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

Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?

Answers

Answer:

11 months

Step-by-step explanation:

Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.

Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.

He needs $550, to the equation is:

50x=550

We need to isolate x, so we divide both sides by 50.

x=11

It will take Nate 11 months to save for the trip.

Answer:

11 months

Step-by-step explanation:

850-300=550

550÷50=11

Write down the next two numbers in the sequence.

81, 64, 47, 30, ___, ___

Answers

Answer:

81, 64, 47, 30, 13, -4

Answer:

The next two numbers are 13 and -4.

Step-by-step explanation:

We are subtracting 17 each time.

30 - 17 = 13

13 - 17 = -4

[EASY + BRAINLIEST] Find the slope-intercept equation of the line. PLEASE HELP!

Answers

Answer:

y = 1x + 2

Step-by-step explanation:

i just did this question on brainly but another person asked it.

Y=1x+3 or am I wrong

The measure of angle Q is 75 degrees. Find the measure of angle P

Answers

Answer:

m<P = 30°

Step-by-step explanation:

∆PQR has two equal sides. An isosceles ∆ has two equal sides and the angles opposite the two equal sides are congruent to each other.

Thus, we can conclude that ∆PQR is an isosceles ∆ with two equal base angles, <P and <Q.

Since m<Q = 75°, therefore, m<R = 75°.

m<P = 180 - (75 + 75) (sum of ∆)

m<P = 30°

A scale on a map shows that 2.5 centimetres represents 15 kilometres what number of actual kilometres are represented by 17.5 centimetres on the map

Answers

Answer:

105km

Step-by-step explanation:

From the above question, the scale is

2.5 cm = 15km

Therefore,

17.5 cm = x

We Cross Multiply

2.5cm × x = 15km × 17.5 cm

x = 15km × 17.5cm/2.5

x = 262.5/2.5

x = 105 km

Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.

pls help meh

solve equation:
5199x=399x
x both have to be the same number and they have to equal

Answers

The only solution here would be x=0. Multiplying 0 to both sides results in 0=0 which is technically correct.

Answer:

x=0

Step-by-step explanation:

i googled it

what is the least degree of a polynomial equation that has 3 (multiplicy of 4), -2, and 6i as roots

Answers

Answer:

-2

Step-by-step explanation:

help me find the perimeter plzzz!

Answers

Answer:

2m-4

Step-by-step explanation:

double both of them and just simplify

the first one will become (6m-12) and the second will become (-4m+8)

subtract 6m and -4m so it's 2m

subtract -12 and 8 so it's -4

so the answer is 2m-4

Answer:

B. 2m - 4

Step-by-step explanation:

When simplifying the expression (3m - 6) + (3m - 6) + (-2m + 4 ) + (-2m + 4) while trying to find the perimeter, you will find your answer to be 2m - 4.

Feel free to give brainliest.

Have a great day!

The domain for the equation y = 3x + 14 is listed below. Find the range for the given domain.
D:{-5,0,4}
R:

Answers

Answer:

R:{-1,14,26}

Step-by-step explanation:

The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:

Given: y=3x+14

When x=-5:

y=3(-5)+14

y=-15+14

y=-1 (this is the first point of the range)

When x=0:

y=3(0)+14

y=0+14

y=14 (this is the second point of the range)

When x=4:

y=3(4)+14

y=12+14

y=26 (this is the last point of the range)

Therefore, our range is R:{-1,14,26}

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

We have,

To find the range for the given domain of {-5, 0, 4} in the equation

y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.

When x = -5:

y = 3(-5) + 14

y = -15 + 14

y = -1

When x = 0:

y = 3(0) + 14

y = 0 + 14

y = 14

When x = 4:

y = 3(4) + 14

y = 12 + 14

y = 26

Therefore,

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

can we anbody help me with this

Answers

Answer:

The answer is A

Step-by-step explanation:

You can tell if you look at it closely. Sorry, no real explanation, but hope this helps

Monique said the equation y=8.5x represents her summer babysitting earnings where x is the number of hours worked and y is the amount of money earned. What is Monique’s hourly pay?

Answers

Answer:

8.5

Step-by-step explanation:

8.5 is the coefficient in front of x

solve for x 5x+2=17x-16

Answers

Answer:

x=1.5

Step-by-step explanation:

Answer: x = 18/12 or 3/2

Step-by-step explanation:

5x + 2 = 17x - 16

2 = 12x - 16

18 = 12x

18/12 = x

What is an equation of the line with a y-intercept of `-5` and a slope of -3/5?

Answers

Answer:

Step-by-step explanation: 5=-3/5 that is how it is written in slope form.

Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?

Answers

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

Estimate the measure of

Answers

Answer:

148°

Step-by-step explanation:

it is very close to the 150 line and the option closest to 150 is 148

The answer is 148 degrees
Hope this helps:)

Three items weighing 1.29 kg, 3.59 kg and 4.36 kg are to be posted but are found to be overweight. By how much does the total weight exceed the 8.74 kg limit?

