Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.

Answer:

$1,800,000 dollars

Step-by-step explanation:

Given the following question:

10% of 2,000,000

An app brought in $2 million in revenue before giving 10% of that revenue to pay for prizes. We need to find how much revenue did the app earn AFTER the store paid for the reward prizes.

[tex]\frac{10\times2000000}{100} =10\times2000000=20000000\div100=200000[/tex]
10% of 2 million is 200,000.
[tex]2000000-200000=1800000[/tex]

The app earned "$1.8 million" after paying for the reward prizes.

Hope this helps.

Remainder theorem tells about the remainder of division of a polynomial with x - a. The roots of given function are: 1, -1, -3

If there is a polynomial p(x), and a constant number 'a', then

[tex]\dfrac{p(x)}{(x-a)} = g(x) + p(a)[/tex]

where g(x) is a factor of p(x)

For the given case, we've got:

[tex]f(x) = x^3 + 3x^2 -x - 3[/tex]

and

f(1) = 0

Thus, for a = 1, from remainder theorem, we get:

[tex]\dfrac{p(x)}{(x-a)} = g(x) + p(a)\\\\\dfrac{f(x)}{(x-1)} = g(x) + f(1)\\\\\dfrac{x^3 + 3x^2 - x - 3}{(x-1)} = g(x) + 0\\\\ \dfrac{x^2(x+3) -1(x+3)}{x-1} = \dfrac{(x^2-1)(x+3)}{(x-1)} = g(x)\\\\(x+1)(x+3) = g(x)[/tex]

Thus, the other factor of f(x) is g(x) = (x+1)(x+3)

And we have:

[tex]\dfrac{f(x)}{x-1} = g(x)\\\\f(x) = (x+1)(x+3)(x-1)[/tex]

Putting it equal to 0, we get:

[tex]f(x) = 0\\(x+1)(x+3)(x-1) = 0\\x = 1, -1, -3[/tex]

Thus,

The roots of given function are: 1, -1, -3

Learn more about polynomial remainder theorem here:

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Answer:

A

Step-by-step explanation:

got it right on Edge 1943 whilst fighting the German Forces in Northern Italy while my friends were on the beaches of Normandy.

Answer:

x=1.5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

love is = 4, because love + love = 8 meaning its 4+4

heart is = 5, because heart - 4(love) = 1

bird is = 3, because bear is = 9 since 5(heart) + 4(love) is bear, and 3 birds make  a bear.

Answer:

17

8 ÷ 2 = 4. love = 4.

heart - 4 = 1. heart = 5.

love 4 + heart 5 =9. bear =9

9÷3=3. birds = 3.

Answer:

B√134

Step-by-step explanation:

the answer is B(√134)

hope it helps

Answer:

B

Step-by-step explanation:

Answer:

I believe the answer is $27.32

Answer:

The answer would be C. $71,829

Hope this helped :D

The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions thus option (d) is correct.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Gross income = $85,463

Deductions are,

Income will be $896

Exemptions is 2 x $3,650

Charitable donations is $2,145

Exemptions is 2 x $3,650 expenses is $3,473

Add all above the deduction to find out the total deduction,

$896 + $2,145 + $3,473 + 2 x $3,650 = $13,814

Thus, net income will be as by subtraction,

$85,463 - $13,814 = $66,129

Hence "The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions".

For more about subtraction,

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The weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

Given that the average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds, to determine the weight range that contains at least 75% of all residents' annual garbage weights, the following calculation must be performed:

Therefore, the weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

Learn more about averages in https://brainly.com/question/22801800

Answer:

Jack's fathers work is 1350 miles away from home

Step-by-step explanation:

Equation for trip 1:

Usual speed=x

Time=30 minutes

Formula for distance: d=st

d=30x

Equation for trip 2:

Speed= x-30

Time=90 minutes

d=90(x-30)

Now we solve for x using simultaneous equations:

30x=90(x-30)

x=45

Now to find d we sub in our new found value into one of the two equations (it doesn't matter which one)

d=30(45)

d=1350 miles

Answer:

It refers to the result of one or more multiplication.

Answer:

25

Step-by-step explanation:

（2x+15）+x+90=180

3x=75

x=25

Answer:

Tom should use a ladder that is smaller or at the the same height of the window frame. Here it says that he is using a ladder that is taller than the window frame, and this can be very uncomfortable for the person who is using the ladder, so it would be recommendable for Tom to use a smaller ladder, probably a ladder that is only a few inches smaller or taller than the window frame. Using a ladder that is like this should be safe to use.

Step-by-step explanation:

Hope this helps =)

Answer:

x = 7.48

Step-by-step explanation:

You need to use the Pythagorean theorem to solve this problem.

leg^2 + leg^2 = hypotenuse^2

a^2 + b^2 = c^2

5^2 + x^2 = 9^2

25 + x^2 = 81

subtract 25 from both sides.

x^2 = 81 - 25

x^2 = 56

Square root both sides.

x = sqroot(56)

x = 7.48

Answer:

$90.18 dollars

Step-by-step explanation:

Given the following question:
Original cost = $83.50
Sales tax = 8%

In order to find the price paid for the chair, we find 8 percent of the original price. Then we add that number to the $83.50 for the chair and then we will have our answer.

