Write a quadratic function whose zeros are -12 and -2.

Answers

Answer 1

Answer:

(x+12) (x+2)

x(x+12)+2(x+12)

x^2+12x+2x+24

x^2+14x+24

Step-by-step explanation:

Answer 2

Answer:

f(x) = x² + 14x + 24

Step-by-step explanation:

Given the zeros of -12 and -2, then it means that:

x + 12 = 0 and x + 2 = 0

As a proof, if you isolate x, you'll end up with the given values:

x + 12 - 12 = 0 - 12

x = -12

x + 2 - 2 = 0 - 2

x = -2

In terms of using these values into the quadratic function:

(x + 12) (x + 2)

Perform the FOIL method in order to find the quadratic function:

(x + 12) (x + 2)  

f(x) = x² + 2x + 12x + 24

f(x) = x² + 14x + 24   ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.


Related Questions

Georg invests $5000 for 14 years at a rate of 2% per year compound interest.
Calculate the interest he receives.

Answers

Answer:

[tex]\frac{1}{50}[/tex] or 0.02

Step-by-step explanation:

2% x 1 to give the answer

or

reduce it to faction like

[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]

HELPP I HAVE 12 MINUTES LEFTT

Answers

Answer:

6

Step-by-step explanation:

When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)

This goes for both 1.4

so, 1 + 1.

Next, you have 4.1 (which is also below .5, so .4 or below.)

It is 1 + 1 + 4.

That is 6. Hope this helps a bit ^^ :>

Answer:

(see explanation)

Step-by-step explanation:

Rounding to whole numbers,

1.4 rounds to 1

4.1 rounds to 4.

1+1+4 = 6

However, if you're rounding to the nearest 0.5,

1.4 rounds to 1.5

4.1 rounds to 4.0

1.5 + 1.5 + 4.0 = 7

What is the solution to the following equation? Please help!

Answers

Answer :

D

Step By Step Explanation :

solve. −3.1=−3.5x−4.6

Answers

Answer:

x = 0.428571 repeating

Step-by-step explanation:

Answer:

-0.428571 repeating

Step-by-step explanation:

add 4.6 both sides

1.5 = -3.5x

divide -3.5 both sides

-0.428571 repeating

SOLVE THIS AND EXPLAIN STEP BY STEP PLEASE!!!!

Answers

Answer:0=0

Step-by-step explanation:2(4x + 3) = 17x+3-9x +3 1st we will distribute. 2 times 4x gives you 8x and 2 times 3 gives you 6. Now the equation is 8x + 6 = 17x+3-9x+3.Now we're gonna add 3 + 3 gives you 6. Now the equation is 8x +6 = 17x+6-9x Now we're gonna combine like terms. So now we'll put together 17x - 9x which give you 8x. Now the equation is 8x +6 = 8x +6. Now where gonna subtract 6 from both sides. 8x = 8x and if I simplify it we'll get 0=0 which is the final answer

The least common multiple of the numbers 15, 12, 8

Answers

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

Answer:

2 and 1

Step-by-step explanation:

1 is the best which can go into

8 15 and 12

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.

Answers

Determine the independent variable and dependent variable in the situation

The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".

An independent variable is a the variable which causes a change.

A dependent variable is the result or effect of a change.

Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".

Read more:

https://brainly.com/question/23700645

¿Qué es y cómo se forman un enlace químico?

Answers

Los enlaces químicos son las fuerzas de atracción que unen a los átomos. Los enlaces se forman cuando los electrones de valencia, los electrones en la “capa” electrónica más externa de un átomo, interactúan. ... Los átomos con electronegatividad igual o similar forman enlaces covalentes, en los que la densidad de electrones de valencia se comparte entre los dos átom

Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m​

Answers

Given :

Area of square equals to the area of rectangle of sides 4.9m and 1.6m .

To find :-

The side of the square .

Solution :-

As we know ,

Area = side² 4.9 * 1.6 = a²a = √ 49/10 * 16/10 a = 7/10 * 4/10 a = 28/100 a = 0.28 m

PLEASEE I NEEEDDD HELPPPPPP

Answers

Answer:

make a chart and it will be easy for you

PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8
Question 2 options:

x-intercept = 1.2

y-intercept = -3.6


x-intercept = -1.2

y-intercept = 3.6


x-intercept = -3.6

y-intercept = 1.2


x-intercept = 3.6

y-intercept = -1.2

Answers

Answer:

x-intercept = 3.6

y-intercept = -1.2

Step-by-step explanation:

YO I NEED HELP

A forest owned by the Jumbo Lumber Corporation contains 4,498 trees. If Jumbo Lumber cuts down 57 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
A.
n(t) = (4,498-57)t
B.
n(t) = 4,498 + 57t
C.
n(t) = 4,498t - 57
D.
n(t) = 4,498 - 57t

Answers

Answer:

D

Step-by-step explanation:

Edmentum:))

How do i solve this?????

