2. Consider the equation 3x2 - 13x - 30 = 0.
(a) Write the factored form of the trinomial.

Answers

Answer 1

Answer:

(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)

Step-by-step explanation:

Factor out -13 from -13x

3x^2 - 13(x) - 30 = 0

Rewrite -13 as 5 plus -18

3x^2 + (5 - 18)x - 30 = 0

Apply the distributive property

3x^2 + 5x - 18x - 30 = 0

Now factor out the GCF (Greatest common factor)

To do so we will group the first two terms and last two.

(3x^2 + 5x) - 18x - 30 = 0

Then factor out the GCF from each group.

x(3x + 5) - 6(3x + 5) = 0

(3x + 5)(x - 6) = 0

Answer 2

Answer:

-5/3  ,   6

Step-by-step explanation:

Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)

replace the letters with the values from the equation, and plug it in.

x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
    =
x = (13 ± 23) / 6

You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are

-5/3

and

6


Related Questions

Find the total surface area of the net below

Answers

Answer:

75

Step-by-step explanation:

for the square in the middle, 7x4=28

for the triangles on the left and right 7x5=35 and since there are two of them you dont need to divide by 2

for the triangles on top and bottom, 3x4=12 and also 2 of them so you dont need to divide by 2

then just add it all up

Hi i need help with question number 1

Answers

I think the second answer is correct. I can’t see the full question but given what you have sin makes the most sense.

At the first pep rally of the season, the football team and the volleyball team were presented to the student body. During the pep rally, up to 11 players talked to the crowd. Football players talked about 17 seconds each and volleyball players talked about 28 seconds each.

If the players only had a total of 242 seconds (4.03 minutes), which system of inequalities could be used to determine the number of football players (f) and volleyball player! (v) that could talk to the student body?

A. f+ y< 11 17f+ 287< 242
B. ftv< 11 17y + 28% < 242
C. f+ v< 11 176+ 28v< 242
D. ftv< 11 17v+28f< 242​

Answers

Answer:

A. f + y ≤ 11

17f + 287 ≤ 242

Step-by-step explanation:

[] Let f be football players and v be volleyball players.

-> The total time must be less than or equal to 242 seconds.

-> If football players talked for 17 seconds, we can write it as 17f.

-> If volleyball players talked for 28 seconds, we can write it as 28v.

[] Coming back to the first point I made, the total time must be less than or equal to 242 seconds.

-> 17f + 28v ≤ 242

[] This is going to be a part of our system of inequalities

-> Because of this, we rule out the following options.

B & D - the football players talk for 17 seconds, not the volleyball players

C ​ - not less than or equal too, only less than

[] This leaves us with the option of A.

-> The first part of it also works. If 11 players can talk to the crowd, then the total of f and v must be equal too or less than 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

A hummingbird flaps its wings 1500 times per minute while airborne. While migrating south in the winter, how many times during a 1.5 hour flight does the hummingbird flap its wings? (reminder- to get the extra credit you MUST attach work)

p.s. i need the work to how to do it

Answers

Answer:

135,000

Step-by-step explanation:

1.5 hour means 90 minutes

1500 * 90 = 135000

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

The greatest number for circle B is letter E

what is the total volume of the both storage space if one side of the large storage space is 4 feet long

Answers

Answer:

I believe your answer is 76.

Hope this helped!

simplify the expression by combing terms.

8a+4b+2c-3b+a

Answers

Answer:

9a+b+2c

Step-by-step explanation:

combined like terms

The constant of proportionality from the table that follows is please help

Answers

Answer:

Nonexistent

Step-by-step explanation:

The constant of proportionality k is given by k=y/x

We have three examples:

1. x=-3, y=1 (k=-1/3)

2. x=-1, y=3 (k=-3/1)

3. x=3, y=-1 (k=-1/3)

Because the constants are inconsistent, the answer is the last option, Nonexistent.

Which of the following sets are continuous? Check all that apply.
A. {2, 4, 6, 8, ...)
B. (-0, +00)
C. (30, 45]
D. [60, 100)
E. {3,7)

Answers

Answer: The correct answer option is B.

Step-by-step explanation:

We are to determine whether which of the given data sets in the answer options are continuous.

