what is the value of "c" by completing the square. x^2 - 14x +

Answers

Answer 1

Answer:

[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]

Step-by-step explanation:

Hello,

we need to get the discriminant = 0 meaning

[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]

And then the square is

[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]

Hope this helps


Related Questions

WILL GIVE BRAINLIEST Find the value of x, rounded to the nearest degree. 26° 25° 28° 62°

Answers

Answer:

X rounded to the nearest degree can me calculated based on parallel lines or if there is a straight line bisected by a line, 180 degress is a staright line. There is not enough info nor a picture to give a direct answer.

Answer:

its D

Step-by-step explanation:

Which equation represents a proportional relationship that has a constant proportionality equal to 0.7

Y/x=7/10

Y/x=1/7

XY=7/10

XY=1/7

Answers

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation

Please answer this in two minutes

Answers

Answer:

m<B = 63.4°

Step-by-step explanation:

tangent = opposite ÷ adjacent

tan B = [tex]\frac{4}{2}[/tex]

tan B = 2

B = tan⁻¹ (2)

B = 63.4°

Hope this helps.

Find the value of x
44 and 55in

Answers

Answer:

C

Step-by-step explanation:

Use Pythagorean theorem

X^2 + 44^2 = 55^2

X^2 = 55^2 - 44^2

= 3025 - 1936

X^2 = 1089

X = sqrt (1089)

X = 33

use the cross product property to solve the proportion

5/r = 9/10​

Answers

Answer:

[tex]5.\overline{55}[/tex] or  [tex]5\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{r} =\frac{9}{10}[/tex]

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

[tex]50 \div 9 = 5.555555...[/tex]

So, r = [tex]5.\overline{55}[/tex]

As a fraction, this is [tex]5\frac{5}{9}[/tex]

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r

A scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answers

Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

What is the perimeter of the parallelogram?

Answers

Answer 18

Solve 5+5+4+4=18

Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67

Answers

Answer:

the range is 10

Step-by-step explanation:

70 is the highest and 60 is the lowest

70-60=10

Which of the following is the reciprocal parent function?
A. F(x) = -X
B. F(x) = x^3
C. F(x)=1/x
D. F(x)= (x)
SUBMIT

Answers

Answer:

  C. F(x)=1/x

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...

  F(x)=1/x . . . . . . matches choice C

what is the value of [3.6]

Answers

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Please answer this in two minutes

Answers

Answer:

14.

Step-by-step explanation:

From the question given, we obtained the following information:

When angle θ = 60°

Adjacent = 7

Hypothenus = s

When angle θ = 30°

Opposite = 7

Hypothenus = s

We can use any of the above to determine the value of 's'.

Here, we shall consider when angle θ is 60°.

Cos θ = Adjacent /Hypothenus

Angle θ = 60°

Adjacent = 7

Hypothenus = s

Cos θ = Adjacent /Hypothenus

Cos 60° = 7/s

But Cos 60° = 1/2

1/2 = 7/s

Cross multiply

s = 2 x 7

s = 14

Therefore, the value of 's' is 14

In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?

Answers

Answer:18

Step-by-step explanation:

There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Since we know that

1 Quarter = 0.25 of Dollar

1 Dime = 0.10 of Dollar

1 Nickel = 0.05 of Dollar

Let's say we make Q number of the quarter, D number or dime, and N number of nickel.

Then equation formed will be

0.25Q + 0.10D + 0.05N = 0.75

From it is clear that the possible outcomes are

Qarteres =1, Dime =1, Nickel =2

Qarteres =1, Dime =2,Nickel = 4

Qarteres =1,Dime =3, Nickel = 6

Qarteres =1,Dime =4, Nickel = 8

Qarteres = 2, Dime =1,Nickel = 1

Qarteres = 2, Dime =2, Nickel = 3

Hence there will be a total of 6 outcomes.

For more about the equation

brainly.com/question/2263981

#SPJ2

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =

Answers

Answer:

[tex]x=20[/tex]

[tex]y=10\,\sqrt{3}[/tex]

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]

and also:

[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]

II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.

Answers

Answer:

C) Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

You need to have both equations in slope-intercept form.

4x - 6y = -6

-6y = -4x - 6

y = 2/3x + 1

The two equations are

y = 2/3x + 1

y = 2/3x - 17

For lines to be parallel, the slopes must be equal.  The y-intercepts don't matter.

Since the lines have the same slopes but different y-intercepts the answer is C.

