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

A student bought 44 pencils for school. if he sharpened 8 of the pencils before school, what is his ratio of unsharpened pencils to sharpened pencils

Answers

Answer:

8:36

Step-by-step explanation:

if you sharpened 8 pencils out of 44 that means 8 pencils are sharpened and the other 36 aren't

36:8 this is it because after he sharpens them he will have 36 unsharpened to sharpened pencils



HELP SOLVE PLEASEEE

Answers

Answer:

d. -6x + 2 = -15

1/2 : 10 = 2 12 : x
What is the value of x

Answers

I am probably wrong but with the math I do I got 35

can anyone heelp me pls pls

Answers

Lotion - Liquid

Suspension - semisolid

Capsule - solid

hope this helps: )

A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=0x+2

Step-by-step explanation:

OMG I NEED HELP WITH THIS ANSWER RN

The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?

A.
Little Rock's temperature > Lincoln's temperature

B.
Little Rock's temperature = Lincoln's temperature

C.
Little Rock's temperature < Lincoln's temperature

Answers

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

If measure angle 4 is equal to 35 degrees, find the measure angle 2 and measure angle 3.

Answers

Answer:

< 2 = 35 degrees and

<3 = 55 degrees

Step-by-step explanation:

<3 = 90-35

= 55 degrees

<1 = 90 degrees

<2 = 180 - 90 - 55

= 35 degrees


You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?

Answers

Answer:

$32.50

Step-by-step explanation:

The equation for simple interest is

Simple Interest=P×r×n

where:

P=Principal amount

r=Annual interest rate

n=Term of loan, in years

​so

P=200

r=0.0325

n=5

so 200*0.0325*5=32.5

Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?

Answers

Answer:

Domain: (0,1,23)

Range: (0.35,1.35,2.35)

Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.

Please help I’ll give brainliest

Answers

Answer:

ITS D GOOD LUCK WITH YOUR HMK

What is the length of ef in the right triangle below?

Answers

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

I need help with this math problem

Answers

Answer:

F(x)=(x+6)^2

Step-by-step explanation:

Hope this helps!

pls help I will put brainliest ​

Answers

26

the number line ticks count by 2

hope this helped :)

Once the high temperature was 30°F. Then at night the temperature dropped by 23 degrees. does the expression 30 + (-23) mean the temperature at night? explain.​

Answers

Answer:

Step-by-step explanation:

simple arithmetic duh

Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12

Answers

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

C increased by 8 can I get help

Answers

Answer:

the answer based on the information provided is c + 8

Step-by-step explanation:

8 added to C is c + 8, since they are unlike terms

solve pls branliest !

Answers

Answer:

72

Step-by-step explanation:

8×3²

=8×9

=72

so it is the answer

Write and simplify an expression for the difference between the perimeters of the rectangle and the hexagon

Answers

Answer:

hey man i need a screenshot or something

Step-by-step explanation:

50×54+35-44
Simplification
no spam
steps must​

Answers

Answer:

=2691

Step-by-step explanation:

=2700+35−44

=2735−44

=2691

​NEED HELP ASAP RIGHT ANSWER ONLY 69 POINTS
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision.

(2,−1), (3,0.5), (6,1.5),

Answers

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

Suppose z varies directly with x and inversely with the square of y . If z=18 when x=6 and y=5 , what is z when x=11 and y=10?

Answers

Z is equal to 8.25 hope this helps you

find the value of x 4x + 3 = -5x + 21​

Answers

4x + 3 = -5x + 21

9x + 3 = 21

9x = 18

x = 2

Hope this helps!! :)

Answer:

x=2

Step-by-step explanation:

4x + 3 = -5x + 21

add 5x on both sideswhich will get u to 9x +3 = 21subtract 3 from both sideswhich will get u to 9x = 18divide 9 from both sides and the answer is x = 2

Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.

Answers

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]

Substituting the values of the variables into the equation, we have

[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Learn more about intensity of sound here:

https://brainly.com/question/4431819

a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.​

Answers

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.

Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?

Answers

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

If you want to learn more, you can read:

https://brainly.com/question/11897796

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Answers

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

[tex]y = a(x - 1)^2 - 6[/tex]

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]

or

[tex]a = -\frac{1}{9}[/tex]

Therefore, the equation of the parabola is

[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]


p(x) = 3(x + 10x + 5) - 5(x - k)

In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?

Answers

First, you should simplify the function expression.

 

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

 

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

 

So: 15 + 5k = 0

 

5k = -15

k = -3

Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.

Answers

So we first round the bill to the nearest ten dollars which would be : $40.
Now we take $40 x 0.15 = $6.00
The answer is : $6 tip

Find the area of the circle.

Answers

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

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