What is the factored form of the function? what are the zeros of the quadratic function?

Answers

Answer 1

Answer:

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

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

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)


Related Questions

An isosceles right triangle has legs of equal length. If the
hypotenuse is 18 centimeters long, find the length of each leg.

Answers

Step-by-step explanation:

hope you have a great day going so far today

Geometry math work! help needed please.

Answers

Answer:

I decided to use the actual formula this time and got 25.7

Step-by-step explanation:

first we find the length of the arc of bca

360-65

so its 295

then after I use the arc length formula which is

x/360 times 2(pie)r

295/360 times 2(pie)5

295/360 times 31.4159

9267.6983/360 (I multplied 295 and 31.4159)

Then we divide and get

25.743

how many solutions does −5x+12=−12x−12

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:

x= -24/7
decimal= -3.42…

Mixed Number Form:-3 3/7

Simplify the expression

Answers

Step-by-step explanation:

here

=(81x^12/3x^3)1/3

=(3^4.x^12/3.x^3)1/3

=(3^4-1.x^12-3)1/3

=(3^3×1/3.x^9×1/3)

=3×x^3

Find the number to add to x^2 + 14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Answers

Answer:

Option 2

Step-by-step explanation:

Divide the co efficient of 'x' by 2 and the square the result.

14 ÷2 = 7

7² = 49

To make it a perfect trinomial, 49 should be added

x² +14x + 49 = x² + 2*x *7  + 7²        {Compare with a²+ 2ab + b² = (a +b)²}

                   = (x +7)²

Mariah needs to randomly select one of three groups of students to make their presentation first. Which simulation tools could she use in this
situation?
a full standard deck of cards
a spinner divided evenly into four sections, with each section a different color
a six-sided number cube
0 a bag containing 12 chips in three different colors, with four of each color
two coins

Answers

The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color

How to determine the simulation tool?

From the question, we have the following parameter:

Group, n = 3

The probability of selecting a group is:

p = 1/3

This means that the simulation tool to select must have a probability value of 1/3

From the question, the option (d) has a probability of 1/3

This is so because, we have:

Chips = 12Colors = 3Chip of same color = 4

So, the probability of selecting each color is 4/12 or 1/3

Hence, the simulation tool to use is (d)

Read more about probability at:

https://brainly.com/question/251701

Answer:

a bag containing 12 chips in three different colors, with four of each color

and i think

a six-sided number cube

Step-by-step explanation:

plato?

What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d

Answers

The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

What is a monthly payment?

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]

Then the formula will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

P = $5000

r = 0.0052

n = 60

Then we have

[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]

More about the monthly payment link is given below.

https://brainly.com/question/14064255

Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true? all terms of the expansion are positive. all terms in the expansion are negative. the first term in the expansion is positive. the first term in the expansion is negative.

Answers

If the value of n is a positive integer then the first term is always positive. Then the correct option is C.

What is binomial expansion?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

The binomial expression is given (a – b)ⁿ.

If the value of the n is positive then the condition will be

There is a negative sign between a and b so it is impossible to have all the terms positive as well as negative.

But the first term will always be positive.

More about the binomial expansion link is given below.

https://brainly.com/question/12249986

Answer:c

Step-by-step explanation:

edge 2022 slay

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! You decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400π m400, pi, start text, space, m, end text.
What is the diameter of the lake?

Answers

Answer:

diameter = 400 m

Step-by-step explanation:

Perimeter of circle = pi * d

 400 pi                  = pi * d

d = 400 meters  

If the simple interest on $5,000 for 6 years is 1,200 then what is the interest rate?

Answers

Answer:

4%

Step-by-step explanation:

You can use the formula below to find the simple interest rate.

Simple interest = P r t / 100

Here,

P ⇒ Principle ⇒ $ 5000

r ⇒ rate ⇒ ??

t ⇒ time ⇒ 6 years

simple interest ⇒ $ 1200

Let us find it now.

Simple interest = P r t / 100

1200 = 5000 × r × 6 / 100

1200 × 100 = 30000r

120000 = 30000 r

Divide both sides by r.

4 = r

Therefore, the interest rate is 4%

What is the value of y in the solution to this system of equations?

6y + x = negative59
x = negative2y + 9

Answers

Answer:

X=-8,Y=-8.5

Step-by-step explanation:

just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.

