One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2. Find the value of coefficient c.

Answers

Answer 1

Answer: c = -28

Step-by-step explanation:

substitue x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

Answer 2

The value of coefficient c of the quadratic equation 2x^2+10x+c=0  is -28.

One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.

What is the root?

The roots of a quadratic equation are the values of the variable that satisfy the equation.

They are also known as the solutions or zeros

The equation is 2x^2+10x+c=0.

a=2, b=10 and c=?

To substitute x for 2

2(2^2) + 10(2) + c = 0

8 + 20 + c = 0

28 + c = 0

c = -28

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Related Questions

Find the exact value of the expression sin(sin225 - 120)

Answers

Step-by-step explanation:

I use desmos . com so it's easier.

A) 1.29

B) 0.91

C) 0.97

D) 1.05

Good Luck!

Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true

Answers

Answer:

0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors

Step-by-step explanation:

Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.

0.046×0.3
Show your work

Answers

I attached the answer

PLEASE HELP!!! I NEED TO KNOW HOW TO SOLVE IT

Answers

Name of the shape:

Triangular Prism  - a three sided prism "triangular base"

Surface Area of Right Triangular Prism:

Base x Height + Length(perimeter of the base)

4 x 3 + 11(3 + 5 + 4)12 + 11(12)12 + 132144 cm²

There surface area of this shape is 144 cm²

#a

Triangular prism

#b

If sides be L,B,H

Then

TSA=BH+L(Perimeter of base)

#c

Now

TSA=4(3)+11(3+5+4)TSA=12+11(12)TSA=144cm²

The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute deviations of sidney’s and phil’s grades sidney phil mean 82 78 mean absolute deviation 3.28 3.96 which expression represents the ratio of the difference of the two means to sidney’s mean absolute deviation? startfraction 82 over 3.28 endfraction startfraction 4 over 3.28 endfraction startfraction 4 over 0.68 endfraction startfraction 82 over 0.68 endfraction

Answers

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

What is mean absolute deviation?

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

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Answer:

Option B: 4/3.28

Step-by-step explanation:

9. The value of U.S. postage stamps increases -5% per year. The current price is 55€. Estimate what the price will be in 20 years​

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\$0.55\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &20\\ \end{cases} \\\\\\ A=0.55(1 + 0.05)^{20}\implies A=0.55(1.05)^{20}\implies A\approx 1.46[/tex]


The point P is on the unit circle. If the y-coordinate of P is -3/7
and P is in quadrant IV, then
T=
Question Help: Video
Submit Question

Answers

Answer:  [tex]\bold{x=\frac{2 \sqrt{10}}{7}}[/tex]

Step-by-step explanation:

[tex]\text { Let } p=\left(x,-\frac{3}{7}\right) \text { as given } y \text {-coordinate is }=-\frac{3}{7}[/tex]

[tex]r=1 \ \ \text{(as $p$ is on unit circle)} \\$$\therefore x^{2}+y^{2}=1^{2}[/tex]

[tex]\begin{aligned}&\Rightarrow x^{2}+\left(-\frac{3}{7}\right)^{2}=1 \Rightarrow x^{2}=1-\frac{9}{49}=\frac{40}{49} \\&\Rightarrow x^{2}=\pm \sqrt{\frac{40}{49}} \Rightarrow x=\pm \frac{2 \sqrt{10}}{7}\end{aligned}[/tex]

[tex]$$Since the point is in quadrant $4$ $\therefore \text{the} \ x$-coordinate will be positive$$\therefore x=\frac{2 \sqrt{10}}{7} \text$$[/tex]

Simplify the expression.

Answers

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

James buys 7 baseballs and 1 bat.
• Each baseball costs the same amount.
• The bat costs $42.00.
• The total cost is $66.50, before tax.
What is the cost of each baseball?
$3.50
$6.00
$9.50
$15.50

Answers

66.50 - 42.00 = 24.50

24.50 / 7 = 3.50

The cost of each baseball is $3.50, option A is correct.

Given that the Number of baseballs are 7.

Cost of the bat = $42.00

Total cost before tax = $66.50

The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:

Total cost of baseballs = 7 × x

The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:

Total cost = Total cost of baseballs + Cost of the bat

$66.50 = 7x + $42.00

We need to solve this equation for x.

Subtracting $42.00 from both sides:

$66.50 - $42.00 = 7x

$24.50 = 7x

Dividing both sides by 7:

$24.50 / 7 = x

x = $3.50

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If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the customers currently in line to check out?

Answers

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

What is the discrete probability distribution?

