Solve the following quadratic function
by utilizing the square root method.
y = 64-16x²
X = = + [?]
Please help me

Solve The Following Quadratic Functionby Utilizing The Square Root Method.y = 64-16xX = = + [?]Please

Answers

Answer 1

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

x = ±2


Related Questions

Choose the correct answers:
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured. Also injured in the accident is a pedestrian, Sam Dicson. Albert's medical expenses total $12,000, Sam's come to $8,000. How much will the insurance pay?

a. for Albert ____

b. for Sam _____

c. total ____

Answers

The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.

What is Insurance?

Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.

Here,

For this case, what you should know is that Sue Jones insurance covers half of the expenses.

Equivalently, her insurance covers:

                                     10/20 = 1/2 = 0.5

Therefore, we have then that

a. for Albert

0.5 * (12000) = $ 6000

b. for Sam

0.5 * (8000) = $ 4000

c. total

The sum of the results of parts a and b

$ 6000 + $ 4000 = $ 10,000

Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000

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Under what condition,the determinant of a matrix is possible?​

Answers

Answer:

There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.

Step-by-step explanation:

The volume of this right prism is 2,500 ft³. What is the height, x, of the prism? x = ft

Answers

The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

From the figure:

Volume = 2500 cubic ft

(10)(x)(25) = 2500

250x = 2500

x = 10 ft

Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.

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(04.01) Which of the following best defines 4^2/3
O Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16​

Answers

Answer:

Cube root of 16​

Step-by-step explanation:

x^m/n =n/x^m

4^2/3 = 3/4^2=3/16

So it is Cube root of 16​

Hope This Helped

If anyone is good at grade 8 math problems pls help answer these questions thanks!! :DD

WILL MARK BRAINLIEST TO WHOEVER CAN ANSWER THIS CORRECTLY!!!!

Answers

Answer:

53 Meters.

Step-by-step explanation:

34*34 + 41*41 = 2837.

1156 + 1681 = 2837.

The square root of 2837 would be your answer.

34*34 + 41*41 = 53.26349 * 53.26349

a*a + b*b = c*c.

a² + b² = c².

Answer:

21.74

Step-by-step explanation:

AC^2 = AB^2 + BC^2

AC^2 = 34^2  +  41^2

AC^2 =  1156 + 1681

AC^2 = 2837

AC     = Square root of 2837

AC     =  53.26..

meters saved by walking through the pond = (AB+BC)-53.26

=>  (34+41)-53.26

=>   75 - 53.26

=>    21.74

hope this helps:)


Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3
kid's meal for his little brother. Charlie has $27. How much can he spend on
each sandwich if they are all the same price?

Answers

He can spend 4 dollars on each sandwich cause 27-3(the kids meal) =24 24 divided by 6=4. 4 being the amount per sandwich!
$4 per sandwich
$27 - $3 for the kids meal leaves $24
$24 divided by the number of sandwiches ( 24/6) leaves how much is spent per sandwich
24/6= $4.

What is the value of 4 in 27.43?

Answers

Answer: Tenths

Step-by-step explanation:

4 tenths
If you were to draw a place value chart, it would look like this:

T O . ths hths

2 7 . 4 3

The answer is 4 tenths.

1. Simplify .........​

Answers

Answer:

Pretty sure it would be sin(0) cos (0) - sin^2(0)

Which expression represents the growth of an investment of $8,000 at 7.5% per year for a period of t years? 8000(1.075t) 8000(1.075)t 8000(0.075)t

Answers

Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Find x, rounding to the nearest tenth (one decimal place)

Answers

Answer:

x= 27.5

Step-by-step explanation:

Classify the triangle by its sides and by its angles

Answers

Answer:

Scalene obtuse.

Step-by-step explanation:

Scalene means that none of the sides are the same.  You can tell by looking at the triangle that none of the sides are the same.  An obtuse triangle is a triangle with one obtuse angle.  It is a close call between obtuse and right, but I believe that I can definitely say that the angle is a little more than 90 degrees, and is therefore obtuse.

Consider two circular swimming pools. Pool A has a radius of 18 feet, and Pool B has a diameter of 11.16 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters


The diameter of Pool A is
17.24
meters. So, the diameter of Pool
A
is greater, and the circumference is
greater
by
meters.

Answers

Answer:

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters

Step-by-step explanation:

Identify the diameter of Pool A.

d = 2r

d = 2(18) Substitute 18 for r.

d = 36 ft

Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.

36 × 0.305 = 10.98

The diameter of Pool A is about 10.98 meters.

Use the formula to find the circumference of Pool A.

C = πd

C = π(10.98) Substitute 10.98 for d.

C ≈ 3.14(10.98) Substitute 3.14 for π.

C ≈ 34.48 Multiply. Round to the nearest hundredth.

The circumference of Pool A is about 34.48 meters.

Identify the diameter of Pool B.

d = 11.16 m

The diameter of Pool B is 11.16 meters.

Use the formula to find the circumference of Pool B.

C = πd

C = π(11.16) Substitute 11.16 for d.

C ≈ 3.14(11.16) Substitute 3.14 for π.

C ≈ 35.04 Multiply. Round to the nearest hundredth.

The circumference of Pool B is about 35.04 meters.

The circumference of Pool B is greater than the circumference of Pool A.

Find how much greater the circumference of Pool B is compared to the circumference of Pool A.

35.04 − 34.48 = 0.56

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.

