what are the solutions of this equation 16-2x^2=-64

Answers

Answer 1

Answer:

x = ± 2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Given

16 - 2x² = - 64 ( subtract 16 from both sides )

- 2x² = - 80 ( divide both sides by - 2 )

x² = 40 ( take the square root of both sides )

x = ± [tex]\sqrt{40}[/tex] = ± [tex]\sqrt{4(10)}[/tex] = ± 2[tex]\sqrt{10}[/tex]


Related Questions

total sales 12500 commission rate 3.25

Answers

Answer:

multiply.0325 and 12,500 to get commission

24 quarts equals how many pints

Answers

Answer: 48 Pints

Step-by-step explanation: Quarts are always half the number of pints so say if we had 48 pints, half of 48 is 24 so that is our answer..

Alex belongs to a music club. Club membership entitles him to buy a discount card for 19.95. the card allows him to buy CDs for 3.95 each. After one year, Alex has spent 63.40. How many CDs did he buy?

Answers

Answer:

11

Step-by-step explanation:

63.40 - 19.95 = 43.45

43.45/3.95 = 11

Answer:

11 CDs

Step-by-step explanation:

took it on progress learning got it right :)

Someone please help me with this problem

Answers

Answer:

corresponding

Step-by-step explanation:

ANSWER

corresponding.

EXPLANATION

We can trace an F-pattern for <5 and <7.

These two angles are on corresponding sides of the F-pattern.

The two lines l and m are parallel lines.

F-pattern angles form on parallel lines are called corresponding angles.

The correct choice is the last option.

which of the following graphs could represent a quadratic function

Answers

Answer:

Option: A is the correct answer.

             A.  Graph A

Step-by-step explanation:A quartic function is a function whose degree is 4 i.e. even.We know that for any even degree function the end behavior of the graph is in the same direction i.e. when x tends to infinity and minus infinity then the function goes in the same direction.And for any odd degree function the end behavior of the graph goes in the opposite direction.

Among the given graphs Graph A is such that both the ends of the graph goes in the same direction while in other they goes in opposite direction.

            Hence, the correct answer is:

                     Graph A

If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?

Answers

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

Prove one

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

Prove two

If two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<13 are congruent.

They are know as corresponding angles

Hence lines c and d are parallel

Answer:

it has to be a is parallel to b

Step-by-step explanation:

Suppose the population mean of a sample of the nest counts is 28 examples of 6 - 9 nestlings with a standard deviation of 3. Which of the following would be a reasonable inference to make about the sample?

The population and the sample statistics should be the same.
The population statistics over-counted the number of nestlings.
The sample represents the population.
The sample undercounts the population of nestlings.

Answers

Answer:

The sample undercuts the population of nestings

Step-by-step explanation:

The sample undercounts the population of nestlings would be a reasonable inference to make about the sample option, fourth is correct.

What are population and sample?

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

The population mean of a sample of the nest counts is 28 examples of 6 – 9 nestlings, with a standard deviation of 3.

We have given reasonable inference to make about the sample:

The population and the sample statistics should be the same.The population statistics over-counted the number of nestlings.The sample represents the population.The sample undercounts the population of nestlings.

As per the data given, we can say that The sample undercounts the nestling population.

Thus, the sample undercounts the population of nestlings would be a reasonable inference to make about the sample option fourth is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ2

Given h(t)=-2((-8)+5)•2+4 find h(-8)

Answers

Answer:

36

Step-by-step explanation:

-2 ((-8) + 5) * 2+4

(16 - 10) * (2+4)

6 * 6

36

If a cup of coffee is at 90°C and a person with a body temperature of 36°C touches it, how will heat flow between them?

from the hand to the cup
from the cup to the hand
from the cup to the surrounding air
from the hand to surrounding air

Answers

Answer:

b

Step-by-step explanation:

Answer: From the cup to the hand

Given that the cup of coffee is at 90°C and the person has a body temperature of 36°C.

We know that 36 < 90.

So the temperature of the person is less.

The heat will flow from the higher temperature towards the lower temperature.

So the heat should flow from the cup to the hand.

Learn more: https://brainly.com/question/10241002

Rochelle bought 4 pieces of ribbon to finish a project. Each puece was 1 5/12 yards long. What is the combined length of the ribbon she bought?

Answers

Answer:

is it 15/12 or a mixed fraction

Which expression is equivalent to 4/9(2n-3)

Answers

Answer:

[tex]\large\boxed{\dfrac{8}{9}n-\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{9}(2n-3)\qquad\text{use the distributive property}\\\\=\left(\dfrac{4}{9}\right)(2n)+\left(\dfrac{4}{9}\right)(-3)=\dfrac{8}{9}n-\dfrac{4}{3}[/tex]

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different. The given expression in the problem is equivalent to the,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Thus the option 4 is the correct option.

