Write the quadratic equation whose roots are - 5 and -4, and whose leading coefficient is 3.

Answers

Answer 1

Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60


Related Questions

John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $145 before tax was added. Which equation represents the cost of each pants, p.

Answers

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.
What is the value of y when the value of x is 1?
Free 50 pts its [60]

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the equation of the line passing through points (1,1) and (3,-5)

Answers

Answer:

m=-3

Step-by-step explanation:

please help me on this will give you brainliedt

Answers

Answer:

x = 38

Step-by-step explanation:

Exterior Angle Theorem

x + 99 = 137

subtract 99 from both sides and...

x = 38!

Answer:

137-99 would equal the missing angel which is 38°

i need help finding the missing angle measurement​

Answers

Answer:

70

Step-by-step explanation:

find the scale factor

Answers

2 because the one side doubled and what happens to 1 side happens to them all, so 2

Answer:

2 is ur answer.

hope it helps you.

what is the mesuement for y

Answers

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

What is the value of y=10x+2 when x=4

Answers

Answer:

y = 42

Step-by-step explanation:

Given

y = 10x + 2 ← substitute x = 4

y = 10(4) + 2 = 40 + 2 = 42

Answer:

=42

Step-by-step explanation:

y=10(4)+2

10 x 4 = 40

40 + 2 = 42

y=42

Write an inequality to represent each sentence.
1. A number cis at least 12.

Answers

Answer:

n ≤ 12

Step-by-step explanation:

The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.

I hope this helps you :D


The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
is sold by allowing 20 % discount, what will be the profit percent?

Answers

Answer:

mp=2800

mp=cp+40%ofcp=cp+40/100×cp=1.4cp

2800=1.4çp

cp=2800/1.4=2000

discount=20%

profit%=?

Step-by-step explanation:

sp=mp-discount%of mp=2800-20/100×2800=2240

profit=sp-cp=2240-2000=240

profit%=profit/cp×100%=240/2000×100%=12%

Answer if correct 70 points Brainly

Answers

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the follow expression, c represents the original cost of the coffee pot. C- 0.2c
Which other expression could kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C. 1.8c
D. 80c​

Answers

A had it before tee her

BRAINLIEST. HELP pleaseee

Answers

Answer:

2x = 10

Simplifying

2x = 10

Solving

2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '2'.

x = 5

Simplifying

x = 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-8+2x=10

-8 + 2x + 8 = 10 + 8

2x/2 = 18/2

x=9

At a given high school, the probability that a student is taking a geometry class is 0.24. The probability that a student is taking a chemistry
class and a geometry class is 0.18.
If a student is taking a geometry class, what is the probability that the student is also taking a chemistry class?

Answers

Answer:

0.24

Step-by-step explanation:

Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?

Answers

Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:

mrs moore is doing laundry and has various pieces of clothing in her laundry basket. what is the probability of selecting a top rather than a bottom ( 3 pants and 1 top)

Answers

not likely but maybe lets say their was more clothes there would still be more pants

what are the factors to 424,380

Answers

Answer:

the factors are:  1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.

Step-by-step explanation:

evaluate the expression 2x+6 if x = 4

Answers

2(4)+6
8+6
=14
you’re welcome :)

You receive $8 for raking leaves for 2 hours. What is your hourly wage?

An expression is

An hourly wage is $

Answers

Answer:

your hourly wage is 4

Step-by-step explanation:

Hourly wage will be 4 if done correctly.

Given f(x) = 2x2 - 4, what is f(3)

Answers

Answer:

x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just plug in 3 for x

2*3^2-4 = 18-4 = 14

can you help me please ??​

Answers

Answer:

25 pages.

Step-by-step explanation:

all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.

Find 3 ratios that are equivalent to the given ratio.
12:14

Answers

6:7
24:28
48:56
to find ratios that are equivalent to any given ratio you can just divide or multiply both numbers by the same number, like for 2:3, just multiply both numbers by 2 and you'll get 4:6 which is an equivalent ratio

I will give you 15 points

Answers

Answer: A, D

Step-by-step explanation:

lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball

Answers

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

Please help i am very confused

Answers

Answer:

[tex]\sqrt{80}[/tex]

80 is the number in the square root

Step-by-step explanation:

[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]

please help asap also brainly

Answers

It’s number 1 I know because I took the quiz

help please, solve for x

Answers

Answer:

x=18

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

[tex]4x=72[/tex]

Divide both sides by 4:

[tex]x=18[/tex]

Hope this helps! :)

What is the value of s? Please show work

Answers

Answer:

S = 15

That the answer :) .

Answer:

s=90°

Step-by-step explanation:

a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°

s=90°

hope this helps

Number 2 please help

Answers

Answer:

you just have to check the first and the third box

Step-by-step explanation:

put each into slop intercept form

y+6=-5(x-2) is the same as y=-5x+4

y-2=-5(x+6) is the same as y=-5x-28

y=-5x+4

y=-5x-28

all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true

PLEASE HELP


The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.

Answers

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

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