HELP ME WITH THIS NOOOOWWWW

Answers

Answer:

A

Step-by-step explanation:

BD = 12

BC = 12/2 => 6

using Pythagoras theorem

AB² = AC² + BC²

AB² = 3² + 6²

AB² = 9 + 36

AB² = 45

AB = √45 (A)

area = 756 cm^2
h = 18 cm
a = 39 cm
b = ?​

Answers

Answer:

given,

area= 756cm^2

h = 18cm

a = 39cm

then,

area = (a+b)h/2

756 = (39+b)18/2

756= 351+9b

756-351= 9b

405 = 9b

405/9= b

b = 45cm

Simplify the expression below: 3(7x) – 2(4 – x)

A. 13 – 2x

B. 13 + 2x

C. 23x – 8

D. 20x – 8

Answers

Answer:

C

Step-by-step explanation:

3(7x)=21x

-2(4-x)= -8+2x

21x-8+2x=23x-8

46. 3 Divided 1. 5 I can't find the answer on this question

Answers

Answer:

30.8666666666666...(repeating 6)

Step-by-step explanation:

46.3/1.5=30.8666666666....

help me PLEASEE i really don’t understand

Answers

Area =Length(L) x Length(L)
Area = L^2
625 = L^2
L = √625
L= 25 m

Perimeter = 4L = 4 x 25 = 100 m
Answer = 100 meters

Help pls!!! No links pls and ty <33

A circle has a circumference of 51 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth

Answers

Answer:

16.2

Step-by-step explanation:

just divide the circumference by 3.14

Answer:

diameter= 16.2338

Step-by-step explanation:

D = C/π

c means CircumferenceD means diameterπ means pi

=> D = 51/3.14

D = 16.2338

D = 16.2

What is the missing value (-15)+18=

Answers

Answer:

3

Step-by-step explanation:

(-15) + 18 = 3

We can check our answers by adding 15 to 3 when doing inverse operations.

Answer:

3

Step-by-step explanation:

-15 + 18 = 3

100 Points!!!! Please Show Steps!

1. Given f(x)=x^2 - 2 and g(x) =4x + 1 Find

a. f(g(x))
b. g(f(x))

Answers

f(x) = x² - 2g(x) = 4x + 1

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

[tex]f[g(x)]=16x^2+8x-1[/tex]

[tex]g[f(x)]=4x^2-7[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^2 - 2[/tex]

[tex]g(x) =4x + 1[/tex]

[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):

[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]

[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):

[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]

Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.

Answers

Answer:

1/10

Step-by-step explanation:

(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000

1³ = 1

10³ = 10000

so the answer is 1/10

or think of it like ∛ (1/1000) = 1/10

A new washing machine is purchase by the hamilton family it cost 324.50 how much will the washing machine cost after 6% sales tax is
applied

Answers

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

60 points) khan academy geometry practice. Need help i in any way cannot miss this question please help!!

Answers

93 degrees (all triangles degrees add to be 180)

5x + 3y -5.70 2x+10y+3.60

Answers

Answer:

I`m not really sure what i`s asking to solve but here`s my best answer.

5x + 3 - 5.70 = 2x + 10y + 3.60

3x + 3 - 5.70 = 10y + 3.60

3x + 3 = 10y + 9.30

3x = 10y + 6.30

^^^That`s the most it can be simplified without any new fractions or decimals

3x = 10y + 6.30

x = 3.33y + 2.10

^^^That`s the most it can be simplified to solve for x.

Find the new side lengths if the scale factor is 2/5. 35 inches 15 iches NEED ANSWER ASAP PLEASEEEE​

Answers

Answer:

l = 14 inches , b = 6 inches

Step-by-step explanation:

multiply length l and breadth b by the scale factor , then

new length = [tex]\frac{2}{5}[/tex] × 35 = 2 × 7 = 14 inches

new breadth = [tex]\frac{2}{5}[/tex] × 15 = 2 × 3 = 6 imches

If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answers

slope: 4/5 is a positive slope

positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.

The picture below shows some examples of equation with positive slope.

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Positive slope: rise from left to right

[tex]m[/tex] is a positive number

[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]

Negative slope: fall from left to right

[tex]m[/tex] is a negative number

[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]

Zero slope: horizontal line

[tex]m=0[/tex]

[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]

Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)

Infinite slope: vertical line

[tex]m= \infty[/tex]

[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

There is no change in x-values for a vertical line, so:

[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]

We also usually call the slope of this line undefined.

Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)

---------------------------------------------------------------------------------

Attached graph:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line

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Need help with this

Answers

Answer:

6

Step-by-step explanation:

PLS GIVE ME BRAINILIEST!

Can some one help me please I am not understanding this

Answers

Answer:

x = (-7.5,0)

y = (0,5.5)

Step-by-step explanation:

y = the vertical line

x = horizontal line

along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers

hope the helps :))

HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.

Answers

1.

Use rise over run method. The line rises one block and runs one block.

What is the slope of a line that is parallel to the line y = 3/4x + 2?
-4/3
-3/4
3/4
4:3

Answers

Answer: The Slope Is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4y = 3/4x + 2

Answer:

x is - 7

Step-by-step explanation:

as you do  4+3=7 then there  is a - sign  in front of it

An exponential function and a linear function are graphed below.



Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?

Answers

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

I think this is correct because the linear function grows at a constant rate so the point where the exponential function's line starts going up faster means that the growth rate is increasing. At the point (1.79,7.17) is when both lines intersect but the exponential function is growing at a faster rate than the linear function.

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

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