What is the solution set for 2x^2+15=-11x

Answer:

Question 1

Given expression:

[tex]-2x^3 (4x^3+5x^6)[/tex]

Apply the distributive law [tex]a(b+c)=ab+ac[/tex]:

[tex]\implies -2x^3 \cdot4x^3+-2x^3 \cdot 5x^6[/tex]

Multiply the numbers:

[tex]\implies -8x^3 x^3-10x^3 x^6[/tex]

Apply exponent rule  [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies -8x^6-10x^9[/tex]

In standard form we write it in order from the greatest degree:

[tex]\implies -10x^9-8x^6[/tex]

Therefore, as the polynomial is degree 9, it is a nonic polynomial.

End behaviors

As the leading coefficient is negative and the leading degree is odd:

[tex]f(x) \rightarrow + \infty \textsf{, as } x \rightarrow - \infty[/tex]

[tex]f(x) \rightarrow - \infty \textsf{, as } x \rightarrow + \infty[/tex]

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Question 2

Factor the given function to find the zeros

Given function:

[tex]f(x) =x^3+15x^2 +63x+49[/tex]

[tex]f(-1) =(-1)^3+15(-1)^2 +63(-1)+49=0[/tex]

Therefore [tex](x+1)[/tex] is a factor of the function

[tex]\implies x^3+15x^2 +63x+49=(x+1)(x^2+bx+49)[/tex]

                                         [tex]=x^3+(b+1)x^2+(b+49)x+49[/tex]

Comparing coefficients ⇒ b = 14

[tex]\implies x^3+15x^2 +63x+49=(x+1)(x^2+14x+49)[/tex]

Factoring [tex](x^2+14x+49)[/tex]:

[tex]\implies (x^2+14x+49)=(x+7)(x+7)=(x+7)^2[/tex]

Therefore,

[tex]f(x)=(x+1)(x+7)^2[/tex]

To find the zeros, equate to the function zero:

[tex](x+1)(x+7)^2=0[/tex]

Therefore,

[tex]x+1=0 \implies x=-1 \textsf{ with multiplicity 1}[/tex]

[tex]x+7=0 \implies x=-7\textsf{ with multiplicity 2}[/tex]

[tex]9m+2 \\ -(3m+8) \\ - - - - - \\ 6m - 6 \\ - - - - - [/tex]

Solution :-

[tex]9m + 2 - (3m + 8) \\ 9m + 2 - 3m - 8 \\ m(9 - 3) + (2 - 8) \\ 6m - 6[/tex]

Answer:

6m - 6

Step-by-step explanation:

9m + 2 - (3m + 8) = 9m + 2 -3m -8

= 9m - 3m + 2 - 8

= 6m - 6

when you open the brackets, -(+3m) = -3m because when a positive sign times a negative sign, you get a negative sign. so, same thing for -(+8) = -8

The expression that is equivalent to [tex](3a)^{-2}[/tex] is [tex]\frac{1}{9a^{2} }[/tex].

Given expression is [tex](3a)^{-2}[/tex]

[tex]a^{-n} =\frac{1}{a^{n} }[/tex]

So, the given expression [tex](3a)^{-2}[/tex]can be written as [tex]\frac{1}{(3a)^{2} }[/tex]

[tex]\frac{1}{(3a)^{2} }= \frac{1}{3a*3a} =\frac{1}{9a^{2} }[/tex]

Therefore, the expression that is equivalent to [tex](3a)^{-2}[/tex] is [tex]\frac{1}{9a^{2} }[/tex].

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Answer:

A

Step-by-step explanation:

StartFraction 1 Over 9 a squared EndFraction or 1/9a^2 looks something like that :) hopefully it helps

Answer:

a parallelogram

i think i spelled that right lol

Step-by-step explanation:

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2m = 13 - 5

2m = 8

m = 8/2

m = 4

pfft that was easy

Answer:

x = 4

Step-by-step explanation:

[tex]2x - 3y = - 1 \: \: \: \: \: ...(*)\\ y = 3[/tex]

Substitute y = 3 into (*).

[tex]2x - 3(3) = - 1 \\ 2x = - 1 + 3(3) \\ 2x = - 1 + 9 \\ 2x = 8 \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

2x - 3y = -1

y = 3

Substitute the given value for y.

2x - 3 (3) = -1

2x - 9 = -1

2x - 9 + 9 = -1 + 9

2x = 8

2x/2 = 8/2

x = 4

hope this helps!! p.s. i really need brainliest :)

Answer:

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

Step-by-step explanation:

[tex]\frac{119}{19}[/tex] is an improper fraction meaning the top number is larder than the bottom

you want it in the form of a mixed fraction

to do that we need to first know

how many times can 19 go into 119

or 119 ÷ 19

tell me in comments

that will be our hole number or j

then k will be the remainder wich i can explain after u get what j is in the comments

Answer:

x=134

Step-by-step explanation:

5³ is 125 (5x5x5), and 3² is 9 (3x3)

125+9 = 134

Answer:

Michael Jordan Emsley A. Laney. 5'11"

Stephen Curry Charlotte Christian. 5'6"

3.As much as he learns in his freshmen art seminar about the color blue, Yale student Benson May says, “there is still much more to discover about it.”