Answers

1.29+3.59+4.36 >8.74 or 9.24>8.74 , 9.24-8.74=0.5. Your answer is By 0.5 kgs

Simple Inequalities:
2 <6
29
Which compound inequality and graph match the given simple inequalities?

Answers

I think it is the first option. hope this helps :)

En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Downtown y Midtown?

2.6 km
90 grados
2.1 km
1.5 km

Answers

C. 2.1km
Midtown esta exactamente a mitad de uptown y midtown entonces la distancia de uptown a midtown es igual a la distancia de midtown a downtown

4 workers can make 32 widgets in an hour how many widgets can five workers make in 90 minutes

Answers

Answer:60

Step-by-step explanation:

32 divided by 4 is 8 8 an hour per worker 90 mins is hour and a half 8 times 5 40 each person can make 4 in 30 min so 20

40+20=60

sorry i am a bad explainer

60 widgets can five workers make in 90 minutes.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

4 workers can make 32 widgets in an hour .

1 hour = 60 mint.

now,

4 workers work 60 mint. to make 32 widgets

so, 1 workers work 60 mint. to make =32/4

                                                             =8 widgets

1 workers work 1 mint. to make =8/60 widgets

i.e.  1 workers work 90 mint. to make =8*90/60 widgets

5 workers work 90 mint. to make =8*90*5/60 widgets

solving we get,

5 workers work 90 mint. to make =60 widgets

hence, 60 widgets can five workers make in 90 minutes.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represents the length of the actual peace of land. What is i

Answers

Answer:

52metre

Step-by-step explanation:

Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is

( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]

But we need to convert those mixed fractions to improper fraction for easy simplification

1 1/4= [(4×1)+4]= 5/2

3 1/4=[(4×3)+1)]=13/4

Then we can proceed with simplification as

(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]

But we were given length of the actual peace of land as 20 cm, then

(5/2)/(13/4)=[blueprint of the plot of land/20]

If we cross multiply we have

[blueprint of the plot of land] ×13/4 =5/2 ×20

[blueprint of the plot of land] =(5/2 ×20)÷(13/4)

= 50/(13/4)

=(4×13)/50

= 52

Therefore, the length of the actual peace of land is 52metre

Answer: B) 52 miles

Step-by-step explanation:

You purchased a computer for your business for $800 using straight line depreciation, the amount of depreciation allowed for each year after the purchase is given by the function f(x)= 800-114.29X what type of function can you used to model the data?

Answers

Answer:

this is a linear function

Step-by-step explanation:

y = a + bx

in this case:

y = 800 - 114.29x

where:

y = accumulated depreciation

x = number of years

year     accumulated          

(x)         depreciation (y)      

0          0                      

1          114.29              

2          228.58                  

3          342.87                

4          457.16                  

5          571.45                  

6          685.74                  

7          800                

What are the four types of slope

Answers

Answer:

Negative, positive, 0, undefined

Step-by-step explanation:

A negative slope is when a line is going down from left to right. A positive slope is when a line is going up from left to right. A slope of 0 is a horizontal line and an undefined slope is a vertical line. Hope this helps!

What is the definition of scale factor

Answers

Answer:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 . So, the scale factor is 4 .

Step-by-step explanation:

:D

Yeah whatever they said ^^^^^

Identify the domain of the rational function g(x)= 1/x-3

Answers

Answer:

Domain: (negative infinite, zero) U (0, infinite)

Range: ( negative infinite, -3) U (-3, infinite)

Step-by-step explanation:

I don't really know how to explain this because I can't use some symbols that are needed. But, yeah.

Help me with this problem

Answers

Answer:

D. SSS

Step-by-step explanation:

Both sides are shown equal and it shares a side so that side is equal. Side Side Side.

Answer:

SSS

Step-by-step explanation:

Triangles are congruent by SSS postulate of congruence.

WILL GIVE BRAINIEST IF RIGHT
(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?

A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.

Answers

Answer:

i dont ill tell u when im ready

Step-by-step explanation:

A. The shaded area in all three are equal

What is the equation of the line that passes through the point (4,8) and has a slope of 0?

Answers

Answer:

The answer is

y = 8

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]

We have the final answer as

y = 8

Hope this helps you

what is the answer so i can pass

Answers

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. En qué piso se quedó

Answers

Answer:

You are going to be in the 1st floor/Vas a estar en el 1er piso!

Yo creo que

Step-by-step explanation:

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction


please help

Answers

Answer:

negative StartFraction 2 Over 5 EndFraction

Step-by-step explanation:

2x +5y = 10

5y = - 2x + 10

y = - 2/5 x + 10

Equating it with y = mx + b

m = - 2/5

Answer:

-2/5

Cause i said so fools get the bread

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