For this, we need to know what a continuous data set is.

A data set that has no definite end to its value but keeps on continuing.

Here, the data sets are given in A, C, D, and E have definite starting and ending points.

While B is a continuous set as its values are continuing to infinity.


Given: f(x) = 5x* - 3x² + 6x + 2. Find f(-2).

Answers

Answer:

f(-2) =-32

Step-by-step explanation:

f(x) = 5x* - 3x² + 6x + 2. f(-2)

f(-2) = 5(-2) - 3([tex]-2^{2}[/tex]) + 6(-2) + 2

f(-2) = -10 - 3(4) -12 + 2

f(-2) = -10 - 12 -12 + 2

f(-2) = (-10 - 12 -12) + 2

f(-2) = (-10 -24) + 2

f(-2) = (-34) + 2

f(-2) =-32

Hope that helps!

Answer:

[tex] \boxed{f( - 2) \: is \: - 32}[/tex]

Step-by-step explanation:

f(x) = 5x - 3x² + 6x + 2

f(-2) ?

substitute -2 as x into the equation of the function

f(-2) = 5(-2) - 3(-2)² + 6(-2) + 2

Note :positive × negative = negative(-x)² = -x × (-x)negative × negative = positive

[tex]f( - 2) = - 10 - 3.4 + ( - 12) + 2[/tex]

[tex] f( - 2) = - 10 - 12 + ( - 12) + 2[/tex]

[tex] f( - 2) = - 22 - 12 + 2[/tex]

[tex]f( - 2) = - 32[/tex]

Write an expression to describe the situation.
You have a job earning $1500 a month, m. What expression represents the total amount you’ve earned?

Answers

1500•m i’m guessing

The expression to describe the situation is $1500m, which represent the total amount you’ve earned.

What is an expression?

Expressions can be regarded as the mathematical statements which posses  two terms  or more as well as  numbers or variables, along with an operator.

sincere the total earning is $1500 a month,Then it can be expressed in term of m as   $1500m

learn more about expression at: https://brainly.com/question/723406

#SPJ9

Which ordered pair can be added to the table so that y is still a function of x

A. 4,5

B. 2,5

C. 0,4

D. -2,4

Answers

Answer:

  A. 4,5

Step-by-step explanation:

No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.

2 min left and brainleist

Answers

Answer:

y=3x.

Step-by-step explanation:

PLEASE HELP ASAP

1. Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on Sunday afternoons. During
football season, he has big television screens televising NFL games and he sells 72 pizzas.

a. What is the percent change?
b. did it increase or decrease?
c. answer in a complete question


(PLEASE SHOW WORK)

Answers

Answer:

a. 60%

b. increase

Step-by-step explanation:

To find the percentage, you can divide 72 by 45 to get the decimal increase, or 1.6. Percentage rates are decimals, and you can think about this like coloring 60 circles out of 100, representing 60% of 100. Since 72 is higher than 45, this was a percentage increase.

Find the domain of the graphed function​

Answers

Answer:

B. [tex]-1 \le x \le 3[/tex]

Step-by-step explanation:

The domain is the possible x- values of a function. The x- values of this graph range from -1 to 3, so the answer is B.

What is the equation of the line that goes through the points (1,1) and 3,-3)

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

[]Let us write an equation in slope-intercept form.

-> See attached

-> Our equation will start out as y = x

[] The slope can be found by taking the change in y divided by the change in x

-> [tex]\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2[/tex]

-> Now our equation is y = -2x

[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.

-> y = -2x + b

(1) = -2(1) + b

1 = -2 + b

3 = b

-> Now our equation is y = -2x + 3, which is our final answer.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

y = -2x +3

Step-by-step explanation:

coordinates given (1,1) and (3,-3)

How to find equation? first find slope.

slope formula:

(y2-y1)/(x2-x1)

using this formula:

(-3-1)/(3-1)

-4/2

-2 ........this is slope also refereed as (m) in short form.

Use the formula:

y - y1 = m( x - x1)

using the formula:

y - 1 = -2( x - 1)

y -1 = -2x + 2

y = -2x +3

In a board game, each player selects 4 different tokens from 16 to start the game.

How many different ways are there to select 4 tokens without repetition?