Given Information-

The given expression [tex]f(n)[/tex] is,

[tex]f(n)=\dfrac{4}{9} (2n-3)[/tex]

Equivalent expression-

Equivalent expression are the equation which have the same identical solution for the variable but the way of representation is different.

Open the bracket of above equation by multiplying the fraction with the numbers inside the bracket.

[tex]f(n)=\dfrac{4\times 2n}{9} -\dfrac{4\times 3}{9}[/tex]

[tex]f(n)=\dfrac{8n}{9} -\dfrac{12}{9}[/tex]

[tex]f(n)=\dfrac{8n}{9} -\dfrac{4}{3}[/tex]

Fraction 4/c can be written as the mixed number. Thus,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Hence the given expression in the problem is equivalent to the,

[tex]f(n)=\dfrac{8}{9}n -1\dfrac{1}{3}[/tex]

Thus the option 4 is the correct option.

Learn more about the equivalent equation here;

https://brainly.com/question/14332869

Sharon wants to start a savings account with the money she earns selling scented candles. She already has $50 and would like to save at least $90. She earns $2 for each candle she sells. How many candles should Sharon sell in order to meet her goal?

Answers

Answer:

She must sell as least 20 candles

Step-by-step explanation:

Sharon has 50 dollars

She makes 2 dollars per candle

Money in 50+2c

She needs at least 90

90≤ 50+2c

We need to solve this inequality

Subtract 50 from each side

90-50≤ 50-50+2c

40 ≤ 2c

Divide by 2

40/2 ≤ 2c/2

20 ≤ c

She must sell as least 20 candles

90-50=40 40 divided by 2 = 20. sharon needs to sell 20 candles

how many solutions does the linear system 3×+5y=8 and 3×+5y=1have ​

Answers

Answer:

No solution

Step-by-step explanation:

When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin determines about how many times the spinner will land on red or green, and his work is shown below.



What mistake did Kevin make, if any?
Kevin has the formula reversed; it should be the total number of sections over the number of red or green sections.
Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.
Kevin should multiply by the number of sections in the spinner rather than the total number of spins.
Kevin calculated the prediction correctly and did not make any mistakes.

Answers

Answer:  2nd answer

Step-by-step explanation:

Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.

Answer:

The mistake that kevin make is:

      Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.Step-by-step explanation:

It was given that there are 10 sections in the spinners 2 of each color.

Hence, in order to find the probability that the spinner lands on green or red is:

He need to find the total sections which are red or green,.

There are 4 sections which are red or green

( Since 2 are green and 2 are red)

and the probability that it will land on green or red is:

        [tex]=\dfrac{4}{10}\times 180\\\\\\=72[/tex]

Hence, she should have taken 4 in the numerator to calculate the probability.

Am I right???help asap!

Answers

Answer:

yes you are

Step-by-step explanation:

Spencer is carrying out a survey of the bear population at Yellowstone National Park. He spots 2 bears - one has a light colored coat and the other has a dark coat.

1- Assume that there are equal numbers of male and female bears in the park. What is the probability that both bears are male?
2- If the lighter colored bear is a male, what are the odds that both are male?

Answers

Answer:

1. 1/4

2. 1/2

Step-by-step explanation:

If there are equal numbers of males and females, we can simplify that by saying there's one male and one female for each coat color.

1. What's the probability that both are males?

Well, there's a 1/2 chances the light-colored coat bear is a male and there's also a 1/2 chances the dark-colored coat bear is a male.  So, we can make this reference table:

Light             Dark

Male             Male

Male             Female

Female         Male

Female         Female

As you can see, the probability that both of the spotted bears are males is 1/4 (1/2 * 1/2).

2. If the light-colored bear, what are the odds both are males?

If we know for sure the light-one is male, then there's 1/2 chances the other is too, refer to the table above to verify.

