The product of the roots of 2x^2 - 7x + N = 0 is -5. Find N.

Answers

Answer 1

Let a and b be the roots of 2x² - 7x + N. Then

2x² - 7x + N = 2 (x - a) (x - b)

2x² - 7x + N = 2x² - 2 (a + b) x + 2ab

so that

2 (a + b) = 7

2ab = N

The product of the roots is ab = -5, so

N = 2 • (-5) = -10


Related Questions

This is the second time I put this, PLEASE ANSWER!!!
Subtract.
7h 15min 12s
2h 03min 46s

OPTIONS:
5 hours, 11 minutes, 26 seconds
5 hours, 11 minutes, 34 seconds
5 hours, 12 minutes, 26 seconds
5 hours, 12 minutes, 34 seconds

Answers

Answer:

5h 11m 26sec

Step-by-step explanation:

7h 15m 12 sec

2h 03m 46 sec

-----------------------

5h 11m 26sec

Answer:

7h 15m 12s

-2h 03m 46s

...................

5h 11m 46s

Step-by-step explanation:

need help ASAP mid term .
- 60 points

Answers

the metal bar/random line is almost the same size as the other two sides of the triangle. if one side is 32ft, then the opposite side is 32ft also. the bottom is 100ft, so we could eliminate C. because it couldnt be that number. now the bottom triangle, one side is 40ft so the other side has to be 40ft as well. its asking about the metal bar.

its either:

A. 53.2ft     or

B. 44.4

because the line is almost the same size as 32ft. its almost a equallateral triangle. i would go with A. though because if you imagine the line at the bottom of the line (100ft.) the line would go over half of it (and 53.2 is over half of 100) so i would say

A.53.2

if this didnt help let me know. and i will delete this (if i can-)

I'm taking my final please answer this and wish me luck

Answers

Answer:

B 7feet

Step-by-step explanation:

Side a = 24

Side b = 25

Side c = 7

Angle ∠A = 73.74° = 73°44'23" = 1.287 rad

Angle ∠B = 90° = 1.5708 rad = π/2

Angle ∠C = 16.26° = 16°15'37" = 0.28379 rad

C=16.26°B=90°A=73.74°b=25a=24c=7

Area = 84

Perimeter p = 56

Semiperimeter s = 28

Height ha = 7

Height hb = 6.72

Height hc = 24

Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true.

Answers

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!

An Olympic race has 14 competitors.
How many ways can the gold, silver, and bronze medals be awarded?

Answers

Answer:

720 ways

Step-by-step explanation:

(Due Now!! HELP; I know how to do this I just don't have time)

The cost of 3 pounds of bananas is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of bananas, x ?

A) 6.57

B) 3

C) 2.19

D) Not here

Answers

Answer:

It is C.

Step-by-step explanation:

You divided 6.57 by 3

and 3 by 3

3 by 3 = 1

6.57 = 2.19

3 so for every 1 pound it costs $2.19

C) 2.19

Step-by-step explanation:

Hope this helps!!

What is the slope of the line on the graph below

Answers

b) 2/1
find a point, you go up 2 and then over 1!
hope this helps, feel free to mark brainliest!!

Answer:

2

Step-by-step explanation:

Pick any point

You go up 2 and 1 over

2/1 is the same as 2 just simplified!

8y + 6 + 8x + y + 3


its too short so im adding more characters

Answers

Answer: 9y+8x+9
Explanation: i added the y’s together and the regular numbers together

Answer:

9y+8x+9

Step-by-step explanation:

in order to solve we need to add like terms

8y+1y=9y

8x is the only like term of its type

6+3=9

Add all of the sums together to crate a new equation

9y+8x+9 is your answer

can someone help me !

Answers

Answer:

C) ??????? I think

Step-by-step explanation:

Hope this helps

Answer:

i think the answer is c or d which makes more since

Step-by-step explanation:

the answer is c

What is the inverse of the function f(x) = 4x+8?

Answers

Answer:

(x-8)/4=y

Step-by-step explanation:

f(x)= 4x+8

y=4x+8

y-8=4x

(y-8)/4=x

(x-8)/4=y

Whitch of the following number is between 2/5 and 7/8

Answers

Answer:

The correct answer is B.

Lets go through explaination:

According to the question, the answer should be between 2/5 and 7/8

If we changed the fraction into decimal, we will get 2/5 as 0.4 and 7/8 as 0.875

So now, we have to get the numbers in between 0.4 and 0.875

Changing all the fraction in the form of decimal:

15/16 = 0.93753/4 = 0.753/8 = 0.3751/3 = 0.33333333333......

In the above answers, only no. B is between 2/5 and 7/8.

So, B is the correct answer.

Please answer!!!!!!!

Answers

To see if it is possible, you will want to create an equation.

3(4x+2) = 6(2x+2)

As you can see, you will need to use the distributive property for this equation.

12x + 6 = 12x + 12

Remove 6 from both sides.

12x = 12x + 6

Divide 12 by both sides

x = x + 0.5

Because the answer wasn't x = x, the two plants won't ever be the same height. Even if you tried to subtract 0.5, you'd only get a negative 0.5 on the other side.