[tex]\frac{8\times83.5}{100} =8\times83.5=668\div100=6.68[/tex]

Sales tax of the chair is $6.68.

[tex]83.50+6.68=90.18[/tex]

Total cost of the chair after an 8 percent sales tax is "$90.18 dollars."

Hope this helps.

Answer:

14.

Step-by-step explanation:

1. RS=RU+US, - US is unknown yet;

2. the property of bisector is:

RU/US=RT/ST;

3. according to the property above:

US=RU*ST/RT; US=12*6/9=8;

4. RS=RU+US; ⇒ RS=6+8=14.

Function

d. 4f(t)

=4(t²+9)

=4t²+36

e. (f(t))²+8

=(t²+9)² + 8

= t⁴+18t²+81+8

= t⁴+18t²+89

Answer:

It is number 3

Step-by-step explanation:

bc i said so

Answer:

6 $1 bills, 5 $5 bills

Step-by-step explanation:

Say the student has x $1 bills.

Then they have 11 - x $5 bills.

31 = 1 * x + (11 - x) * 5 = 55 - 4x

4x = 55 - 31 = 24

x = 6

So, they have 6 $1 bills and 11 - 6 = 5 $5 bills

Answer:

5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1. As you see those are eleven numbers/bills so your answer may be, The student has 5, 5$ bills and 6, 1$ bills. which makes up 31$.

Step-by-step explanation:

Answer: X = -24 Y = 66

Step-by-step explanation:

5(-6) = -30

X = 6 - 30 = -24

Y = 42 + 24 = 66

Hello there, Today we will solve your math problem

[tex]{\huge{\boxed{\mathfrak{{Question}}}}[/tex]

[tex]x+y=42\\x-6=5(-6)[/tex]

________________

First off let's isolate [tex]x[/tex]

after doing that we can substitute [tex]x[/tex] for [tex]-12[/tex]

Here is our equation

[tex]-12+y=4[/tex]

solve for [tex]y[/tex] and we get that [tex]y=16[/tex]

________________

[tex]{\huge{\boxed{\mathfrak{{Answer}}}}[/tex]

Answer:

710

Step-by-step explanation:

1 centimeter = 0.1 mi millimeter so 71 centimeters= 710 millimeters

i'm in k12 and i just took the test too

hope this helps have a good day ^ω^

The length of Kira's skateboard in millimetres is 710 mm

A unit conversion expresses the same property as a different unit of measurement.

Given that, Kira's skateboard is 71 centimetres long.

1 cm = 10 mm

Converting the units,

71 cm = 10×71 = 710 mm

Hence, the length of Kira's skateboard in millimetres is 710 mm

For more references on unit conversion, click;

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Answer:

A farmer keeps a record of the weekly milk yield of his herd of seven cows over a period of six months. He finds that the mean yield is 24 liters. He buys another cow that he is told will produce 28 liters of milk a week. Work out the effect this will have on the mean milk yield of his cows.​

Step-by-step explanation:

Hope it helps<3

Answer:

24.5 liters/week

Step-by-step explanation:

24 liters/week for 7 cows is 168 liters/week

Add 1 cow that produces 28 liters/week

The new total is 196 liters/week for 8 cows

(196 liters/week for 8 cows)/(8 cows) = 24.5 liters/week is the new mean.

Answer: -1

Step-by-step explanation:

Take 2 random coords from the graph to find the slope

(0,4) and (2,2)

(4-2)/(0-2) = -1

Slope

Pick two points on the line

[tex]\tt slope=\dfrac{\Delta Y}{\Delta X}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

point 1: -4,5

point 2: 0,3

[tex]\tt slope=\dfrac{5-3}{-4-0}=\dfrac{2}{-4}=-\dfrac{1}{2}[/tex]

Answer:

There are 18 yellow marbles in the bag.

Step-by-step explanation:

Let total marble be x,

3/5 of x = 27

or, 3x = 135

so, x = 45

Total = 45

Now,

yellow marbles = 45 - 27 = 18

Answer:

18 yellow marbles.

Step-by-step explanation:

2/15

but iam not sure check with other guy

Answer:

yes it is a rational number because the square root of 0.49 is 0.7

Step-by-step explanation:

Hope that helps!

Answer:

A to B = 2000 m/s

C to D = 30,000m/s

Step-by-step explanation:

A to B is 10secs and the distance is 200m so you multiply them and you get 2000m/s

C to D is 60secs and the distance is 500m so you multiply and you get 30,000m/s

Answer:

a to b is 20m/s I'm in k12 and I got the same question but I don't know for c to d yet

Step-by-step explanation:

A =0

B=200

T=10s

200 divided by 10 is 20m/s

and for the question at the bottom, the answer is c bc c to d is accelerating