PLEASE HELP ASAP!! WILL MARK BRAINLIEST

Answers

Answer:

the answer is b

Step-by-step explanation:

because the angle of 45 with the x and the answer once the graph have the number we can find the expressopm

Using the graph, estimate the cost of 100 kilowatts-hours of electricity

A. About $8
B. About $9
C. About $6
D. About $7

Answers

Answer: A - About $8

Step-by-step explanation:

Which of the following best describes a square root?
A. A factor of a number that, when subtracted from itself, gives the
number
O
B. A factor of a number that, when multiplied by itself, gives the
number
O
C. A factor of a number that, when divided by itself, gives the number
D. A factor of a number that, when added to itself, gives the number

Answers

Answer: the answer is c

Answer:

B. A factor of a number that, when multiplied by itself, gives the  number

Step-by-step explanation:

[tex]y^{2} =a[/tex]

in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a

What is the radius of a circle whose equation is x^2+y^2+8x-6y+21=0

Answers

Answer:

2

Step-by-step explanation:

For the polygon, use Euler's Formula to find the missing number. Faces:? edges:13 vertices:8

Answers

Answer:

F = 7

Step-by-step explanation:

Euler's formula relating faces, edges, vertices is

V - E + F = 2

8 - 13 + F = 2

- 5 + F = 2

F = 5 + 2

F = 7


The price of a computer was decreased by 30% to £336. What was the price before the decrease?

Answers

Answer:

£480

Step-By-Step Explanation:

x = the original price of a computer

£x = 100% of the original price

The price of a computer was decreased by 30% to £336.

This means:

£336 = 100% - 30%

£336 = 70% of the original price

From this, we will find 1% of the original price.

£336 ÷ 70 = 1%

£4.8 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£4.8 × 100 = 100%

£480 = 100%

Therefore, the original price of a computer = £480

The graphs of y = x2 and y = x2 + c are shown below.

Answers

Where’s the question though :/

A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3 4 x + 2. What is the solution to this system of linear equations?

Answers

ANSWER

[tex]x = 4[/tex]

and

[tex]y = - 1[/tex]

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

[tex]y = - \frac{3}{4}x + 2[/tex]

We equate the two equations to get:

[tex]x - 5 = - \frac{3}{4} x + 2[/tex]

Multiply through by 4

[tex]4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4[/tex]

[tex]4x - 20 = - 3 x + 8[/tex]

[tex]4x + 3x = 8 + 20[/tex]

7x=28

[tex]x = \frac{28}{7} = 4[/tex]

[tex]y = 4 - 5 = - 1[/tex]

Answer:

(4, -1) is the solution of the system of equations.

Step-by-step explanation:

A system of equations consists of a line y = x - 5 and a line passing through two points (0, 2) and (8, -4)

And the equation of that passes through these points will be [tex]y=-\frac{3}{4}x+2[/tex]

Now we have to find the solution of the system of linear equations.

By equating both the equations

x - 5 = [tex]-\frac{3}{4}x+2[/tex]

Now we multiply this equation by 4

4(x - 5) = -3x + 4×2

4x - 20 = -3x + 8

4x + 3x = 8 + 20

7x = 28

x = 4

Now we put x = 4 in the equation y = x - 5

y = 4 -5

y = -1

Therefore, (4, -1) is the solution of the system of equations.

The population of bobcats in northern Anzona since 2008 can be modeled using the function (t) = -0.32+ 2.7t +
253

Answers

Answer:

t=-148+1/1.5740740740741

Step-by-step explanation:

(t)=-0.32+2.7t+253

We move all terms to the left:

(t)-(-0.32+2.7t+253)=0

We add all the numbers together, and all the variables

t-(2.7t+252.68)=0

We get rid of parentheses

t-2.7t-252.68=0

We add all the numbers together, and all the variables

-1.7t-252.68=0

We move all terms containing t to the left, all other terms to the right

-1.7t=252.68

t=252.68/-1.7

t=-148+1/1.5740740740741

Answer: t=-148+1/1.5740740740741

Step-by-step explanation: (t)-(-0.32+2.7t+253)=0

                                              t-(2.7t+252.68)=0

                                               t-2.7t-252.68=0

                                                 -1.7t-252.68=0

                                                  -1.7t=252.68

                                                   t=252.68/-1.7

                                                     t=-148+1/1.5740740740741

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?

Answers

Answer:

Therefore, the plant that grew at a faster rate would be Megan’s at 2.5 inches per week.

Step-by-step explanation:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week

Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

Using the examples:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To determine whose plant grew at a faster rate and what was the rate, we need information about the growth of their plants over the four-week period.

Without this information, we cannot determine the rate of growth or compare the rates of growth of their plants.

Assuming that we have the required information about their plant growth, we can compare the rates of growth of their plants by calculating the average weekly growth rate of each plant.

The plant with a higher average weekly growth rate grew at a faster rate.

For example:

If Megan's plant grew by 4 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Megan's plant = (Total growth in 4 weeks) / (Number of weeks)

= 4 inches / 4 weeks

= 1 inch/week

Similarly,

If Suzanne's plant grew by 6 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Suzanne's plant = (Total growth in 4 weeks) / (Number of weeks)

= 6 inches / 4 weeks

= 1.5 inches/week

In this example:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

Thus,

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ8

Evaluate (x + y)0 for x = -3 and y = 5.

