Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2(-x-4)+3=-7-4x[/tex]

First, distribute the left side:

[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]

Add values on the left side:

[tex]2x+11=-7-4x[/tex]

Add 7 to both sides. The right side cancels:

[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]

Divide both sides by -6:

[tex](-6x)/-6=18/-6\\x=-3[/tex]

Therefore, x equals -3.

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]

[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]

[tex]2x + 8 + 3 = - 7 - 4x[/tex]

[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]

MARNIE OUT!

:)

The area of the square is 100 square units because 10×10=100

The radius of a circle is half the length of the square. The radius is 5.

The 2 semi-circles added together actually equals a circle.

The area of a circle is π[tex]r^{2}[/tex].

5=r.

So [tex]5^{2}[/tex] equals 25.

The circle is 25π

So just subtract.

The area of the square with two semi-circles in it is (100 - 25π)

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

Step-by-step explanation:

1) 5(2x + 3) + 3(x -4) = 25

Use distributive property

5*2x + 5 *3 + 3*x - 3*4 = 25

10x + 15 + 3x - 12 = 25

Add like terms

10x + 3x +15 - 12 = 25

13x + 3 = 25

Subtract 3 form both sides

13x = 25 - 3

13x = 22

x = 22/13

x = [tex]1\frac{9}{13}[/tex]

2) Breadth = b m

Length = 5b - 4

Perimeter of rectangle = 40 m

2*(length + breadth) = 40    { Plug in the values of breadth & length}

2* (5b - 4 + b) = 40

2 * ( 6b - 4 ) = 40  

2*6b - 2 *4 = 40

12b - 8 = 40  { add 8 to both sides}

12b - 8 + 8 = 40 + 8

   12b = 48  { divide both sides by 12}

  12b/12 = 48/12

b = 4 m

Breadth = 4m

Length = 5*4 - 4 = 20 - 4 = 16 m        

Answer:

16cm

Step-by-step explanation:

5(2x+3) + 3 (x-4)= 25

10x+15+3x-12=25

(combine the like terms)

13x+3=25

13x= 22

x= 1 and 9/13

perimeter= 40m

length=5a-4

breadth=a

5a-4+a+5a-4+a= 40

12a-4-4 = 40

12a-8=40

12a= 48 a= 4cm

the breadth is 4cm, the length is 5×a-4= 20-4 =16cm

Answer:

296 ounces

Step-by-step explanation:

I used the formula "Multiply the mass value by 16"

Hope this helps:)

Answer:

296 is the total ounces it weighs

Step-by-step explanation:

I hope this helps you

Question wants sum of two functions

g(x) +k(x)

9x^2-5+3x-1

9x^2+3x-6

3(3x^2+x-2)

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

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12

Answer: x - 2 + 5 = x - 12

Step-by-step explanation:

At first I was confused. Then I read the question again and translated it.

Less than translated means - 2.

A number, aka X.

and means plus(+).

when you put that together you get,

x - 2 + 5.

The next step is to translate to second part of the equation.

Is means equals(=).

So far we have: X - 2 + 5 = 12.

This is where I got confused...

After solving that peice, we have the words; " 12 less than the number it's self. I wasn't sure if 2 x's could be in the same equation. Now I know they can.

Above, we established that 'a number' is x.

Now, it's talking about that number again because it says; "The number itself." At first, I thought it was talking about 12 - 12! Then I realized that it's not.

The new equation, after understanding that in the second piece isn't 12 - 12, would be none other than,

x - 2 + 5 = 12 - x

I hope this helps!!

Answer:

Step-by-step explanation:

Twelve less than the one-fifth of a number is-7

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..

Answer:

it should be the second one

Step-by-step explanation:

the only reason i kno this is because one side always has to be white

hope this helps

sorry if its wrong

the last graph i personally think this because of answer i got using desmos when i put in this problem. ( make sure the answer you click matches the last graph on this question i don't want you to get an incorrect answer because you didn't pay attention)  

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

Answer:

250 km per hour

Step-by-step explanation:

In order to find the rate of the first train, we need to know that the distance between Omaha and Reedly is 750 km away and that it will move at 2 pm and arrive at the location at 5 pm. So, first subtract the hours from 5 to 2.  5 - 2 = 3

The train would arrive in 3 hours.. so we substitute 3 into the number of hours.