Answers

Answer:

1820

Step-by-step explanation:

n = 16

r = 4

(16)C(4) = 1820

100×100×60×2(4) /3(2)×5(3)×32​

Answers

Answer:

1666.67

Step-by-step explanation:

100×100×60×2×4

=____________________

3×2×5×3×32

=4800000

_________

2880

=1666.67

divide 82 in the ratio 1:3

will give brainliest to whoever answers first

Answers

Answer:

20.5 : 61.5

Step-by-step explanation:

1:3

1 + 3 = 4

82 ÷ 4 = 20.5

ratio of 1:3

1 × 20.5 = 20.5

3 × 20.5 = 61.5

20.5 : 61.5

30. Tickets to a concert are $24 apiece. There is also a $5 handling fee for the
entire order. You and some friends ordered tickets and the bill came to a total
of $173. How many tickets did you order?

Answers

Answer:

7 tickets

Step-by-step explanation:

First, do 173 - 5 which is 168

Then, divided 168 by 24

That is equal to 7


You and ur friends ordered 7 tickets!

Hope this helps! :)

AE=12 & EC=4, which of the following would NOT be possible lengths of DE & EB?

a. 8&6
b. 10&4.8
c. 24 & 2
d. none of these

Answers

Answer: none of those so D
hope this helps

The diagram shows three straight lines work out the size of angles a, b and c.

Answers

Answer:

a = 21°

b = 70°

c = 89°

Step-by-step explanation:

a = 21° as vertically opposite angles are equal

to work out b:

angles on a straight line add up to 180

b + 110 = 180

b = 180 - 110

b = 70°

to work out c:

the sum of angles in a triangle add up to 180

we have a and b

21 + 70 + c = 180

91 + c = 180

c = 180 - 91

c = 89°

Urgent! Need help as soon as possible!
Above is a distance/time graph showing an object in motion. Use the information from the graph, write a scenario(story) about what the object is doing during each section.

Answers

Answer:

Step-by-step explanation:

A car moves from rest. During the first 20 seconds, it moves uniformly to a distance of 40 m. Then it stopped there for 10 seconds. Then It takes 20 seconds to move uniformly back to the starting position.

PLEASE HELP!!! I NEED ANSWERS NOW!!!

Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.

Answers

Chef Alfredo made the investment 4 years ago.

To solve this problem, we have to use the formula of simple interest.

Data;

rate = 5%principal = 4800Simple Interest + principal = $6000T = time ?

Simple Interest

The formula of simple interest is given as

[tex]S.I = \frac{PRT}{100}[/tex]

Let's subtract the principal from the final amount to know the simple interest

[tex]6000-4800=1200[/tex]

Substitute the values into the formula

[tex]s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4[/tex]

The time he made that investment was 4 years ago

Learn more on simple interest here;

https://brainly.com/question/20690803

please no link this is meant for my son

Answers

Answer:

4/15

Step-by-step explanation:

They have baked 1/3 + 2/5. To add you need common denominators.

1/3 = 5/15,     2/5 = 6/15

5/15 + 6/15 = 11/15. This is what they baked.

To find what is left, we need to subtract from 1.  1 = 15/15

15/15 - 11/15 = 4/15

44.3 rounded to the tenths place

Answers

It’s still 44.3 since there’s no other number ex: 44.36 would round to 44.4
Answer:
44.3
Step-by-step explanation:
After the decimal if the number is lesser than 5 you leave it as it is. If that isn't the number I'm sorry.

21) Jaquan earns $5 per hour raking leaves. He needs at least $170 to buy a new deo game system. Write an inequality that describes how many hours he must work to reach his goal.​

Answers

5x>/170
(WORK SHOWN BELOW)

Suppose that a loan of $5500 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
?

Answers

Answer:

11,990

9% of 5500 is 495

(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.

Hope it helps

Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.

a. What do you know about the friend's investment based on this?

b. Is the friend's math correct based on the rule of 72?

Answers

Answer:

  a. the investment earns 4%

  b. yes

Step-by-step explanation:

The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...

  f(x) = 72/x

__

a.

We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.

__

b.

Using the above formula, ...

  f(4) = 72/4 = 18

The friend's math is correct.

Find the area please help me

Answers

the area of the trapezoid is 30
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