Answers

Answer:

0

Step-by-step explanation:

you substitute:

(x+y)= (-3+5)= (5-3)= 2(0)= 0

What’s is the mean absolute deviation for 11 of the data set 11 10 9 12 10

Answers

Answer:  0.6

Step-by-step explanation:

First you must calculate the mean of the data

The average is:

[tex]{\displaystyle {\overline {x}}}=\frac{11 +10 +9 +12 +10}{5}\\\\{\displaystyle {\overline {x}}}=10.4[/tex]

Now you must calculate the difference between the value 11 and the average

[tex]d = |11-{\displaystyle {\overline {x}}}|\\\\d=|11-10.4|\\\\d=|0.6|\\\\d=0.6[/tex]

The mean absolute deviation is 0.6

Sketch the quadratic function f(x) = -2x2 + 4x + 6. Which key feature of the graph is not true?
A) maximum (1, 8)
B) y-intercept (0, 6)
C) x-intercept (3, 0)
D) x-intercept (-2, 0)

Answers

Answer:

D is false

Step-by-step explanation:

f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:

f(x) = -2x^2 + 4x + 6.

Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex.  We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.

Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8.  So statement A is true:  there's a max at (1, 8).  This is also the vertex of the graph.

Let's now look at C and D.  We evaluate f(x) at x = 3 and x - 2.  If the output (y) value is 0, we know we have an x - intercept:

f(3) = -2(9) + 4(3) + 6 = 0.  Yes, C is true, (3, 0) is an x-intercept.

f(-2) = -2(4) - 8 + 6 is not 0.  Therefore D is false; (-2, 0) is not an x-intercept.

Look at B:  Let x = 0 and find y:  it's 6.  Thus, (0, 6) is the y-intercept.  B is true.

Answer:

B) x + 12 < 8 − 3x

Step-by-step explanation:

Divide the following complex numbers (2 + i ) ÷ ( 1 - 4i ) ​

Answers

-2/17 + 9i/17 fractions

Answer:

- [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

Step-by-step explanation:

Multiply the numerator/denominator by the complex conjugate of the denominator.

The conjugate of 1 - 4i is 1 + 4i

[tex]\frac{(2+i)(1+4i)}{(1-4i)(1+4i)}[/tex] ← expand factors

= [tex]\frac{2+9i+4i^2}{1-16i^2}[/tex] → i² = - 1

= [tex]\frac{2+9i-4}{1+16}[/tex]

= [tex]\frac{-2+9i}{17}[/tex]

= - [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

Other Questions
what is math used for? Please help I'm stuck on this :( Evaluate the expression for x=4 and y=5 6(x2-y)-y2 Whats the difference between that made me laugh and that got me laughing? YO DOWGS HELP ME!!!!!!!!! In an elastic collision, kinetic energy is transferred from one particle to another, but the total kinetic energy remains constant. question 1 options: a. True b. False Where were most of France and Englands colonies? a. South America c. Caribbean islands b. Central America d. North America Please select the best answer from the choices provided A B C D What is the area of a circle if its circumference is 22n? Which statement about President Wilson's Fourteen Point plan is correct? A.It encouraged the formation of a communist government in Russia. B.It established the framework for an expanded American empire in Europe and Asia. C.It insisted on huge reparations from the German government. D.It called for self-determination for all countries and peoples. Planet that is one astronomical unit from the sun is ____ A relationship between you and a friend you see every day is a _______ relationship A cake has circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate . Round to the nearest hundredth. Enter your answer in the box. If xy=3 and x+y=5, what is the value of y? 5. The load across a battery consists of two resistors, with values of 15 Ohm and 45 Ohm connected in series. a) What is the total resistance of the load? b) What is the voltage of the battery if the current in the circuit is 0.1 A? help plz need the answer asapSocratess initial reaction to being found guilty is _____. HELP PLEASE! Im having a hard time answering this.Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70*. Will the ladder be safe at this height? Show work. Which of the following terms best describes a black bear A shortage can be either short-term or long-term, but it is not an ongoing condition.Please select the best answer from the choices providedTF In a restaurant, who is responsible for managing revenue and expenses while advising on the overall financial health of the business? A 900-kg car traveling east at 15.0 m/s collides with a 750-kg car traveling north at 20.0 m/s. The cars stick together. What is the speed of the wreckage just after the collision? Steam Workshop Downloader