Mathematics High School

Multiply the polynomials (3y^3 + 2y^2 – 7y) and (2y^2 – 4y + 4).

Answers

Answer 1

Answer:

6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Step-by-step explanation:

Expand the following:

(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)

| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0

| | | | | | 2 y^2 | - | 4 y | + | 4

| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0

| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0

6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0

6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:

Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Related Questions

Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.

Answers

Answer:

son $23.345 creo que si espero que si sea

Solve for x

3x - 10 = -9x + 14

Answers

Answer: X=2

Step-by-step explanation:

3x-10=-9x+14

+9x +9x

12x-10=14

+10 +10

12x=24

24/12=2

So X=2

Answer:

x=2

Step-by-step explanation:

add 10 to both sides

simplify

add 9x to both sides

simplify 3x+9x to 12x

divide both sides by 12

x=2

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee

What is the m< BAD? ( If you are confused look at the picture provided)

Answers

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?
write an equation using x as the variable

plz hurry im being timed

Answers

Answer:

$46.50 = $15+ $5.25x

it will take her 6 weeks

Step-by-step explanation:

she has $15, so that stays the same and the amount she saves each week is multiplied by the number of weeks. then solve the equation to find the value of x or the number of weeks and get 6 weeks

Answer:

6 weeks

Step-by-step explanation:

5.25 times 6 equals 31.5 plus 15 equals 46.50

Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.

Answers

Answer:

The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) [tex]x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0[/tex] Given

2) [tex](x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) [tex](x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) [tex](x+4)^{2}+(y+1)^{2} = 4900[/tex] Square perfect trinomial/Result

According the result, the center of Earth is [tex]C(x,y) = (4, 1)[/tex] and the square of the radius of Earth equals 4900. That is: [tex]r = 70[/tex]

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

[tex](x+4)^{2}+(y+1)^{2}=70.4^{2}[/tex]

[tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex]

Now we transform this into its general form:

1) [tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex] Given

2) [tex]x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16[/tex] Square perfect trinomial

3) [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].

a= 18 in.
C = 82 in.
What is the length of b?

Answers

Answer:

B should equal 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80

45 divided by 8827 please answer soon!!!

Answers

196 i think ??? That shoudl be it

below are two parallel lines with a third line intersecting them

Answers

X = 80
Hope it helps !

If 2x = 10, find the value of 1 - 2x

Answers

Answer:

2x=10

divide by 2

x=5

1-2x

1-2(5)

1-10

answer is -9

Answer:

-9

Step-by-step explanation:

First solve the equation, 2x=10 to get the value of x

2x = 10

x = 10÷ 2

x= 5

now, put this value of x in the expression 1-2x

1 - 2x

= 1- 2(5)

= 1- 10

= -9

Using elimination method.
1:x+y=16
x-y=0

Answers

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

x + y = 16

x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

x + y = 16 ---- (i)

x - y = 0 ------(ii)

Add i and ii:

2x = 16

x = 8

Subtract i and ii;

2y = 16

y = 8

expand (2a +36) (2a-3b

Answers

Use the binomial expansion theorem to find each term. The binomial theorem states
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Tap for more steps...
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please help me solve this!!
5x = 3y + 18
3x + 5y = 4

Answers

Answer:

Slope=

2.000

1.200

=0.600

x−intercept=

=1.33333

y−intercept=

−5

=−0.80000

thats the first one

Step-by-step explanation:

this is a system of equations.

eliminating method:

1) move the 3y to the other side so it looks like the second equation.

5x - 3y = 18
3x + 5y = 4

2) multiply both of the equations by a number to make the equations eliminate one of the variables.

5(5x - 3y = 18) —> 25x - 15y = 90

3(3x + 5y = 4) —> 9x + 15y = 12

3) subtract the two equations (the y’s crossed out) and solve for x:

16x = 78
16x/16 = 78/16
x = 4.875 ≈ 4.9 ≈ 5

4) plug x into one of the two equations (preferably the easier one) to solve for y:

5(4.875) - 3y = 4
24.375 - 3y = 4
-3y = -20.375
-3y/3 = -20.375/-3
y = 6.791667 ≈ 6.8 ≈ 7

answers: x = 4.9 / y = 6.8

What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.

Answers

Answer:

c. A line of credit with a fixed total amount.

Step-by-step explanation:

EDGE 2020

Answer:

C. A line of credit with a fixed total amount.

Step-by-step explanation:

what is 2x+54+4x-6=180

Answers

Answer:

=22

Step-by-step explanation:

Subtract the numbers

2+54+4−6=180

2+48+4=180

Combine like terms

2+48+4=180

6+48=180

Subtract 48 from both sides of the equation

6+48=180

6+48−48=180−48

Simplify

Subtract the numbers

Subtract the numbers again

6=132

Divide both sides of the equation by the same term

6=132

6/6=132/6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=22

Solution

=22

BRAINLIEST PLEASE!