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

P(X = 0) = 0.2;P(X = 1) = 0.15;P(X = 2) = 0.30;P(X = 3) = 0.20;P(X = 4) = 0.10;P(X = 5) = 0.05;

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at https://brainly.com/question/24855677

The population of the high school increases by 10% each year what would B= in the form of y=a(b)^x​

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]

Joseph baked cookies for his french class's end-of-year party. there are 28 people in joseph's french class including joseph and his teacher. joseph baked enough cookies for everyone to get 3 cookies each. how many cookies did joseph bake?

Answers

Answer:

84 cookies

Step-by-step explanation:

28 x 3 = 84

Joseph baked 84 cookies.

Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

pls simplify this will give brainly and a lot of points!!!!! 5:00min

Answers

Answer:

More details please ._.

Step-by-step explanation:

[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]

explanation:

There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.

If b= 110 degrees and a= 50 degrees, what is the value of x?

Answers

I think you're question is incomplete or is missing an attachment.

If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by
X + 3?

Answers

Answer:

remainder: -400

Explanation:

[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]

divided by x + 3

x + 3 = 0x = -3

insert x = -3 in the function

[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]

[tex]\sf f(-3) = -400[/tex]

A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open

Answers

Answer: 4×+3y

Step-by-step explanation:

1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.

2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.

In a week, it will just be the sum of 1 and 2, which is 4x+3y

Select the reason that best supports Statement 6 in the given proof.

Answers

Answer: D. Subtraction property of equality

Step-by-step explanation:

They are subtracting 6 from both sides of the equality.

What is the sum of 3,45,26,712 and 1,00,98,756??​

Answers

Answer:

34,526,712 + 10,098,756 = 44,625,468

PLEASE HELP CHOOSING BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.

Algebraically:

[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]

[tex]\frac{2n^4+6-7}{n^4+3}[/tex]

[tex]\frac{2n^4-1}{n^4+3}[/tex]

I hope this helps!

Each grass square measures 1 foot by 1 foot. How much fence is needed to go around the garden?

Answers

Answer:

  42 feet

Step-by-step explanation:

The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.

__

Clockwise from the upper left corner, the sum of edge lengths is ...

  2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet

  = 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise

  = 17 + 11 + 14

  = 28 + 14 = 42 . . . feet

42 feet of fence is needed to go around the garden

Write the equation to represent the new function. Translated 2 units left and 9 units down.

Answers

Answer:

y= -2x-9

x would move left or right, and up and down is y

left or down are negative and up or right are positive

Step-by-step explanation:

how this helps if do mark brainllest pls! :)

Two brothers decided to bike to visit their grandma who lived 12 miles away. One of them biked at speed 8 mph and then he waited for his brother for 30 minutes. What was the speed of the second brother?

Answers

Answer:

6 m/hr

Step-by-step explanation:

The first brother took   12/8 = 1.5 hr

the second brother took  1.5 + .5 = 2hours

  12 miles / 2 hrs =

Felix has $100 in an account that earns 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 2 years?

Answers

Based on the amount that Felix deposited in the account and the 5% compounded annual interest, the interest Felix will earn in 2 years is $10.25

How to find the interest earned?

First, find the amount the $100 would have accrued to in 2 years:

= Amount deposited x (1 + rate) ^ number of years

Solving gives:

= 100 x (1 + 5%)²

= $110.25

The interest earned is:

= Amount in 2 years - Amount deposited

= 110.25 - 100

= $10.25

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Answer:10.25

Step-by-step explanation:

For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?

Answers

I think it’s 2 because 14 divided 7 is 2

In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.

If the store has 3,000 eggs for sale, how many can expect to be cracked?

Answers

3000/200=15
15 groups x 6 eggs per group = 90

Nevaeh spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 7475 feet.
Nevaeh initially measures an angle of elevation of 16° to the plane at point A. At
some later time, she measures an angle of elevation of 43° to the plane at point B.
Find the distance the plane traveled from point A to point B. Round your answer to
the nearest tenth of a foot if necessary.
INTL
0

Answers

Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:

[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]

[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]

[tex]x_A = 26068.4[/tex]

At point B, the angle is of 43º, hence:

[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]

[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]

[tex]x_B = 8016[/tex]

Hence, the distance in feet is given by:

[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

help pleaseee thankssssssss :))))))​

Answers

Answer:

it is 20

Step-by-step explanation:

because it rounds from the ten value which is to the left of the decimal which means it has to be either 10 or 20 and 8 is greater than 5 so the answer if 20

This question is asking you to round to the nearest ten, not the nearest tenth. To do this, all you have to do is round to the nearest product of ten - in this case, 20.

Without using a calculator, order the following expressions from least to greatest.
11/3, square root 20, square root 17

Answers

Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Select all that apply

Answers

Answer:

Rational & integer

Step-by-step explanation:

Rational numbers are terminating. -7 is terminating.

All integers are rational numbers. Integers do not have decimals.

This is not whole because it is negative.

This is not irrational because... it's rational!

it is a rational and integer Hopefully you pass this assignment

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