Distance = 750

km (kilometers per hour) = ?

Hours = 3

Now we should substitute the number values into the equation, it should look like this:  750 = km(3)

3 multiplied by the varible will be 3km because there is no coefficient for km.

750 = 3km

Then, we divide 3 by both sides to make the 3 into a one for km.

750 ÷ 3 = 3km ÷ 3

250 = km

The rate of first train is 165 mph.

We can frame the situation as

                    Distance      Rate      Time

First train                            x        3

Second train                      85        3

Now, using Distance= Speed x  time

                       Distance      Rate      Time

First train               3x           x              3

Second train       255          85            3

So, the equation is

3x+ 255 = 750

3x = 750 -255

3x =495

x= 165

Learn more about Speed distance here:

https://brainly.com/question/12759408

#SPJ1

Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

21.44/2.62 = 8.18

Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important

So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time

Step-by-step explanation:

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

Answer: plz mark as brainliest

Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:

1470 / Divisor = Quotient

To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:

1470 / 1 = 1470

1470 / 2 = 735

1470 / 3 = 490

1470 / 4 = 367.5

etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.

The Divisors of 1470 are as follows:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.

Hey there! I'm happy to help!

Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.

If we look across from angle C, we see that the opposite side is 5.

The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.

So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.

Have a wonderful day! :D

Answer:

0.38

Step-by-step explanation:

took a p e x test

Answer:

7w+5

Step-by-step explanation:

7w, and then the sum indicates an addition sign, so it becomes 7w+5

Answer:

7w+5

Step-by-step explanation:

sum means add

7w+5

Answer: This equation has one solution.

Steps:

2+4(3-4x) = 5x +9

First, we need to distribute to the terms inside the parentheses.

4 * 3 = 12   and   4 * -4= -16x

Our equation now looks like this:

2 + 12 - 16x = 5x + 9

We can now combine like terms. We have 2 like terms that we can combine:

2 + 12 + = 14

Our equation now looks like this:

-16x + 14 = 5x + 9

We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.

-16x + 14 = 5x + 9

-5x          -5x

The fives cancel out. Our equation now looks like this:

-21x + 14 = 9

We can now use inverse operations to get rid of the 14:

-21x + 14 = 9

       - 14  -14

The fourteens cancel out. Our equation now looks like this:

-21x = -5

Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.

-21x/-21 =    and    -5/-21 = 5/21

x is equal to 5/21.

Hope this helps!

Answer:

-5x + -5 + 5x-.1

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

(3/4/1)-1/2

0.75-0.5=0.25

Answer:

5 3/4 divided by 1 1/2 is 3 5/6

Step-by-step explanation:

Answer:

c because it will be half of it meaning you have to multiply rhem

The angle at the center subtend by the chord of the circle will be 50°. Then the correct option is C.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The angle at the periphery is 25°.

Then the angle at the center of the circle will be double of the angle subtend at the periphery.

Central angle = 2 × 25°

Central angle = 50°

The angle at the center subtend by the chord of the circle will be 50°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

Step-by-step explanation:

The shape will be circle, and its area will be πr²

This value is a little over 7 million dollars

======================================================

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

999

why becuase thats the answer mine had

Answer:

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

4u² + 3 = -8u

4u² + 3 + 8u = -8u + 8u       (add 8u both sides)

4u² + 8u + 3 = 0                    simplify

using quadratic equation:

      - 8 ± √ (8² - 4 * 4 *3)

u = ------------------------------

               2 * 4

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Answer:

[tex]\Large \boxed{ \mathrm{377 \ pounds \ per \ square \ inch} }[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds per square inch.

From 12:00 PM to 1:00 PM, the initial pressure increases by 58 pounds per square inch and then decreases 116 pounds per square inch.

⇒   435 + 58 - 116

⇒   377

Answer:

[tex]\huge\boxed{377 \ pounds / in.^2}[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds / in.²

After that it increases by 58 pounds / in.²

So, it became

=> 435 + 58

=> 493 pounds / in.²

Then, it decreases by 116 pounds/square inch

=> 493 - 116

=> 377 pound / in.²

This is the final pressure.

Answer:

X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]  

Step-by-step explanation:

Answer: The third option is true, -8<-4

Step-by-step explanation:

Negative four is greater than negative eight because it is closer to zero on the number line