Mathematics High School

What are the zeros of the function
f(x)=x^2-7x−30

Answers

Answer 1

Answer:

x = 10 , -3

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer 2

Answer:

-3 and 10

Step-by-step explanation:

[tex]f(x)=x^2-7x-30[/tex]

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

[tex]f(x)=(x+3)(x-10)[/tex]

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

Related Questions

A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.

Answers

Answer:

[tex]P(CD) = \frac{1}{10}[/tex]

Step-by-step explanation:

Given

[tex]AK = 10[/tex]

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

[tex]CD=D-C[/tex]

[tex]CD=3 - 2[/tex]

[tex]CD = 1[/tex]

So:

[tex]P(CD) = \frac{CD}{AK}[/tex]

[tex]P(CD) = \frac{1}{10}[/tex]

what the answer to this math problem

Answers

The answer is 4.4. C.


1
-0.4 3 0 8 I have to show all my work this question

Answers

Answer:

0.5462

Step-by-step explanation:

I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

solve the equation :)

Answers

12e=-12
e=-1 is the final answer

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}
​

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?

2.14%

2.18%

12%

46.83%

please hurry I am being timed !!

Answers

Answer: 2.18 %

Step-by-step explanation: error is (5,62-5,5) / 5,5 = 2.18

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

Question 2 (1 point)
The length of the missing leg =
Round your answer to the nearest tenth.
11
3.9

Answers

Answer: I think it 4, but there is no triangle

Step-by-step explanation:

a long distance phone charge of $1.40 for 10 min or 4.50 for 45 min. which is better

Answers

Answer: $4.50 for 45min is better.

Step-by-step explanation:

The fee per min for phone charge of $1.40 for 10 min: 1.40/10 = $0.14/min

The fee per min for phone charge of $4.50 for 45 min: 4.50/45 = $0.1/min

$0.14/ min > $0.1/min

4.50 for 45min is better.

A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%

Answers

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

work out 11. 28- 2.843​

Answers

Answer:

25.157

Step-by-step explanation:

28-2.843=25.157

the perimeter of a square mat is 64 in. how long is each side?​

Answers

Answer:

16

Step-by-step explanation:

4x16=64

being perimeter

Hiking boots cost $108.35. There is a 7.25% sales tax. What is the total cost of the boots?

Answers

Answer:

Hope this helps!

Step-by-step explanation:

How the sales tax calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

Answer: $116.21

Step-by-step explanation:

$108.35 + $7.86(tax) = $116.21

A gallon of paint covers 20 ft of surface area. How many revolutions can an 8 in, wide paint roller with a diameter of 3 in make before using up a 5.
gal can of paint?
A about 127
B about 382
C about 600
D about 191

Answers

Answer:

D. about 191 ayan ang answer d.

Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?

Answers

Answer:

Nope. Does not satisfy pythagoras theorem

Step-by-step explanation:

72 squared does nit equal 45 squared plus 56 squared

What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared

Answers

Answer:

51 in.

Step-by-step explanation:

:]

Answer:

124 inches square

Step-by-step explanation:

First area of that rectangle 20×5 = l×b = 100

Second area of that triangle 6×8×1/2 = 24

Third add both rectangle+triangle=100+24=124

Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?​

Answers

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j

Answers

B) j ÷ 9
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
B. Because u divide then multiply

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.
​

Answers

Answer:43.1

Step-by-step explanation:

Answer:

x=18.5

Step-by-step explanation:

\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=

LJ

KL

​

=

\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}

OM

NO

​

\frac{Blue}{Red}=\frac{Blue}{Red}

Red

Blue

​

=

Red

Blue

​

\frac{58}{43}=

43

58

​

=

\,\,\frac{25}{x}

x

25

​

Substitute

58\cdot x=

58⋅x=

\,\,25\cdot 43

25⋅43

Cross Multiply

58x=

58x=

\,\,1075

1075

Multiply

x=

x=

\,\,18.534482...

18.534482...

Divide

x\approx

x≈

\,\,18.5

18.5

The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of adults in the United States who now use the internet? Assume we want to be 99% confident that the sample percentage is within 2 percentage points of the true population percentage.
a) Assume that nothing is known about the percentage of adults using the internet.






b) Assume it was estimated that 72% of adults in the United States use the internet.

Answers

Out of those 2 answers I believe your answer would be B only because 81% of Americans in the us have a phone and 35% of people in the us check there phone more than 50 times per day

what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?

Answers

Answer:

The diameter is 6

Step-by-step explanation:

the answer is 6.....

(3+7i)+(-5+2i)-(-7+6i)

Answers

i believe that the answer to your question is 5 + 3 i?

5b2+28=
b=1.5
PLEASE HELP ME!!!

Answers

if b is 1.5 then sub it into the equation
5(1.5)(2)+28
=15+28
=43

Answer:

39.25

Step-by-step explanation:

I am assuming that 5b2 means 5b to the power of 2.

5(1.5)^2+28

5(2.25)+28

11.25+28

39.25

Pls help it’s due soon and I’m failing :(

Answers

Answer:

Slope is 2/3

Y-intercept is (0, 0)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = 2/3x

Answer:

Slope is 2/3

y intercept is 0

Step-by-step explanation:

The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)

Answers

The value of the quotient of 50 and 5 subtracted from 20 that can be given as 10.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Firstly, we have the quotient of 50 and 5. This can be written as

[tex]\dfrac{50}{5}[/tex]

And we know that this can be written as 10.

Now we subtract it from 20. Then we have the number 20 and we subtract 10 from it. Then it can be written as

20 - 10

On subtracting, we have

20 - 10 = 10.

More about the subtraction link is given below.

https://brainly.com/question/4319655

Which postulate, if any can be used to prove the triangles congruent

Answers

Answer:

sss

Step-by-step explanation:

Given the 2 similar triangles, what is the length of LK?

Answers

Answer:

7.5

Step-by-step explanation:

the term similar triangles means they have the same angles and the same scale factor so if we look at rs and jl you see they are 12 and 6. thats is a scale factor of .5 so you take 15 and multiply it by .5 or you can divide it by 2.

1,5,9,13. what's the 8th 13th 17th and 23rd term​

Answers

Answer:

8th 29

13th 53

17th 69

23rd 91

The height of a cone is 6 centimeters and the volume is 150 pi. Find the radius of the cone.

Answers

Answer:

4.89

Step-by-step explanation:

Equation for radius of a cone is

R= square root of 3 * v/ pi *h

R= Square root of 3 * 150/pi *6

R= 4.886025119

= 4.89

I hope its right. Hope it helped.

Answer:

r = 4.89

I don't know how to right my explanation but that's the answer.

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