20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.

Answers

Answer 1

first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,

answer:

b = 2

step-by-step explanation:

because its roots are -4 and 2,

and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]

using the distributive property we get,

[tex]x^2 + 2x - 8 = 0.[/tex]

by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .

hope this helps :)  

-audrey <3


Related Questions

what does it mean by "determine the equation of a line that passes through the given point. First find the slope" someone please help and give answer ASAP

Answers

Answer:

y=-3x-1

Step-by-step explanation:

The mistake that was made was in the denominator of the work. The second 2 should be the -1. This is what you should get:

[tex]\frac{-7-2}{2-(-1)}[/tex]

[tex]\frac{-9}{3} =-3[/tex]

Hope that clear things up.

1
The weight of water is 62-
2
lb per cubic foot. Water that weighs 275 lb will fill how many cubic fe
Water that weighs 275 lb will fill cubic feet.

Answers

Answer:

it will fill alot :)

Step-by-step explanation:

#(28282!#+#82(!29192)2!2(2(:)))))))

if DE=3x+7, EF=2x-3 and DF=7x-9, find DF

Answers

Answer:

So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.

Step-by-step explanation:

I did the work to show you how i got there. It is definitely not -63. I hope this helps!

Answer:

jygyygyutyu

Step-by-step explanation:

70
D
Find the measure of the arc or angle as indicated.
B
O 65
0 55
0 71
O
57

Answers

Is it supposed to be a attached picture to the question?


What is the solution to the following equation?
X-3(2x-8)= -25
A. X= 11

B. X= 14

C. X=10

D. x=5

Answers

Answer: X-3(2x-8)= -25

A. X= 11

B. X= 14

C. X=10

D. x=5

Step-by-step explanation:

what is 385/6 as a proper fraction

Answers

Answer:233/6

Step-by-step explanation:

385/6=233

choose the apporopriate value for the following statement 16 deliveries in 4 hours is a unit rate of _____ deliveries per hour
A. 4
B.2
C.7
D.8​

Answers

It should be A. 4, I think

A unit rate of 4 deliveries per hour.

What is the rate?

Rate is the special ratio in which two different terms are in different units.  a number, amount, or degree measured in relation to another object. a payment or charge that is calculated depending on another sum. more specifically: the premium per insurance unit. transitive verb rate.

Given that 16 deliveries are done in 4 hours. from that we can drive no. of deliveries in one hour. let's assume deliveries in one hour is x

For, x per hour =  16/4

x per hour is 4

Therefore the appropriate value for the unit rate of 4 deliveries per hour.

Learn more about the rate Here:

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What is 4.345 × 10^5 in standard form?

Answers

Answer:  434,500

You may need to erase the comma

To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500

If the exponent was -5, then you would move five spaces to the left.

HELP QUICK WILL GIVE BRAINLIEST

Answers

Can’t see what’s that

Answer:

I gave the answers to the first four problems.

Step-by-step explanation:

1) LAB=40°

2) angle 3= 57°

3) x=25°

4) y= 29°

At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.

Answers

Answer:

so you add then multiply then subtract

Step-by-step explanation:

Answer:

First we estimate the percent's. 8.5% - 10%, 18% - 20%. Then we do the equation. If you add percent's you get 30% multiply that by 40 and you get 12. Add that to you problem and you get $52.  

Step-by-step explanation:

Since the tax and gratuity were 4 and 8 dollars you can just add those up to the 40, but I did it another way.

This is the sample response if you want a better explanation.

The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.

If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°

Answers

Answer:

A is answer

Step-by-step explanation:

please follow me

Answer:

B and C

Step-by-step explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles

[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.

What would make the following equation true?
5m+(2m+8)=__+8

Answers

Answer:

7m

Step-by-step explanation:

Answer: 7m

Step-by-step explanation: 5m + 2m = 7m, so 5m+2m+8 = 7m+8

Can someone help me plzzz

Answers

Answer:

"i notice that for every one case they order there's 12 rolls in each case", "I wonder how many rolls is in half a case"

Step-by-step explanation:

thts what i would've put

pleaseee help! This is due in 30 minutes and this is the last question I have
Find the measures of the missing angles
ma._____
mb._____
mc._____
md._____

Answers

Answer: a=57

b=64

c=116

d=59

A is 57 because the lines are parallel and alternate interior angles. B is 64 because the lines are parallel and alternate interior angles. C is 116 because of linear pair. 180 - 64(b). D is 59 because of triangle sum theorem. Sum of measures of all angles in a triangle equal 180

a
b
124°
95°
42
53°
C
باوکی
39°
95°
If the slope of line c is given, the slope of
which other line is known?

Answers

Answer:

Line d

Step-by-step explanation:

Since, transversal b is forming equal degree of angles (95°) with lines c and d.

So, line c || line d

As we know that parallel lines have same slope.

So, If the slope of line c is given, the slope of line d is also known.

