A function is shown: f(x) = 16x2 − 1.

Choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)

Answers

Answer 1

The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

How to determine the equivalent function?

The function is given as:

f(x) = 16x^2 - 1

Express 16 as 4^2 and 1 as 1^2

f(x) = (4x)^2 - 1^2

Apply the difference of two squares

f(x) = (4x  + 1)(4x -1)

Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x  + 1)(4x -1)

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Related Questions

In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)

Answers

Answer:

the answer is 2000 so yea

complete the process of solving the equation 5t+8=63 subtract 8 from both sides of the given equation

Answers

Answer:

t=11

Step-by-step explanation:

so to start we subtract 8 from both sides to get...

5t=63-8

5t=55

now we just divide 5 from both sides so we just have t

t=11

Answer:

t=11

Step-by-step explanation:

Subtract 8 from both sides to get 5t=55 then divide by 5 to get t=11

please solve for me. please be correct

Answers

given ,

x/12 = -4

=> x = -48

Hope it helps you.
Answer: x=-48.

The answer to x is -48. Hope this helps!

What is the solution to the system of equations below? y = negative four-fifths x 6 and y = –30 (45, –30) (–30, 30) (–30, 45) (30, –30)

Answers

The solution to the system of equations is (45, –30)

How to determine the solution to the system of equations?

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

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Answer:

(45, –30)

Step-by-step explanation:

Simple probability maze

Answers

To solve a simple probability maze calculate the probability in each situation and move through the maze based on these answers.

What is simple probability?

This refers to the chances an event happens out of the total outcomes or number of favorable events/ total events.

How to solve a simple probability maze?

In this type of maze, you are requested to find the probability of different events and based on this, you can follow a specific pattern to get out of the maze. Due to this, to solve the maze:

Calculate the probability of the first event. For example, the changes of rolling a 6 on the dice. 1 /6 (the dice has 6 sides) = one sixth or 0.166.Now that you have the correct answer move through the direction of that answer, which will take you to another situation.Keep calculating the probabilites and moving based on the answers.

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Somebody please help me on this

Answers

Answer:

36

Step-by-step explanation:

unknown angle = given angle - 360 because a full circle is 360°

so unknown angle "n" = 360 - 324 = 36

I need help pleaseeee

Answers

maybe A i’m not exactly sure

PLS ANSWER FOR MEEEE FAST TYYYYSMM

The following sphere has. A diameter of 18 cm.

Answers

Answer:

I think your answer is A, correct me if I'm wrong

please tell me the answers of. the question please ​

Answers

Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

100 books x 80 rupees8000 rupees

Money earned (after donation and sales) :

Donated 10 books = 0 rupeesSold rest at 88 rupees per book90 books x 88 rupees7920 rupees

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

Loss % = New - Old / OldLoss % = 7920 - 8000 / 8000Loss % = -80/8000Loss % = -1/100

The loss percentage is 1%

PLS HELP ITS MATH I DONT UNDERSTAND

Answers

Answer:

that would be 12

Step-by-step explanation:


62 - 50 = 12

X = 12

Answer:

that is 12

Step-by-step explanation:

u have to subtract 62 - 50 to get 12

That way

X = 12

Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm

Answers

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

use Demoiure's Theorem to find (-2-2√3i)³

Answers

Let z = -2 - 2√3 i.

Find the modulus of z :

|z| = √((-2)² + (-2√3)²) = √16 = 4

Find the argument of z (note that z lies in the third quadrant):

arg(z) = arctan(2√3/2) - π = arctan(√3) - π = -2π/3

Then in polar form, we have

[tex]z = -2 - 2\sqrt 3\, i = 4 \exp\left(-i\dfrac{2\pi}3\right)[/tex]

By DeMoivre's theorem, the cube of z is

[tex]z^3 = \left(4 \exp\left(-i\dfrac{2\pi}3\right)\right)^3 = 4^3 \exp(-i 2\pi) = \boxed{64}[/tex]

Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value
of p if KL ILM.

How do I solve this question?

Answers

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

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Help me quick!!!!!!!!!!!!!!

Answers

Answer: 2.99914cm Rounds up to 3

Step-by-step explanation:

Select all ordered pairs that correspond to input-output pairs for the function y = 3x - 2.