The value of y varies directly with x and y= 125 when x = 25. what is the value of y when x=2?

Answers

Answer:

Y = 10

Step-by-step explanation:

As, Y / X = 125/25

125/25 = 5

Therefore, y = 5x

So when x = 2

Y = 5x

So, Y = 5x2

Therefore, Y = 10

[y] will be equivalent to 10, if [x] is equal to 2

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

y₁/x₁ = y₂/x₂

Given is the value of [y] varies directly with [x] and y = 125 when x = 25.

Using the formula for direct proportionality -

y₁/x₁ = y₂/x₂

125/25 = y₂/2

y₂ = (125 x 2)/25

y₂ = 5 x 2

y₂ = 10

Therefore, [y] will be equivalent to 10, if [x] is equal to 2

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ2

Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?

A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right

Answers

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

A scale factor of 3/4 applied to an object describes

1. an enlargement
2. a reduction
3. no change
4. a rotation

Answers

Answer:

a rotation

Step-by-step explanation:

Find the solution set for this inequality:
-4(3x-5)<2(3x+4)

Answers

Answer: x> 2/3

Step-by-step explanation:

Answer:

x > 2/3 OR (2/3, ∞ )

What is the slope of a line that is parallel to the graph of 2x+3y=5?

Answers

Answer:

2/3

Step-by-step explanation:

I checked on desmos.

Which Is The Correct Classification And Decimal Expansion of 3/8

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

I used a calculator

evaluate the expression when c=5 and d=8. c+7d

Answers

Answer:

C+7d

5+7(8)

5+56=61

Step-by-step explanation:

Answer: 61

Step-by-step explanation:

This is an algebraic equation. You need to replace the variables with their values.

Step 1: Given c=5 and d=8.

5 + 7*8

Step 2: Solve the equation. Following the rules of PEMDAS, first multiply the 7 times the 8. Then, add 5 to that.

7 * 8 = 56

5 + 56 = 61

What is the value of 3 divide 1 1/4 in simplest form

Answers

Answer:

2.4

Step-by-step explanation:

20 characters nsnsjnsjs

9/g + 2h + 5

When g = 3 and h = 6

Answers

The answer fam is............ 20

9 divided by 3 is 3, 2 times 6 = 12

3+12+5=20

Answer:

Answer is 20 The simplified equation is 3+12+5

Step-by-step explanation:

since g =3 and h=6 we get 9/3 + 2(6) + 5 which makes 9/3= 3 and 2(6)=12 so it is simplified to 3+12+5 all added we get 20.

Hope I could Help.

please help me with this.

Answers

Answer:

The answer is c

Step-by-step explanation:

The slope of the equation is

[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]

Let's take a point on the line (x, y)

[tex] \frac{y - 6}{x - 7} = - 2[/tex]

After solving this you can get

[tex]y - 6 = - 2(x - 7)[/tex]

That is the answer

David's favorite snack cake is $0.25 if bought individually , or $1.50 for a box of 10. How much less is the price per cake when bought in a box?

Answers

Answer:

$1.25

Step-by-step explanation:

Subtract $0.25 by $1.50

$1.50-$0.25=$1.25

helppp (picture below)

Answers

Answer:

Rate me 1 star if wrong but its answer A

Step-by-step explanation:

Question 3
Which expression uses the greatest common factor to rewrite 18 + 6?
A
2 (9+3)
B
6 (3+B
С
9 (2) + 3 (2)
D
6 (3) + 2 (3)

Answers

Answer:

6( 3+1)

Step-by-step explanation:

18 + 6

Factor a 6 from each term

6*3 + 6*1

6( 3+1)

Write the expression as a simplified rational expression. Show your work.
(6x+2)/(1/x + 1/(2x+1))
Answer:

Answers

Answer:

4x^2 + 2x

Step-by-step explanation:

(6x+2)/(1/x + 1/(2x+1))= 2(3x + 1)/((2x + 1 + x)/x(2x+1)) =2(3x + 1)x(2x+1)/(3x+1) = 2x(2x + 1) = 4x^2 + 2x

Answer:

4x^2 + 2x

Step-by-step explanation:

i just did this

express 12 1/3 in simplest radical form

Answers

Answer:

37/3

Step-by-step explanation:

Convert mixed numbers to improper fraction :

What is the solution of 34x+2x=44

Answers

Answer:

x=11/9 hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

34x+2x=44

Step 1: Simplify both sides of the equation.

34x+2x=44

(34x+2x)=44(Combine Like Terms)

36x=44

Step 2: Divide both sides by 36.

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