The owner where your work explains that you're paid $8/hour and receives a $25 bonus each month for being the manager. If the owner hands you a check for $250, How many hours did you work this month? Write an equation and solve.

Answers

Answer:

28.125 hours

Step-by-step explanation:

Amount of money paid per hour = $8

Bonus of being a manager = $25

Total amount of money paid = $250

To find:

Number of hours worked for this month?

Solution:

Let the number of hours worked = [tex]h[/tex] hours

Amount of money paid for [tex]h[/tex] hours = $8[tex]h[/tex]

As per question statement:

Bonus + Amount of money paid for [tex]h[/tex] hours = $250

[tex]25 + 8h = 250\\\Rightarrow 8h = 250 -25\\\Rightarrow 8h = 225\\\Rightarrow h =\dfrac{225}{8}\\\Rightarrow \bold{h = 28.125\ hours}[/tex]

Therefore, the answer is:

Number of hours worked = 28.125 hours

Simplify. 4(2a) + 7(-4b) + (3 * c * 5)

Answers

Answer:

The answer is 8a-28b+15c

Step-by-step explanation:

I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY !!!!

Answers

Answer:

neither

Step-by-step explanation:

the correct answer should be ASA since 2 angles and 1 side is congruent

I really need this badly, click on photo if neccessary ​

Answers

Answer:

Aluminum

Step-by-step explanation:

To find the unit rate being used for the substance, we need to divide the grams by the cubic measurement. ([tex]g[/tex]/[tex]cm^{3}[/tex]).

108 grams divided by 40 is 2.7, which is the density of Aluminum, therefore making Aluminum the answer.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

what is 266 divided by 14

Answers

Answer:

19

Step-by-step explanation:

Why were Samaritans disliked by the Jews at the time?​

Answers

Answer: they had a bad reputation

Step-by-step explanation:

Jews and Samaritans hated each other because most Jews would not travel through Samaria. They went by a longer route to avoid Samaria and any contact with Samaritans.

Solve for x.
21x – 4
20x

Answers

Answer:Think x is 3

Step-by-step explanation:

HELP PLS I WILL GIVE BRAINLIEST

Answers

Answer:

$18 hun :)

Step-by-step explanation:

Answer:

18$

Step-by-step explanation:

                                           

solve for c: 2(c - 6) = 9c + 2​

Answers

It equals -2
Hope this picture helps

oh yeah this is big brain time boyz

Answers

Answer:so it would be between 14/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well first you should rearrange the equation to make it easier to graph. 8x-4y=16.

8x - 4y = 16.

8x +4y = 16 + 4y

8x -16 = 4y

Divide both sides by 4 to get y by itself.

2x - 4 = y

The y-intercept is -8 and the slope is 2x so the graph would look something like this.

Please help! 426 1/5 - 275 ½= ?

Answers

Answer:

150.7

Step-by-step explanation:

To solve this, we first turn both the fractions into decimals :

[tex]\frac{1}{5} = 0.2\\[/tex]    (add this to 426 to get 426.2)

[tex]\frac{1}{2} = 0.5[/tex]    (add this to 275 to get 275.5)

Then, just solve the equation :

426.2 - 275.5 = 150.7

If f(x)=6x-15 and f(a)=30, what is the value of a?
Please help

Answers

Answer:

[tex]a=7.5[/tex]

Step-by-step explanation:

Given the function [tex]f(x)=6x-15[/tex] and the output [tex]30[/tex] when [tex]x=a[/tex], we can write the equation:

[tex]6a-15=30[/tex]

[tex]6a=45[/tex]

[tex]a=7.5[/tex]

We can insert the value of [tex]a[/tex] into the function to verify the output equals [tex]30[/tex]:

[tex]f(a) = 6a-15[/tex]

[tex]= 6(7.5)-15[/tex]

[tex]=30[/tex]

∴ We have verified that [tex]a=7.5[/tex]

Hope this helps :)

I REALLY NEED HELP please somebody

Answers

Answer:

WITH WHAT WHATS WRONG???

Step-by-step explanation:

yes tell the question

A or B? I need the answer soon as possible.

Answers

Answer: is B

Explanation: I’m guessing because that’s a black picture

the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help

Answers

Answer:

115x=y

Step-by-step explanation:

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Answers

Answer:

Understandable. Have a good day.

thats so cool btw thanks for the free points have a great day !

Plz answer quickly!!!!!!!

Answers

Answer:

(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]

and

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]

3. The diagram shows two
corresponding vertices connected to
the center of rotation. Use the
protractor to measure it.
M

Answers

Answer: 90°

Step-by-step explanation:

i took the test

The value of angle APA' is 90°.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a point 'p' which is a fixed point.

Triangle ABC is rotated about the 'p' point such that the new location of A, B, and C becomes A', B', and C'.

The new triangle formed is triangle A'B'C'.

From the figure, we can clearly see that the angle APA' is a right-angle triangle.

m∠APA' = 90°

Thus, the value of angle APA' is 90°.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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