(-2, 0)
(-1, -5)
(0, -2)
(2, 3)
(-3, -11)

Answers

Answer:

(-1, -5)

(0, -2)

(-3, -11)

Step-by-step explanation:

y = 3x - 2.

→ 3×(-2)-2=-8 ≠0 ⇒(-2, 0) doesn’t correspond to input-output pairs for the function

→ 3×(-1)-2=-5 ⇒(-1, -5) corresponds to input-output pairs for the function

→ 3×(0)-2=-2 ⇒(0, -2) corresponds to input-output pairs for the function

→ 3×(2)-2=4≠3 ⇒(2, 3) doesn’t correspond to input-output pairs for the function

→ 3×(-3)-2=-11 ⇒(-3, -11) corresponds to input-output pairs for the function

pls help and thank you ​

Answers

Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

A line passes through the point , (−3, -4) and has a slope of 3. Write an equation in slope-intercept form for this line.

How do I solve this?

Answers

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!

The diameter of a pipe is 6 cm. If the pipe is 35 cm long, what is its volume?
Use the value 3.14 for 7, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

I can't solve it.

Step-by-step explanation:

If f(x) = 6x-6, find x when f(x) = 36.

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

given f(x) = 6x - 6 and f(x) = 36 , then equating gives

6x - 6 = 36 ( add 6 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

True or False: A sector of a circle with a measure of 72° and radius of 12 cm has an arc length of about 15cm.
O True
O False

Answers

Question 1 True or False: A sector of a circle with a measure of 72 and radius of 12 cm has an arc length of about 15cm. True O False

Step-by-step explanation:

its false

The given statement about the sector of the circle is true.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre. A circle is also the set of all points that are equidistant from the centre.

Given that we need to check whether a sector of a circle with a measure of 72° and radius of 12 cm has an arc length of about 15cm, or not,

Arc length = central angle / 360° × 2π × radius

= 72/ 360° × 2(3.14) × 12

= 0.2 × 6.28 × 12

= 15.072

≈ 15

Therefore, yes the sector of a circle with a measure of 72° and radius of 12 cm has an arc length of about 15cm.

Hence, the given statement about the sector of the circle is true.

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What is the answer please?

Answers

Answer: B (middle option)

Congruent; a counterclockwise rotation of 90° followed by a translation

Step-by-step explanation:

Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.

4 ÷ 5/7 Give your answer as a mixed number in its simplest form.

Answers

Answer:

5.6

Step-by-step explanation:

4 ÷ 5/7

is 4 divide 5 over 7

which is 5.6

An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590​

Answers

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

The measurement of an angle is 40°, and the length of a line segment is 8 centimeters.

Answers

Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. if she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red? 0 startfraction 1 over 11 endfraction three-fourths 1

Answers

Because there are no red marbles on the bag, we will see that the probability is zero.

How to find the probability?

We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.

The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).

Then we can write the probability as P = 0.

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Answer: 0 enjoy

Step-by-step explanation:

There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?

Answers

The answer is 638 cause 914-276 is 638

Answer:

638 students.

Step-by-step explanation:

girl this is basic math i don’t  think i need to explain

what is the volume of 480in

Answers

Answer:

please check the question, it is not straight forward

Will mark brainlist to whoever answers first
(3).

Answers

Answer:

70

Step-by-step explanation:

in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,

m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70

Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.

Answers

Answer:

It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.

Step-by-step explanation:

Answer:

I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.

Step-by-step explanation:

What is the answer of 11 6/9 - 4 4/9

Answers

Answer:

[tex]7 \frac{2}{9} [/tex]

Step-by-step explanation:

here is your answer

Calculation steps:

[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]

[tex] = (14 - 4) + ( \frac{6}{9} - \frac{4}{9} )[/tex]

[tex] = 7 + \frac{6 - 4}{9} [/tex]

[tex] = 7 + \frac{2}{9} [/tex]

[tex]7 \frac{2}{9} [/tex]

given:

[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]

solution:

[tex]11 \frac{6}{9} - 4 \frac{4}{9} [/tex]

[tex] = \frac{35}{3} - \frac{40}{9} [/tex]

[tex] = \frac{(35 \times 9) - (40 \times 30)}{3 \times 9} [/tex]

[tex] = \frac{315 - 120}{27} [/tex]

[tex] = \frac{195}{27} [/tex]

[tex] = 7 \frac{2}{9} [/tex]

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