In a game, one player throws two fair, six-sided die at the same time. If the player receives a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once

Answers

Answer:

probability that a player wins after playing the game once = 5/9

Step-by-step explanation:

To solve this, we will find the probability of the opposite event which in this case, it's probability of not winning and subtract it from 1.

Since, we are told that there are 2 fair six sided die thrown at the same time and that he receives a five or a one on either die ;

Probability of not winning, P(not win) = 4/6.

Thus;

P(winning) = 1 - ((4/6) × (4/6))

P(winning) = 1 - 4/9 = 5/9

The graph of g(x) is a transformation of the graph of f(x)=4x.

Answers

42

Step-by-step explan

Water is essential for our life. Here r the few uses of water. Arrange these activities in order from least to most, according to the amount of water used. To water the fields,kneading the dough,taking a bath,to drink, swimming

Answers

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim

Answers

Answer:

[tex]H_{o}[/tex]: Larger proportion of news media = democrats

Ha : Large proportion of news media [tex]\neq[/tex] democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 m/s2. If the acceleration of the object becomes 9 m/s2, what is the force?

Answers

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 significance level to test the claim of cereal lobbyist that the mean sugar content for all cereals is less than .3 g. Data set: 0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

Answers

Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

n= 16

[tex]\frac{}{X}[/tex]= 0.295g

S= 0.17g

You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

H₁: μ < 0.3

α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]

[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

A simple random sample from a population with a normal distribution of 102 body temperatures has x overbarequals98.40degrees Upper F and sequals0.66degrees Upper F. Construct an 80​% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.80degrees Upper F​?

Answers

Answer:

It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F

Step-by-step explanation:

The given information are;

The sample size, n = 102

The sample mean = 98.4°F

The sample standard deviation = 0.66°F

[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}[/tex]

α = 0.2, ∴ α/2 = 0.1

[tex]\chi _{1-\alpha /2}[/tex] = [tex]\chi _{0.9, 101}[/tex] = 83.267

[tex]\chi _{\alpha /2}[/tex] = [tex]\chi _{0.1, 101}[/tex] = 119.589,

Which gives;

[tex]\sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{119.589}^{}}}< \sigma < \sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{83.267}^{}}}[/tex]

0.607 < σ <0.727

Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.

Can somebody please help me with this & show work ?? :)

Answers

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

The following sphere has a diameter of 11 inches.

What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in.3
O 696.6 in.)
O 174.1 in."
O 126.6 in.3

Answers

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 11/2 = 5.5 inches

[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]

Where r = 5.5

V = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

V = [tex]\frac{2090.7}{3}[/tex]

V = 696.9 in.³

WILL MARK BRAINLIEST
PLEASE HELP x

Answers

Answer:

3. time = 6.4999  approximately 6.5 years

4. $2235.35

5.  $ 3950

Step-by-step explanation:

4. amount of interest =  final amount - principle= 7535.35 - 5300 = 2235.35

5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950

Find the 9th term geometric sequence 1,1/2,1/2^2w. Please show the steps.

Answers

Answer:

9th term geometric sequence (a9) = 1 / 256

Step-by-step explanation:

Given:

Geometric sequence 1,1/2,1/2²

First term (a) = 1

Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2

Number of term (n) = 9

Find:

9th term geometric sequence (a9)

Computation:

[tex]an = ar^{n-1}[/tex]

a9 = ar⁹⁻¹

a9 = (1)(1/2)⁸

a9 = (1/2)⁸

a9 = 1/256

9th term geometric sequence (a9) = 1 / 256

help me out??? first pic is the graph second is the answer choices

Answers

Answer: Choice D.   2x^2+2y^2 = 32

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

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Solve the following: (1 point) 7x − 2y = −3 14x + y = 14

Answers

Answer:

Step-by-step explanation:

7x - 2y = -3

14x + y = 14

7x - 2y = -3

28x + 2y = 28

35x = 25

x = 25/35= 5/7

14(5/7) + y = 14

10 + y = 14

y = 4

(5/7, 4)

factor the following trinomials x2-18x+81

Answers

Answer:

(x - 9)(x - 9)

Step-by-step explanation:

Hey there!

Well to factor,

x^2-18x+81

we need to figure out what times what equal 81 and adds together to get -18.

-9*-9 = 81

-9 + -9 = -18

x*x = x^2

Factored - (x - 9)(x - 9)

Hope this helps :)

x = 9.
This is found using the MAN strategy, and can be proven by subbing 9 into the equation for x and the solution equaling zero.

The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no

Answers

Answer:

no

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others

Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

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