find all the zeros of the quadratic function
[tex]y = x^{2} - x - 20[/tex]

Answers

Answer 1

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[tex]y = {x}^{2} - x - 20[/tex]

[tex]y = (x - 5)(x + 4)[/tex]

To find the zeroes , Just need to put 0 instead of y .

[tex]0 = (x - 5)(x + 4)[/tex]

[tex](x - 5)(x + 4) = 0[/tex]

_________________________________

Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]

_________________________________

[tex]x - 5 = 0[/tex]

Add sides 5

[tex]x - 5 + 5 = 0 + 5[/tex]

[tex]x = 5[/tex]

Or

[tex]x + 4 = 0[/tex]

Subtract sides 4

[tex]x + 4 - 4 = 0 - 4[/tex]

[tex]x = - 4[/tex]

Thus the zeroes are :

( - 4 , 0 ) and ( 5 , 0 ) .

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Related Questions

Danny charges $40 for 4 hours of swimming lessons, Martin charges $85 for 5 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny does

Step-by-step explanation: 40 / 4 = 10

                                              85 / 5 = 17

10 is less than 17 meaning that Danny is offering a better deal.

Hope this helps!

Answer:

Danny

Step-by-step explanation:

Danny offers $40 for four hours and Martin has a deal of $85 for five hours of swimming lessons so i know that Danny has the beater deal.

what is the smallest even number you can make with the numbers 5,7,4,9

Answers

Answer:

-4

Step-by-step explanation:

5 - 9 = -4.

Only 4 - 9 = -5 is smaller, but it is an odd number.

Answer:

-1

Step-by-step explanation:

5-7= -2, 7-9= -2

4-9= -5, 4-5= -1

can someone help me with these questions I want to make sure I got them right ​

Answers

9514 1404 393

Answer:

14/9-3.65/411/2, 7/8, 5/18

Step-by-step explanation:

1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9

__

2. x = (9.82 -28.18)/5.1 = -3.6

__

3. y = 3/2 -1/4 = 5/4

__

4a. t = 2(3 -1/4) = 11/2

4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8

4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18

What is the value of (3/4)3?

Answers

Answer:

2.25

Step-by-step explanation:

(3/4)3 = 3/4 × 3 = 2.25

I hope this helps!

0.612 as a simplified fraction ​

Answers

Answer:

153/250

Step-by-step explanation:

Answer:

153/250

Step-by-step explanation:

I need to know 9 and 10

Answers

Answer:

x=36°

y=144°

Step-by-step explanation:

y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°

x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°

180°-144°=36°

hopefully this helps :)

(do not round the answer)what is
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Answers

Answer:

The answer is 5.9626436782

Write an equation for a line that passes through (0,0) and is parallel to a line that passes through (-5, 3) and (2, 1)​

Answers

Answer:

sorry i needed the points for school

Step-by-step explanation:

Cami starts with $7 and saves $13 each week.
Maggie starts with $11 and saves $13 each week. After how many weeks will Cami and Margaret have the same amount of
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Answers

Answer:

No matter how many weeks pass, they will never have the same amount of money. This is because their rate of change is the same. If Cami made more money per week than Maggie, then she would eventually be able to catch up and have the same amount of money as Maggie.

Find the slope and the y-intercept of this table. X 0 3 6 9 and y 4 6 8 10 ​

Answers

Answer:

Step-by-step explanation:

y = 2/3x+4

2/3 is your slope, if you do y2-y1/x2-x1. 6-4/3-0. 2/3

your y intercept is what y is when x is 0. so 4

Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that results if P is reflected in the x-axis, and translated 1 unit to the left and 3 units up.

Answers

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

Scientists have found that the relationship between the area of an island and the number of species can be modeled approximately by S=-3.404+103.2ln(A) S=−3.404+103.2ln(A), where AA is the area in km^2km 2 and SS is the number of species.

Answers

Answer:

[tex]A=e^{(S+3.404/103.2)[/tex]

Step-by-step explanation:

Step one:

we are told that the relationship between the number of species and the island area is given as

[tex]S=-3.404+103.2ln(A)[/tex]-----------------1

based on any given value for either area or number of species, we can find the other.

say we want to find the land area for a given amount of specie

Step two:

we first make area A subject of the formula.

[tex]S=-3.404+103.2ln(A)[/tex]

let us isolate   [tex]ln(A)[/tex]

[tex]S + 3.404 = 103.2ln(A)[/tex]

Divide both sides by 103.2 we have

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Now, exponentiate both sides using the base e.

[tex]A=e^{(S+3.404/103.2)[/tex]----------------2

for a given value of "S" we can find the area   A based on the above expression.

Eliza claims she can create an equation using these cards that has NO solutions. Axel says this is impossible—that every equation created with these cards will have a solution. Who is right?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

- 5 and 3 are zeros of quadratic function.

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: Sara took her two children out to lunch. Sara ordered a cheeseburger that cost $5.00 and her two children ordered pasta that cost $2.10 each. There is 10% sales tax. Calculate the total cost of the meal.

Answers

Answer:

15.45

Step-by-step explanation:

add everything together and divide by ten% and you should get 6.25 then you add 5.00, 2.10, 2.10, and 6.25 together to get 15.45

In chemistry class, Bob recorded the volume of a liquid as 17.7 mL. The actual volume was 17.1 mL. Use the formula to find percent error of Bob's measurement to the nearest tenth of a percent.

Percent Error =
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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

7 × 7 × 7 × 2 × 2

7³ × 2²

343 × 4

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The football team has a total of jerseys 20 There are 14 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

I think it's 70%.

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Answers

Answer:

74

Step-by-step explanation:

10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answers

Answer:

First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well

Step-by-step explanation:

Antonio has $74 to spend on video games. He buys one game for $46.90 and another game for $11. How much money will he have left over?

Answers

He will have $16.10 left.

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Answer:

=2 i think srry if i get it wrong

Step-by-step explanation:

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Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
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d.x/2=10

Answers

Answer:

b is the answer of this puestion

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A 68-year old retiree has a pension savings of $43,000, a 401k of $75,000, and an IRA account of $62,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 3% from the current total amount in his pension, 4% from the 401k, and 6% from the IRA. What is the highest amount that will be taken from a single account, including the penalty, if the retiree takes the money out now from each?

Answers

Answer:

The answer is the IRA

Step-by-step explanation:

If he takes out 2% from each account,  the highest penalty will be for the IRA account which is, 6% of 62,000 is $3,720. He will also take 2% of that 62,000 which will be $1,240. The total will be $4,960.

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I hope this answer helps.

Answer:

54280

Step-by-step explanation:

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59000-4720=54280

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Answers

Answer:

It's 144 units^2

Step-by-step explanation:

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Use synthetic division to solve (2x^3+4x^2-35x+15)/(x-3). What is the quotient?

Answers

Answer:

the quotient is 2x^2+10x-5

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Answers

Answer:

$0.05

Step-by-step explanation:

because he payed half of his sisters and it was $3.45 and plus his was $9.95 so he  got $0.05 back

Estimate 8 x 342 Jehhdhd

Answers

Answer:

2,736

Step-by-step explanation:

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