Find the zeros of the function f (x) = 4x^2-16

Answers

Answer 1

Answer:

x=-2

x=2

Step-by-step explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

[tex]4x^2=16[/tex]

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2


Related Questions

Brennan, a farmer, orders a large box of ladybugs to control pests in his greenhouse. To make sure that he was shipped as many ladybugs as he ordered, he decides to figure out approximately how many ladybugs there are in the box. He catches 30 ladybugs, marks them with special paint, and returns them to the box. Then a little while later, he catches 390 ladybugs and counts 13 marked ladybugs among them. To the nearest whole number, what is the best estimate for the ladybug population

Answers

Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Determine if (3,2) is a solution to the equation y = -x + 1

Answers

Answer:

The left side 2 does not equal to the right side − 2 , which means that the given statement is false. False

Step-by-step explanation:

Hopefully this helps :)

How many roots does the following parabola have?

Answers

Answer:

I think 2

Step-by-step explanation:

I think 2 tell me if I'm wrong

Kevin bought a package of 24 colored pencils for his art class. The package cost $23.28. how much did he pay for each pencil?

Answers

Divide total price by number of pencils:


23.28 / 24 = $0.97 per pencil

Brainy reward help me pls

Answers

Answer:

[tex]\sf \dfrac{2}{3} \ is \ the \ change \ per \ minute \ in \ the \ amount \ of \ water.[/tex]

explanation:

[tex]\sf unit \ rate : \dfrac{y_1-y}{x_1-x}[/tex]

[tex]\sf unit \ rate : \dfrac{7-5}{3-0}[/tex]

[tex]\sf unit \ rate : \dfrac{2}{3}[/tex]

Answer:

-2/3 gallons/min

Step-by-step explanation:

let x = time in minutes

let y = volume of water in gallons

when x = 0, y = 7

when x = 3, y = 5

[tex]\mathsf{rate \ of \ change \ = \dfrac{change \ in \ y}{change \ in \ x}=\dfrac{7-5}{0-3}=-\dfrac23 \ gallons/min}[/tex]

if a length of a square is 3.2 cm square what is the perimeter and area​

Answers

Since all of a squares sides are the same length, we can use 3.2 cm in the following equations:

P= 2L + 2W and A= L x W

P= 2(3.2) + 2(3.2) which is the same as P= 4(3.2)

P= 12.8 cm

A= 3.2 x 3.2
A= 10.24 cm^2

The diameter of a circle is 10 in .find the cirumference to the nearest tenth

Answers

Answer:

C ≈ 31.4 in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 10 ≈ 31.4 in ( to the nearest tenth )

Find each missing measure. Round to the nearest tenth if necessary

Answers

Answer:

1 =68

2=68

3=125

Step-by-step explanation:

1.all interior angles adds up to 180:

180-39-73=68

2. opposite angles are equal so angles 1 and 2 are opposite therefore they are equal.

3. the sum of angles in a quadrilateral adds up to 360. so 360 - 90 - 68 -77= 125

Pls help!! Find the average rate of change of the function given over the interval

Answers

We need slope

(0,2)(-4,3)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{3-2}{-4-0}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{1}{-4}[/tex]

Hey, I am a student and I am taking algebra 1 regents . Can someone help me with my question below and explain how you got your answer? can you also let me know how to do ti-84 and ti nspire calc? I am using the ti nspire at school and ti-84 at home.

Here's the question :

On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?

Answers

Answer:

65

Step-by-step explanation:

31, 6 = 37 t3 rows  and  6 seats so its going up 2 every row so you need 14 rows after row 6 so 14 x 2 + 37 = 65 seats

Common difference

(37-31)/(6-3)6/32

Row 2 has 29 seats

Row 1 has 27 seats

First term =27

Seats on row 20

27+19(2)27+3865

Jonell has finished 20% of an art project that has taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

coins

Answers

Answer:

12 hours

Step-by-step explanation:

The shaded part of the circle below represents the portion of a garden where a landscaper planted rose bushes. What is the approximate area of the part of the garden used for rose bushes? ​

Answers

Answer:

942ft^2

Step-by-step explanation:

Use the equation (θ/360)*[tex]\pi[/tex][tex]r^{2}[/tex] to get the area of the shaded sector.

(120/360)*[tex]\pi[/tex]*[tex]30^{2}[/tex]

(1/3)*[tex]\pi[/tex]*900

≈942[tex]ft^{2}[/tex]

The area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle shown in the picture.

The area of the shaded region:

[tex]\rm A = \dfrac{120}{360}\pi (30)^2[/tex]

A = 942.47 ≈ 942 square ft

Thus, the area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.

Learn more about circle here:

brainly.com/question/11833983

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Can somebody please help me please please please asap?

Answers

Answer:

Step-by-step explanation:

can someone help me please I didn't understand ​

Answers

Answer:

ok so

Step-by-step explanation:

you would go through the answers and determine the answer by trying to imagine those answers at the end of the problem and which ever one matches up will be the answer

PLEASE MARK ME AS BRAINLIEST

Jack works at a party supply store. He sold 720 balloons in the last 16 days. What was his selling rate in balloons per day?

Answers

Answer:

he was selling balloons 45 / day

Step-by-step explanation:

sold 720 ballons in 16 days.

What was selling rate in balloons per day?

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

number of balloons ÷ number of days720 ÷ 1645 balloons/day

If 1 in every 4 pickles contains the word DILL, what
percent of the pickles should be winners?

Answers

Answer:

25%

-step explanation:

1/4*100%=25%
Hope It Helps
Brainliest pls:)

Write the fraction as a percent.