4.About one-half of school districts nationwide do not require or recommend that schools provide students with at least 20 minutes to eat lunch once they receive their meal.12

Step-by-step explanation:

hope it helps

Answer:

The answer is A

Step-by-step explanation:

Because if you see all of the choices on top of the row and you put them on a graph and you fold it on the y-axis you will see on the bottom row those are the reflection of the top row so I would go with A! I hope this helps you! Have a great day.

Answer:

14 cm

Step-by-step explanation:

1. Recognize that an isosceles triangle will have at least two equal sides. Given the wording of the problem, we can say that we have two equal sides of 4 cm and a third side of 6 cm

2. Define perimeter. The perimeter of a triangle is the length of the continuous line outlining the triangle

3. Add all three side lengths together (4 cm + 4 cm + 6 cm). This will equal 14 cm

Answer:

volume of cylinder: [tex]\sf 396\pi \ m^3[/tex]

Explanation:

given:

solve:

[tex]\hookrightarrow \sf \pi r^2h[/tex]

[tex]\hookrightarrow \ \sf \pi (6)^2(11)[/tex]

exact:

[tex]\hookrightarrow \ \sf 396 \pi[/tex]

in nearest tenth:

[tex]\hookrightarrow \ \sf 1244.1 \ m^3[/tex]

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

[tex]4.75 * 100 = 475 \%[/tex]

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

[tex]0.99 * 100 = 99 \%[/tex]

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

[tex]10.4 * 100 = 1040\%[/tex]

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Answer:

$1.25

Step-by-step explanation:

Given:

The student council sold 140 sodas for $175.00 at the fall festival.

To Find:

What is the cost per soda?

Note:

To find cost per soda you have to divide Cost by number of Sodas

Solve:

$175.00/140 = 1.25

Hence, the cost per soda is $1.25

~Learn with Lenvy~

Answer:

double down invest even more

Answer:

explanation:

y - 1 = -4(x + 3)

y = -4x - 12 + 1

y = -4x - 11

For find y-intercept, x will be 0

y = -4(0) - 11

y = -11       [ 0, -11 ]

For find x-intercept, y will be 0

0 = -4x - 11

11 = -4x

x = -2.75  [ 2.75 , 0 ]

Plot these two point and draw a straight line. You are done with your task.

Answer: d. $3.24

Step-by-step explanation:

13.5 cents = 1 ounce

24 ounce= 13.5x24

Answer:

1. D -20

2. C (n-7)(n+6) / (n+4)(n-1)

Explanation:

The second one is actually:

(n−7)(n−1)(n+6)2(n+4)

But there isn't that one on the options so the closest one would be C.

Answer:

Yes, Linear

Step-by-step explanation:

The numbers are going at a rate of 4 input for every 8 output

Answer:

[tex]\mathrm{slope\:intercept\:form:\:y = \dfrac{ 1 }{ 2 } x+4}[/tex]

Step-by-step explanation:

To change the equation into slope-intercept form, we write it in the form y=mx+b

So this means that we have to solve for "y" in the equation "-x + 2y = 8"

−x + 2y = 8

Step 1: Add x to both sides

2y = 8 + x

Step 2: Now the equation is in standard form

2y = x + 8

Step 3: Divide both sides by 2

[tex]\mathrm{\dfrac{ 2y }{ 2 } = \dfrac{ x+8 }{ 2 }}[/tex]

Step 4: Dividing by 2 undoes the multiplication by 2

[tex]\mathrm{y = \dfrac{ 1 }{ 2 } x+4}[/tex]

The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag

An equation is an expression that shows the relationship between two or more variables and numbers.

From the diagram:

Price for 150 bag = $38

Cost per bag = $40 / 150 = $0.25

Also:

Price for 50 bag = $15

Cost per bag = $15 / 50 = $0.30

Difference in price = $0.30 - $0.25 = $0.05

The difference in the price per bag for 150 bags versus 50 bags is $0.05 per bag

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Answer:

The answer is c $0.15 per bag

Answer:

[tex]x^3[/tex]+67x+5

Step-by-step explanation:

[tex]13^3=2,197[/tex]

anything higher will surpass 2,637 so dividing 2,637 by 13=67.35 so 67x is the next number .35*13=4.55 round up to get 5 so x^3+67+5 is the answer

Answer:

4/1 , 4 to 1 , 4:1

Step-by-step explanation

those are the 3 ways

Answer:

16 ang answer

Step-by-step explanation:

Kung mali comment me

Answer: Quite simply: 2+x

A constant is simply a number, something that does not change: here it's "2"

A variable can change: here it's "x" - anything can be substituted for x

If we put those two together with a "+" sign, we get an expression: variables or constants (including multiple ones: such as 2x, which is a term) added to each other or subtracted from each other

Answer: 1.6

Step-by-step explanation:

Calculator

The line of best fit of the student model shows the relationship between variables on a scatter plot

The question is incomplete; So, I will make use of a dataset with the following calculation summary from a graphing calculator

So, the equation of the line of fit is:

[tex]y = -0.1x + 50[/tex]

In (a), we have:

So:

The slope means that the number of students reduces each year by a factor of 0.1, while the y-intercept means that the initial number of students is 50

This means that x = 11.

So, we have:

[tex]y = -0.1*11 + 50[/tex]

[tex]y = 49[/tex]

Hence, the number of students in year 11 is 49

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Step-by-step explanation:

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