2+3/4x=5/12
Rewrite the equation so that it does not have any fractions

Answers

Answer:

24+9x=5

Step-by-step explanation:

First you need to find the least common multiple of the denominators of the fractions. In this case, it would be 12. Then, multiply the entire equation by this number.

2*12=24,

3/4*12=36/4=9,

5/12*12=60/12=5.

Using these values will give your final equation: 24+9x=5

Answer:
24+9x=5

Explanation:
To remove the fractional values, we need to multiply both sides of the equation by their denominators so they get canceled out.

2+3/4x=5/12
1) Multiply both sides of the equation by 4 since it is the denominator of 3/4
8+3x=20/12
2) Simplify the fraction 20/12
8+3x=5/3
3) Multiply both sides of the equation by 3 since it is the denominator of 5/3
24+9x=5

I hope this helps! Please comment if you have any questions.

How can I solve 7y + (-5y)

Answers

It’s just addition 2y is the answer

Answer: 2y

Step-by-step explanation:

Adding a negative number is the same as subtracting by that number. In this case,

7y + (-5y)

is equal to

7y - 5y

A ball is thrown from a height of 70 meters with an initial downward velocity of 10/ms. The ball's height h (in meters) after t seconds is given by the following.
h=70-10t-5t^2

Answers

The time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable. To solve the equation for x, use the following formula,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The ball's height h (in meters) after t seconds is given by the following.

[tex]h=70-10t-5t^2[/tex]

The ball is thrown from a height of 70 meters with an initial downward velocity of 10 m/s. In this case,

Height h=70 metersVelocity v=10 m/s.

The time when the ball hit the ground has to be find out. The value of the height when it hit the group is zero. Put the value of h=0 in the above equation,

[tex]h=70-10t-5t^2\\0=70-10t-5t^2\\5t^2+10t-70=0\\5t^2+10t-70=0\\[/tex]

Solve the quadratic equation using the following formula,

[tex]t=\dfrac{-10\pm \sqrt{10^2-4(10)(-70)}}{2\times5}\\t=-4.87, t=2.87[/tex]

Consider positive value. Thus, the time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.

Learn more about the quadratic equation here;

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Someone answer for angle 1 pls

Answers

Answer:

120 degrees

Step-by-step explanation:

5 times 25 equals 125.

subtract 5

=120

Answer:

Angle 1 = 120°

Angle 2 = 60°

if you add both of em up, they equal to 180°.

Step-by-step explanation:

5(25)-5

125-5

120

2(25)+10

50+10

60

The rational number 5 3/7 is equal to


is equal to

Answers

Answer:

38/7 is = to 5 3/7

Step-by-step explanation:

Simplify:
1) (3x2y3)2

Answers

Answer:

6x²y³ I think n hope it's right

Referring to the methods for calculating average atomic mass, which one is 'incorrect' ?
Mary
Jack
Alan

Answers

Alan's method is correct coz to find we add all the given value and divide by the numbers present

What is the median for the set of data?

A. 70
B. 71
C. 72
D. 74

Answers

Answer:

Median = 72

Step-by-step explanation:

The median is c=72. Your welcome

1/2 × 4 2/5= Im stuck on this

Answers

easy the answer would be  2.2

Calculate the product 78.93 x 32.45

Answers

Answer:

The answer is 2 561,2785 !!!

The required value is 2,556.2785 which is determined by the multiplication operation.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The numbers are given in the question, as follows:

78.93 and 32.45

To calculate the product of 78.93 and 32.45, you can use the standard multiplication algorithm.

78.93 x 32.45

Apply the multiplication operation, and we get

2,556.2785

Thus, the required value is 2,556.2785.

Learn more about Multiplication operations here:

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1. SHOPPING Jenna bought 5 reams of paper at the store for a total of $21. The tax on her
purchase was $1.
Solve 5x + 1 = 21 to find the price for each ream of paper.
(5 Points)
20
20/5
8/2

Answers

Answer:

$4

Step-by-step explanation:

5x + 1 = 21

(-1) = 5x = 20

(÷5) = x = 4

Answer:

its 20

Step-by-step explanation:

5 times 4 lol ion really now

Work this problem
9.215 -627




Answers

Answer:

−617.785

Step-by-step explanation:

-617.785 should be your answer

How far apart are parallel lines m and n such that T (ΔXYZ) = (Rn ∘ Rm)(ΔXYZ)?

Answers

Answer:

Parallel lines m and n are 6 units apart

Step-by-step explanation:

2c + y = 7 solve for y​

Answers

Answer:

y = 7 - 2c

Step-by-step explanation:

Step 1:

2c + y = 7      Equation

Step 2:

y = 7 - 2c    Subtract 2c on both sides

Answer:

y = 7 - 2c

Hope This Helps :)

Answer:

y = 7 - 2c

Step-by-step explanation:

2c + y = 7

=> y = 7 - 2c

is 5.8 greater then fifty eight hundreths

Answers

Answer:

no

Step-by-step explanation:

fifty eight hundreths= 5,800

5.8<5,800

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