The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks


Related Questions

Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7

Answers

Answer:

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y   y = 1/2x + 7

switch x and y    x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y     2x - 14 = y

then change y to f'(x)   f'(x) = 2x - 14

Answer:

B    --   f'(x)= 2x - 14

Write the number 0.0049 in scientific notation.

Answers

Answer:

= 4.9*10^-3

Step-by-step explanation:

Hope it helpzzz

what value is equivalent to 13 - 2(1 - 15) divided by 14

Answers

Answer:

15

Step-by-step explanation:

Following PEMDAS you would do the equation in the parentheses first.

1 - 15 = -14

13 - 2  ⋅ (-14) divided by 14

-2 ⋅ (-14) = 28

13 + 28 divided by 14

28 divided by 14 = 2

13 + 2 = 15

Your answer is 15

Hope I helped :)

Please consider Brainliest :)

What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?

Answers

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.

How do you solve this question

/

Answers

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

-4 x -5  = 20 (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

Jernardia is running a 5-kilometer race at a constant pace. After running for 20 minutes, she completes 4 kilometers. After running for 30 minutes, she
completes 5 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers,
represent the dependent variable.
Which equation can be used to represent k, the number of kilometers Jerardia runs in t minutes?
Oy-5= 1(x - 30)
O y-30 = 10 (x - 5)
Oy-30 = -10 (x - 5)
Oy-30 = 0.1 (x - 5)

Answers

Answer:

oy-5=1 ( x-30)

Step-by-step explanation:

jernardia is dumb as heck

15 POINTS!!!

Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?

Answers

Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  So that's what the premium would have to be in order to get a profit of 0.

 

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

 

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

Linearize the data. Then find the least squares regression equation

Answers

Answer:

C

Step-by-step explanation:

The mean of 7 numbers is 29. What is the total of the 7 numbers​

Answers

Answer:

203

Step-by-step explanation:

Multiply the mean by the amount of numbers (7).

what's 22.95 ÷ 13.5​

Answers

Answer:

17

Step-by-step explanation:

step-by-step explanation

The price for a new car, without sales tax, is
$18,900. The buyer must also pay a 5% state
sales tax. What is the cost of the car includ-
ing the sales tax?

Answers

Answer:

Step-by-step explanation:

18900 divided by 10 = 1890

1890 divided by 2 is 945

945 is 5 percent of 18900

18900 + 945 = 17955

Answer = 19845

Answer : $19,845

5% of 18,900
= 945

The price for the car
= $18,900

$18,900 + 5
= $19,845

a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm

Answers

Answer:

A. 31 cm

Step-by-step explanation:

Hopefully its right :)

Calculate the vertices
(x+3, y + 1)

Answers

Answer:

A' (4,4), B' (5,7), C' (9,7)

Step-by-step explanation:

What is 1047.04 divided by 16

Answers

Answer:

D

Step-by-step explanation:

Cause the calculator says so...

Answer:

65.44

Step-by-step explanation:

I copied and pasted but this is the answer 65.44

best estimate for 72% of 238?

Answers

Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.

Step-by-step explanation: 0.72 times 238 = 171.36

She is so sis she jxbeud

the triangle and rectangle have an equal perimeter x+5 for the triangle and 2x-3 for the rectangle

Answers

Answer:

Perimeter of triangle = 3(x + 5).

Perimeter of rectangle = 2(2x - 3) + 2x

We know that 3(x + 5) = 2(2x - 3) + 2x

So 3x + 15 = 4x - 6 + 2x, 3x = 21, x = 7.

Hence perimeter = 3(7 + 5) = 36.

Step-by-step explanation:

If the length of a rectangle is 3x+2 and the width is 2(x+4) what is the value of x
Explanation

Answers

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x+2=2(x+4)

3x+2=2x+8

3x=2x+6

X=6

Express the percent as a decimal. { 98% }

Answers

Answer:

98.

Step-by-step explanation:

Answer:

0.98 would be the 98% as a decimal


Please with a cherry on top help me solve this. I will give you brainliest. Thanks.

Answers

You spent 5 hours watering flowers that day, because you charge $7 for coming so 27-7=20 and 20/4=5 :)

please help!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

calculate doudle of 15.5
show the workout​

Answers

15.5*2= 31 double is two times
15.5 x 2 (double) = 31
Or 15.5+15.5 = 31 It’s double the same number...

Evaluate the following question:f(x) = 3x - 7 for f(10)

Answers

Answer:

f(10) = 23

Step-by-step explanation:

you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7

Answer:

x=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=−1

The slope of a line is 2. The y-intercept of the line is 6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2. left 1 to locate the next ordered pair
on the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair
on the line. Draw a line through the two points.

Answers

Answer:

A

Step-by-step explanation:

3.2654376... Rational or Irrational *
O Rational
O Irrational

Answers

Answer:

its irrational if the number goes on forever my g

Yes it’s irrational because you can’t predict what the next number is.

Can someone help me with this please

Answers

Okay I will help you.

9 7/9 simplified and in mixed number form.

PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS

A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?

Answers

0.6ft x 19.5 = 11.7 ft
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer

Find the value of x for which line a is parallel to line b .

Answers

Answer:

x = 20

Step-by-step explanation:

For a and b to be parallel, they must both add up to 180. Therefore, we can set up an equation:

3x+6x = 180

9x = 180

x = 20

Answer: X=20

Step-by-step explanation: Angle 4 and angle 5 are same side interior angles which means they are supplementary(180) and 3x+6x=180 would simplify to 9x=180 and by dividing 180/9 you get x=20.

The school band played at a festival on tuesday the band started playing at 3:48 pm and stopped playing at 6:38 pm how long did that band play?

Answers

Answer:

rwqrqwrq

Step-by-step explanation:

Answer:

2 hours 50 minutes

Step-by-step explanation:

subtract 3:48 from 6:38

and you get 2 hours 50 minutes.

Review the graph.

Which function is represented in the graph?

y = tanx
y = cosx
y = tan-1x
y = cos-1x

Answers

Answer:

D)

Step-by-step explanation:

I used a graphing calculator and typed in every equation and D matched the graph.

The graph given in the figure represents cos^-1(x). The correct option is (D).

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The graph for the given question shows that for the given function the range and domain are as follows,

Domain =  [-1, 1]

Range = [0, π]

The value of the function at 0 is π/2.

Since only the inverse of sinusoids have their range as [-1, 1] and the value of cos(x) at x = π/2 is 0. It implies that the given function is inverse of cos(x).

Hence, the given function represents inverse function of cos(x) which is cos^-1(x).

To know more about trigonometric ratio click on,

https://brainly.com/question/25122825

#SPJ2

A
2) A data set shows the number of minutes
each of 153,477 students takes to
complete a reading test. The median
completion time is 110 minutes. The
interquartile range is 34. Which statement
about the completion times is most likely
to be true?
A. Of these students, 25% complete the test in 110 minutes or less.
B. Of these students, 50% complete the test in 110 minutes or less.
c. Of these students, 75% complete the test in 127 minutes or less
O D.Of these students, 75% complete the test in 144 minutes or less.

Answers

Answer: it's b.

Step-by-step explanation:

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