#1 Find each angle measure in the triangle. 3x⁰ 2x° 4x° The measure of the angle labeled 2xº angle labeled 3x° is Previous K °. The measure of the . The measure of the angle labeled 4x° is S Next
you have to answer it in less then 6 minutes
please ​

Answers

3x° is 60° , 2x° is 40° and 4x° is 80°

How to determine the angles

Note that the sum of angles in a triangle is 180°

Solve for x in the triangle

Then,

3x° +2x° + 4x° = 180°

Add the x°

9x° = 180°

Divide both sides by 9

x° = 180÷ 9 = 20°

If x° = 20

Then 3x° = 3× 20 = 60°

2x° = 2 × 20 = 40°

4x°= 4× 20 = 80°

Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°

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Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k

Answers

Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:

The function is shifted h units to the right.The function is shift k units up.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we consider the parent cube root function as follows:

[tex]y = \sqrt[3]{x}[/tex]

Then, these following changes happened:

x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.

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Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D

Answers

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

What are vertical angles?

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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Calculate the amount of $4480 at 8% interest per annum for 3 years

Answers

Answer:

$5555.20

Step-by-step explanation:

F = P + I

I = Prt

I = $4480 × 0.08 × 3 = $1075.20

F = $4480 + $1075.20

F = $5555.20

The polynomial function p(x)=x3−4x2+ax+20 has (x+1) as one of its factors.

What would be the remainder when p(x) is divided by (x+2)

Answers

The remainder when p(x) is divided by (x+2) is; -79.

What is the remainder when p(X) is divided by (X+1)?

Since one of it's factors is (x+1), it follows that P(-1) = 0.

Hence; 0 = (-1)³ -4(-1)² -a +20

a = 15.

Hence, the polynomial is; p(x)=x3−4x2+15x+20

The remainder when p(x) is divided by (x+2) is;

p(-2) = (-2)³ -4(-2)² + 15(-5) +20

p(-2) = -8 -16 -75 +20

p(-2) = -79.

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what are the coefficients of the expression 7x-4x2?

Answers

Answer:

Coefficients: 7, -4.

Step-by-step explanation:

In the expression 7x-4x^2, the terms are 7x and -4x^2. There are no constants here, which would just be a number by itself. Coefficients are integers written alongside or multiplied by the variable.

In this expression, the variable x has two coefficients (one per term). These are 7 and -4.

Answer:

7

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

the dimensions of a high school football field are represented by a width of 2x - 40 feet and a length of 3x + 60 feet

what expression represents the binomial factors you would multiply to find the area of the football field?

Answers

Answer: 6x^2-2400
(WORK SHOWN BELOW)

What is the median pumpkin weight?

Answers

Answer:

median = 15

Step-by-step explanation:

By reading the box plot :

The median is the number that corresponds to the line in the center of the box which is 15 in our case.

Question 3
the stock market crash of 1929 saw many share prices collapse to a fraction of their previous value. the worst period for this were the two
days monday, october 28 and tuesday, october 29 in which the dow jones industrial average dropped by a total of 25% to a value of 198
points. what was its value before the 2-day drop?

Answers

Using proportions, it is found that it's value before the 2-day drop was of 264 points.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the value dropped by 25%, that is, it was 75% of the original amount, and the dropped value was of 198 points, hence the original amount was:

0.75x = 198

x = 198/0.75

x = 264

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Draw a function of dy/dx for the graphical below (image). Please help!

Answers

Step-by-step explanation:

Remember that

[tex] \frac{dy}{dx} [/tex]

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly

Answers

Answer:

its A im really smart and because im smart

Write 4.135 as a fraction write f as a fraction don't worry about simplifying

Answers

Answer:

827/200

Step-by-step explanation:

Can't explain, it is I think.

what is 1 1/3 x 2 1/2

Answers

Answer:

10/3 or 3.3 or 3 1/3

Step-by-step explanation

This Stem-and-Leaf Plot shows the number of ice cream cones that a local ice cream parlor sold during the last 25 days. What is the range of the data set? A. 45
B. 43
C. 41
D. 32

Answers

Answer:

D. 32

Step-by-step explanation:

The minimum value on the stem and leaf plot is 54

The maximum value on the stem and leaf plot is 86

to find the range,

max - min = 86 - 54 which is 32

Answer:

D) 32

Step-by-step explanation:

hope it helps!

5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?

Answers

Answer:

  $3.65

Step-by-step explanation:

The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.

__

setup

Let x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...

  5x +3y = 23.50

  5x +y = 20.00

solution

Rearranging the second equation, we have an expression for y:

  y = 20.00 -5x . . . . . . subtract 5x from both sides

Substituting this into the first equation gives ...

  5x +3(20.00 -5x) = 23.50 . . . . . substitute for y

  -10x +60.00 = 23.50 . . . . . . simplify

  x -6.00 = -2.35 . . . . . . . . divide by -10

  x = 3.65 . . . . . . . . . . . add 6

One hockey puck costs $3.65.

Which of the following tables represents a function?

Answers

The second option represents a function. It represents a function because x does not repeat, meaning x is not on the table more than once and does not have a different output.


What is the difference of the means of the distributions?

Answers

The different of the means of the distribution will be 15. Then the correct option is A.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

the graph is shown below.

Then the different of the means of the distribution will be

⇒ 45 - 30

⇒ 15

Then the correct option is A.

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According to a study, 45% of americans have type o blood. if a random number generator produces three-digit values from 000 to 999, which values would represent those having type o blood

Answers

The values that represent those having type O blood are the values from 000 to 449.

How to determine what range of the RNG should we use?

RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.

Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).

0.45*1000 = 450

Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}

So the values that represent those having type O blood are the values from 000 to 449.

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