Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

Answers

Answer 1

Answer:

Work shown below;

Step-by-step explanation:

Factor by grouping:

[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]


Related Questions

I WILL MARK AS BRAINLIEST!!!!

Answers

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

A’ is the image of A in a regular pentagon. What is the angle of a clockwise rotation, in degrees, about the origin that transfers A to A’

Answers

Answer:

B. 144°

Step-by-step explanation:

have a nice day.

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.

What is the probability that both will be girls?

Answers

Answer:

5/24 or 20.8%

Step-by-step explanation:

 

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

 

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

 

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?

Answers

3 rows. Sorry if I’m wrong

Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?

Answers

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?

Answers

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240

Answers

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

What is the least common multiple of 6 and 8?

Answers

Answer:

2

Step-by-step explanation:

I need help please help me.THANKS!!

Answers

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

or

42 + 120 = 162

Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?

Answers

Answer:

$792 last week's commission.

$41,184 for 2011

Step-by-step explanation:

11% of 7200 is = $792

$792 times 52 weeks in a year is $41,184

If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)

Answers

Answer:

ppap

Step-by-step explanation:

fhfhhffhff my name is denish paudyal

Answer:

7 - 5i

Step-by-step explanation:

complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then

7 - 5i is also a zero

The total cost for tuition plus room and board at State University is 6,584
dollars. Tuition costs 1804 dollars more than room and board. What is the
tuition fee?

Answers

Answer:

$4,194

Step-by-step explanation:

First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Which ones are functions?

Answers

Answer:

6,8

Step-by-step explanation:

5, 6, and 8 are functions because the x doesn’t have repeated numbers.

For the 7 in number 5 that doesn’t have an arrow, it just means, (7, 0).

Mark as Brainlie if it helped!

Write the equation in Standard Form.
72 = 2 – 4y

Answers

Answer:

seventy-two equals two minus four times

Step-by-step explanation:

Answer:

72x+4y=2

Step-by-step explanation:

Someone help ASAP
I don’t understand

Answers

Answer:

[tex]\sqrt{49}[/tex] and 1/4 are rational numbers

Step-by-step explanation:

others are not rational numbers because the decimals goes on forever.

Ex. [tex]\sqrt{7}[/tex]=2.64575.....

4/9=0.444444444...

pi goes on forever

help plzzzzzz it should be easy

Answers

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

Raise to the power:
[tex](-3y)^{4}[/tex]

Answers

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[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]

[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]

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answer: 81y^4


explanation: you raise each term to the 4th power

for the first term “3” 3•3•3•3 = 81
for the second term “y” y^4

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors.

1.) x^2+4x+3= (x+1) (x+3)

2.) x^2-2x-99 = (x+3) (x-11)

Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?

Answers

Y = 5/2x because the A value need to be the opposite reciprocal for a perpendicular line you then plug the point you are given into our new EQ which equals -2=(5/2)(3) + b (solving for b) and you get b = -9.5 so your new equation is y = 5/2x - 9.5 making your Y int -9.5

3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.

Answers

s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

What is the answer to this question because I can’t understand it

Answers

Answer:

you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!

Answer:

(x-11,y-12)

Step-by-step explanation:

1092 in exponential form

Answers

Answer:

1.092 × [tex]10^{3}[/tex]  

I hope this helps!

Answer:

1.092×10^3 is the answer .hope this helps

16) The zero of a polynomial ax+b (a is not zero) is

a/b
b/a
-a/b
-b/a​

Answers

Answer:

x = - [tex]\frac{b}{a}[/tex] ( a ≠ 0 )

Step-by-step explanation:

To find the zero, let the polynomial equal zero, that is

ax + b = 0 ( subtract b from both sides )

ax = - b ( divide both sides by a )

x = - [tex]\frac{b}{a}[/tex]

The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?

Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.

Answers

Answer:

shes so wrong

Step-by-step explanation:

6+14=20+19=39+11=50

100/50=2

6x2=12

12%

What is the solution to the equation 5x−2=2x+13

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5x-2=2x+13

-2x     -2x

3x-2=13

    +2   +2

3x=15

divide 15 by 3.

WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.

Answers

While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.

Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.

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