What is the quotient of 5x³+2x2-6x-5 divided by x+2?
O 5x²-8x+10+ 25/(x+2)
O 5x²-8x+10-25/(x+2)
O 5x2+12x+18+ 31/(x+2)
O 5x²+12x+18 - 31/(x+2)

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Answer: I am here to help and save the day....

Step-by-step explanation:

I hope I helped have a great day  bye.

The team loses 20 people/audience with each loss.

The slope formula defines to the formula used to calculate the steepness of a line and determines how much it's inclined. To calculate the slope of the lines, the x and y coordinates of the points lying on the line can be used.

The formula to calculate slope is:

m = (y2 - y1)/(x2 - x1) = Δy/Δx

When the team lost eight games, 295 people attended the next game.

When the team lost 13 games, 199 people attended the next game.

Slope = 295-199/8-13

slope=100/-5

slope=-20

Therefore, the team loses 20 people/audience with each loss.

And the attendance loss is 20 times as great as the number of games lost/losses

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Answer:

176$

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To find the width of the rectangle, you must divide the area by the length.

7 and 7/8 divided by 1 and 3/4 = 4 1/2

The width of the rectangle is 4 1/2 or 4.5

check:

4 1/2 x 1 3/4 = 7 7/8

Answer:

4.5

Step-by-step explanation:

First, think back to literal equations in Algebra 1 or 2.

The formula for the area of a rectangle is:

\(a=lw\)

Fill in the variables that we know and solve.

\(7\frac{7}{8} =(1\frac{3}{4})w\)

Divide everything by (1 and 3/4)

\(\frac{\frac{63}{8}}{\frac{7}{4}}=w\)

Simplify:

\(w=\frac{9}{2}=4.5\)

w=4.5

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

x = 5.3

Step-by-step explanation:

Reference angle (θ) = 24°

Opposite side to the reference angle = x

Adjacent side = 12

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 24° = x/12

12*Tan 24° = x

5.34274422 = x

x = 5.3 (approximated to one decimal place)

Answer:

Step-by-step explanation:

Find the coordinates:

Correct choice is A

Answer:

Principal = 20833.334

Step-by-step explanation:

simple interest = $5000.

Rate = 3%

Time = 8 years.

Principal = ?

Principal =

\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)

Principal = $20833.334.

Answer: 100 ft

Step-by-step explanation:

Answer:

  about 17.7 mph

Step-by-step explanation:

You want the value of v that maximizes F(v) = 3600v/(22+0.07v²).

The derivative of F is ...

  \(F'(v)=\dfrac{3600(22+0.07v^2)-3600v(0.14v)}{(22+0.07v^2)^2}\)

The derivative is zero at the maximum. This is the case when the numerator is zero:

  3600(22 +.07v² -.14v²) = 0

  .07v² = 22

  v = √(22/0.07) ≈ 17.728

Flow rate is maximized at a speed of about 17.7 miles per hour.

Answer: The future value of an annuity due with a monthly payment of $300 at 6% interest compounded monthly for 10 years can be calculated using the formula:

FV = PMT * ( ( (1 + r)^n - 1) / r) * (1 + r)

where PMT = $300, r = 6%/12 = 0.05, and n = 10 years * 12 months/year = 120 months.

Substituting these values into the formula, we get:

FV = $300 * ( ( (1 + 0.05)^120 - 1) / 0.05) * (1 + 0.05)

FV = $300 * ( ( 1.05^120 - 1) / 0.05) * 1.05

FV = $300 * ( ( 2.704813829421526 - 1) / 0.05) * 1.05

FV = $300 * ( 1.704813829421526 / 0.05) * 1.05

FV = $300 * 34.09627658843153 * 1.05

FV = $52,113.63

Therefore, the future value of the annuity due is $52,113.63.

Step-by-step explanation:

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

The discounted price is $ 10.2 for veterans and senior citizens.

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Given that:

The price of a pizza is $12.

The pizza shop offers a 15 percent discount for veterans and senior citizens.

Hence,  veterans and senior citizens get discount of = $12 ×15%

= $ 12 × ( 15/100)

= $ 1.8

Hence, the discounted price  for veterans and senior citizens is = $12 - $1.8 = $ 10.2

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Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

120

Step-by-step explanation:

In order to round to the nearest whole number, we need to figure out how to do that first. First, we start with the last number and see if it can round up the number to its left. It can do this if it is 5 or more:

0 ≤ 5, so it cannot round 2 any higher.

2 ≤ 5, so it cannot round 4 any higher.

4 ≤ 5, so it cannot round 0 any higher.

So, in conclusion, we have 120.

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Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

Answer:

the answer is A. x + y = 29, 5x + 2y = 100

Step-by-step explanation:

just finished the question

Answer:

250

Step-by-step explanation:

everything u need is in the picture

Answer:

3h–2(1+4h)

multiple the bracket by –2

3h–2-8h

then subtract the veriables

3h–8h–2

–5h–2

the answer is –5h–2

Answer:

48

Step-by-step explanation:

since you are trying to find the number of pencils altogether, you add 24, 15, and 9. 24+15+9= 48

I hope this helped! :)

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

_____

The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

Answer:

Step-by-step explanation:

Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Expression E = 16T + 18S + 196 represents the combined earning of Todd and Stacy for the week

An algebraic expression is consists of variables, numbers with various mathematical operations,

Given that,

Amount of one hair cut that Todd charges = $16,

And amount of one hair cut that Stacy charges = $18.

Also, this week, Todd make additional amount in tips = $92,

And Stacy made additional amount in tips = 104.

The number of haircuts made by Todd is T,

And the number of haircuts made by Stacy is S.

Amount of T haircut at $16 per haircut = 16T,

And amount of S haircut at $18 per haircut = 18S.

Let the total earning is E,

So the expression of total Earning,

E = 16T + 18S + 92 + 104

E = 16T + 18S + 196

The required expression for combined earnings for the week is E = 16T + 18S + 196.

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