Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.

Answer:

The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

I know this might be difficult to follow, so please comment if you have any questions.

Answer:

x=2

Step-by-step explanation:

2x+x+3=9

2x+x=9-3

3x=9-3

3x=6

x=2

Answer:

a) 2x + 3 = -x + 9

or, 3x = 6

# x = 2 since there is no y in the equation the value of y could be 0.

b) it intersects at ( 2, 0 )

Step-by-step explanation:

Answer:

Line FH is the same as FK

Step-by-step explanation:

The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.

Answer:

line fh is the same as fk

Answer:

D

Step-by-step explanation:

The m=3/4 when graph

Answer:

c

Step-by-step explanation:

2 is the exponent and 14 is the number so, its 14^2

14x14=14^2

Answer:

14²

Step-by-step explanation:hope this helps

14*14=196

14²=14*14=196

Answer:

c would be the right and its the best answer

Answer:

26.

Step-by-step explanation:

Pretty self-explanatory.

Answer:

????

Step-by-step explanation:

Answer:

(1,-3)

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

the solution is where the two lines intersect. the point of intersection is (1,3). the x corrdinate in (1,3) is 1:)

Answer:

The answer is -4/21

Step-by-step explanation:

Answer:

60 years

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

Answer:

x = - 3

Step-by-step explanation:

2x - 10 + 6 = 7x - 7 - 2x + 12

2x - 4 = 5x + 5

- 5 - 4 = 5x - 2x

-9 = 3x

x = - 9/3

x = - 3

Answer:

C. 171.36....... :)).......

Answer:

See the picture below

Step-by-step explanation:

Answer:

yo no hablo english  sorry

Step-by-step explanation:

Answer:

y=6x+5  →equation 1

y=4x+5 → equation 2

you can either substitute equation 1 in 2 or equation 2 in 1

substituting equation 1 in 2,

y = 4x + 5

6x + 5 = 4x + 5

6x - 4x = 5 - 5

2x = 0

x = 0/2

x = 0

substituting x = 0 in equation 1, (to get y)

y = 6x + 5

y = 6(0) + 5

y = 0 + 5

y = 5

hope it helps you!!

Answer:

Fraction:

[tex]x=-\frac{7}{2}[/tex]

Decimal:

[tex]x=-3.5[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the picture below.

Hope this helps! :)

Answer:

x= 7/6

Step-by-step explanation:

collect the like terms. so in this problem -4x and -8x are like terms.

you'll then have -12x = -8 - 6

calculate the difference of -8 and 6

you'll then have -12x = -14

you then divide the both sides by -12

getting the solution: x= 7/6

Answer:

[tex]m=4473-55h[/tex]

Step-by-step explanation:

Step one

Given data

speed= 55 miles per hour

time taken = 2 hours

Hence the distance covered is

from v=d/t

distance= velocity * time

distance= 55*2

distance= 110 miles

this means that the initial reading of the odometer is

=4583-110

=4473 miles

after h hours the distance covered will be

distance = 55*h

distance= 55h

the reading of the odometer m is

m= initial reading-distance

Hence the reading of the odometer m is expressed as

[tex]m=4473-55h[/tex]

Answer:

Correct

m=55h+4473

Step-by-step explanation:

i got it right :-)

Answer:

If they work together, they will take 6.16 days.

Step-by-step explanation:

Elsa takes 14 days to complete the work.

So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]

Anna takes 11 days to complete the work.

So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].

So, Let if they work together, it would take x number of days.

So, we can set up equation as

[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]

Find LCD, which is 154.

[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]

Simplify

[tex]\frac{25}{154} =\frac{1}{x}[/tex]

Cross multiply,

25x=154

Divide both sides by 25

x=6.16 days

If they work together, they will take 6.16 days.

Answer:$7.75

Step-by-step explanation:

Answer:

would not be helpful to anser nowww... sory!

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

2/2 = 1

26/2 = 13

10 x 13 = 130

hope this helps plz mark me brainliest =)))))))

Answer: 130

Step-by-step explanation:

Ten is the half of 20

So it must be the same thing on the other side. So it is 130

Pls mark me brainliest