Answers

Answer:

Step-by-step explanation:

Can someone help me please

Answers

Answer:

181.25 square feet

1/6 quart water

1/18 cup milk

1/3 beef bouillon cube, and 2/3 a large carrot

Step-by-step explanation:

632 16/25 +32 3/10 answer in decimal

Answers

Answer:

664.94

Step-by-step explanation:

Give me brainlyest please

Answer:

664.94 is the answer to this question. I hope this helps.

please solve it.......​

Answers

Answer:

dy/dx = - (y/x)^4

Step-by-step explanation:

We are given the equation:

[tex] \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }[/tex]

Recall important differential formulas such as:

[tex] \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}[/tex]

Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)

[tex] \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }[/tex]

Apply the distribution property in.

[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }[/tex]

We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).

But we treat a^3 as a constant so we just put 0.

[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Recall the quotient rules for the numerator = 1.

[tex] \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }[/tex]

Thus:

[tex] \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Make sure to recall power rules for differential and exponent laws.

From 3x^2 / x^6.

[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]

Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.

[tex] \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }[/tex]

Solve for dy/dx, add both sides by 3/x^4.

[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ [/tex]

Divide both sides by - 3/y^4.

[tex] \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}[/tex]

How can you compare data sets?

Answers

Answer:

Grapgical charts and data plots

Step-by-step explanation:

Graphically.

Spread.

Shape.

Unusual features.

Step-by-step explanation:

Hope it helps you!!

Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x

Answers

B is the answers………..

c. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
find
i. The total number of people in the community.
ii. The number of women in the community.
iii. How many more women are there than men if 400 men joined the community.

Answers

i. 5,400
ii. 3,000
iii. 200
Total number of parts the population is divided into: 5+4=9.

We know that 2,400 relates to the 4 parts of the ratio, so one part is 2,400 : 4 = 600.

i) So, in total, there are 600 (measure for one part) * 9 (total number of parts) = 5400 people in the community

ii) There are 5 parts in the women’s community. So, total number of women: 5 * 600 = 3000

iii) There we’re originally 5400 - 3000 = 2400 men in the community. If 400 more join, there will be 2400+400 = 2800 men.

So, there are still 3000 women and now 2800 men, so the difference between these is 3000-2800= 200.

There are 200 more women than men if 400 men joined the community.

Hope that’s helpful :)

I need help please !!!

Answers

Answer:

ดำหเภสยาแไ_ะทบบใืกไภเืวบวมเพนยชตึภ/ภึรื

Find the value of x
Write ur answer in simplest form

Answers

Answer:

x = 10

Step-by-step explanation:

a² + b² = c²

(5√2)² + (5√2)² = x²

50 + 50 = x²

x² = 100

x= 10

The constant of proportionality can be found by finding the

Answers

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The statement is:

The constant of proportionality can be found by finding the

As we know, from the definition of the proportional relationship;  the relationship between two variables when the first variable increases.

Let x and y are in the proportional relationship

y ∝ x

y = kx

Here k is the constant of proportionality:

k = y/x

The constant of proportionality can be found by finding the ratio of y to x.

Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.

Learn more about the proportional here:

brainly.com/question/14263719

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how many fifths are there in 4 wholes? (see the illustrate given)​

Answers

Answer:

To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes

(A)

Hi, this is multiplication with decimals, help!

Answers

Answer:

Sean paid 0.25 more cents than Cal.

Step-by-step explanation:

Cal's problem: 2.4 * 2.55 = 6.12

Sean's problem: 2.6 * 2.45 = 6.37

Answer:

I think 0.25

Step-by-step explanation:

Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25

Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

Answers

You can write it in point-slope form like I did at the top, but I simplified it to slope-intercept (the answer with a square around it)

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

What is the equation of a parallel line?

Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,

y = mx + d

Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.

y = (10/3)x + d

The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ5

The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 ​ x+7 and y-\frac{2}{5}x=-4y− 5 2 ​ x=−4 are

Answers

Answer:

bxjfjxucjkkdndjkjhkjjnn

Please help me thank you!!

Answers

Answer:

what the hell

Step-by-step explanation:

Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)

Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)

Answers

9514 1404 393

Answer:

  A) 1.3×10^37 ergs

  B) 1.435×10^3 mm

Step-by-step explanation:

A) The quantity is found by multiplying the rate by the time:

  (3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs

The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.

__

B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.

Classify each number as an integer or not -32/4 yes or no -27/9 yes or no 5/11 yes or no -73.27 yes or no -36 yes or no

Answers

Answers:

-32/4 = yes-27/9 = yes5/11 = no-73.27 = no-36 = yes

=====================================================

Explanation:

Use long division or a calculator to find that -32/4 turns into -8. This is an integer because it's a negative whole number.

The same goes for -27/9 because it turns into -3

The value -36 is also an integer as well

Something like 5/11 is not an integer because 5/11 = 0.4545 approximately which isn't a positive whole number. Integers are either positive or negative whole numbers, or 0.

For similar reasons, we can see that -73.27 isn't an integer either because it's not a negative whole number.

Name the jelly like fluid that the other organelles float around in a cell. O Cytoplasm O Cell Membrane O Chloroplast​

Answers

Step-by-step explanation:

[tex] \bf \underline\red{Question}[/tex]

Name the jelly like fluid that the other organelles float around in a cell?

[tex] \bf \underline\red{Answer}[/tex]

Cytoplasm.

Answer:

cytoplasm

step by step explanation

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