equation of the line with the slope m= 3/2 that passes through the point (8,-3). Write the equation in the form Ax+By = C.

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:

207,503

Step-by-step explanation:

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

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▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

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Answer:

20 and 1/4.

Step-by-step explanation:

9x^2 * y^(-2), for x = -3 and y = 2.

9(-3)^2 * 2^(-2)

= 9 * 9 * (1/4)

= 81 * 1/4

= 81 / 4

= 20.25

= 20 and 1/4.

Hope this helps!

Answer:

Step-by-step explanation:

Let's fill the values in.

9(-3)*2(2)*-2

Using PEMDAS, we would first multiply the two numbers where x and y used to be.

-27 * 4 * -2

Now we would finish multiplying this.

216.

Hope this helps!! <3

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]$\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:

[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:

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.

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:

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:

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

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:

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: [tex]\hat{p}=0.28[/tex]

Step-by-step explanation:

Given : Tonya interviews an SRS of 50 of the 175 students living in the dormitory.

i.e. Sample size : n= 50

Number of students think the dorm food is good: x = 14

Now , the numerical value of the sample proportion p from Tonya's sample:

[tex]\hat{p}=\dfrac{x}{n}[/tex]

[tex]=\dfrac{14}{50}=0.28[/tex]

Hence, the numerical value of the sample proportion p from Tonya's sample is 0.28.

Answer:

Angle MON is equal to 130 degrees.

Step-by-step explanation:

We are told LON is 180 degrees.

Angles LOM and MON are supplementary meaning they add to 180 degrees.

Using this information we know 12x+120=180.

We can use the subtractive property of equality to subtract 120 from both sides.

Do thins we get 12x=60.

Using the division property of equality we can divide both sides by 12 to get x=5.

We can then use the substitution property of equality to get MNO=8(5)+90.

We can then simplify to get MNO=130.

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:

[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:

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:

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:

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:

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:)

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

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:

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.

Answer:

Hey there!

5300+3500=8800

20000-8800=11200

1.055x=11200

x can be at most 10616 dollars.

Hope this helps :)

Answer:

errror

Step-by-step explanation:

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!

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:

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]