1/10
please help

Answers

Answer: the answer is 10%

Step-by-step explanation: 1/10. You have to get the denominator to 100 so, you would x10 the debonair. You do the same to the top and get 10/100. So, 10%

Answer:

10%

Step-by-step explanation:

So if 100% is one then what 100/10?

Identify the percent in 12 is 50% of 24

Answers

Answer:

50 percent of 24 is 12. 3.

Step-by-step explanation:

50 percent *24

= (50/100)*24

= (50*24)/100

= 1200/100 = 12

Now we have: 50 percent of 24 = 12

Question: What is 50 percent of 24?

We need to determine 50% of 24 now and the procedure explaining it as such

Step 1: In the given case Output Value is 24.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 24 = 100%.

Step 4: In the Same way, x = 50%.

Step 5: On dividing the pair of simple equations we got the equation as under

24 = 100% (1).

x = 50% (2).

(24%)/(x%) = 100/50

Step 6: Reciprocal of both the sides results in the following equation

x%/24% = 50/100

Step 7: Simplifying the above obtained equation further will tell what is 50% of 24

x = 12%

Therefore, 50% of 24 is 12


Choose TWO correct answers from the 5 choices.
Need answer ASAP thank you!

Answers

C- (-5,-10) and E- (-8,-6)

please help with this as well please

Answers

Answer:

the answer is 28 feet

Step-by-step explanation:

hdhbsn

Daina gives 2/3 of his money to Carol. Carol gives 6/7 of this money to Zak.
What fraction of Daina's money does Zak get?

Answers

2/3 x 6/7 = 12/21 = 4/7
Answer = 4/7

A cartographer is painting a spherical globe whose surface is 326. 7 sq. In. What is the maximum radius of the globe that the cartographer is painting? Use 3. 14 for π. 5. 1 in 4. 3 in 26. 0 in 13. 1 in.

Answers

Answer:

5.1 inches

Step-by-step explanation:

Need help finding the coordinate rule

Answers

Answer:

(x,y) --> (x+5, y)

Step-by-step explanation:

You are moving the image 5 units to the right so you would add 5 to each x coordinate.

What is the decimal equivalent of 1/3?

A. 3.1

B. 1.3
_
C. 0.3

D. 0.3

Answers

Answer: C.  0.3

Step-by-step explanation:

To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:

= 1/3

= 1 ÷ 3

≈ 0.3333333

Therefore, the solution to 1/3 as a decimal is as follows:

1/3 ≈ 0.3333333

Answer:

0.3

Step-by-step explanation:

Use “Bus stop” long division.

1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”

3|1.000

How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:

3|0.1000

0

So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.

3|0.0100

0.3

How many 3s go into 10? 3 again, remainder 1.

3|0.0010

0.33

This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,

1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.

1/3=0.3

I HOPE THIS HELPED YOU.

What is the period of the function f(x) shown in the graph?

Enter your answer in the box.

Answers

period (T): the time it takes to travel one wave

= 2π - (-10π)

= 12π

Hi can you please help me out

Answers

Answer: i thinks its C

Step-by-step explanation:

For problems 8-10, evaluate the expression if a = 4, b = 6, and c = 10.

Answers

Answer:

[8] 3

[9] 12

[10] 64

Step-by-step explanation:

[8] [tex]\frac{5(6)}{10}[/tex] = 3

[9] [tex]\frac{1}{2}(4)(6)[/tex] = 12

[10] [tex]4(6+10)=[/tex]64

[RevyBreeze]

Answer:

Hope this helps you..please follow + Mark me as brainlist

A principal becomes an amount of 1080 in one year at the rate 8% per annum. What is the principal ? ​

Answers

Question :-

A Principal becomes an Amount of Rs. 1080 in 1 year at the Rate 8 % per annum . What is the Principal ?

Answer :-

Principal is Rs. 135 .

Explanation :-

As per the provided information in the given question, we have been given that the Amount is Rs. 1080 , Time Period is given 1 year , Rate of Interest is 8 % . And, we have been asked to calculate the Principal .

For calculating the Principal , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Simple \: Interest \: = \: \dfrac{P \times R \times T}{100} \: }} \\ [/tex]

Where ,

P denotes to the PrincipalR denotes to the Rate of InterestT denotes to the Time Period

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \sf{Simple \: Interest \: = \: \dfrac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 \: \times \: 1}{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 }{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8 \times 1} } \\ [/tex]

[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8} } \\ [/tex]

[tex] \longmapsto \: \: \textbf {\textsf {Principal \: = \: Rs. \: 135 }} \\ [/tex]

[tex] \underline {\rule {200pt} {4pt}} [/tex]

The principal amount of 1080 in one year at the rate of 8% per annum is 135.

What is the principal rate of the Simple Interest?

Simple interest is the credit of income associated with a deposit or an investment.

The formula for calculating the simple interest is:

[tex]\mathbf{S.I = \dfrac{P \times R \times T}{100}}[/tex]

where:

S.I = simple interestP = principal R = rate T = time

Making the principal the subject from the simple interest, we have:

[tex]\mathbf{P = \dfrac{100 \times S.I}{R \times T}}[/tex]

[tex]\mathbf{P = \dfrac{1080}{8 \times 1}}[/tex]

P = 135

Therefore, we can conclude that the principal amount of 1080 in one year at the rate of 8% per annum is 135.

Learn more about the principal amount of an investment here:

https://brainly.com/question/25545513

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im back fellow humans..pls help

Answers

Answer:

-2, -10, and -3

Step-by-step explanation:

-2, -10, and -3 are all colder than -1.

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

a , d , e

Step-by-step explanation:

 

if one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar​

Answers

Answer:

Step-by-step explanation:

£63 = 135 × 63

       = Rs . 8505

Rs . 8505 = 8505 / 105

                 = $81

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