Mathematics High School

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

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

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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

Estimate 8 x 342 Jehhdhd

Answers

Answer:

2,736

Step-by-step explanation:

Write the product of 7×2×7×2×7 in exponential form

Answers

Answer:

7³ × 2²

Step-by-step explanation:

7 × 7 × 7 × 2 × 2

7³ × 2²

343 × 4

1372

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

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?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10

Answers

Answer:

b is the answer of this puestion

A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2

Answers

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

URGENT PLEASE HELP PLEASE

Answers

Answer: I believe the answer is A.

Explanation: hope this helps

(do not round the answer)what is
A. 3.48g+8.62=29.37 ​

Answers

Answer:

The answer is 5.9626436782

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%.

cordenadas cartesianas​

Answers

what is this for ? is this spanish or what can u specify

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.

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.

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

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

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.

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
money?

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.

: 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

0.612 as a simplified fraction ​

Answers

Answer:

153/250

Step-by-step explanation:

Answer:

153/250

Step-by-step explanation:

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:

axel

Step-by-step explanation:

Kole and his sister ordered ice cream. He spent $6.50 for his sundae. She ordered the same sundae with sprinkles, which were an extra $0.40. Kole pays for his ice cream and half of his sisters with $10. How much change will he get back?

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

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:

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

what is the nearest integer of 3^ square root 74

Answers

Answer:

74

Step-by-step explanation:

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 =
|Experimental Value − Actual Value|
Actual Value
× 100

Answers

Hit how are you doing sir?

Help rn please!! Urgent

Answers

Answer:

x² + 2x - 15 = 0

Step-by-step explanation:

- 5 and 3 are zeros of quadratic function.

(x + 5)(x - 3) = 0

x² + 2x - 15 = 0

i would really really appreciate some help on this... brainliest to whoever can help?..

Answers

Answer:

=2 i think srry if i get it wrong

Step-by-step explanation:

Ohhhh I just finished learning this!!!

First one:
x = 12

Second one:
x = 3

Third one:
x = 2

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!

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

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.

For the 401k account the withdrawal is $1,500 and the penalty is $3,000. That is $460 less than the IRA account.

I hope this answer helps.

Answer:

54280

Step-by-step explanation:

2+6=8

.08 * 59000=4720

59000-4720=54280

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:

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 :)

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

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