Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.

Answers

Answer 1

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1


Related Questions

FIRST TO ANSWER GETS BRAINLIEST!!!
Solve using Elimination
5x-4y=14
4x+7y=1

Answers

Answer:

y=-1

x=2

Step-by-step explanation:

5x-4y=14 multiply by 4

4x+7y=1 multiply by 5

20x-16y=56

20x+35y=5 eliminate by subtracting

-51y=51

y=-1

plug back in to get x

4x+7(-1)=1

x= 2

What type of quantity is momentum? (2 points)
It is a scalar quantity because it involves magnitude only.
It is a vector quantity because it involves magnitude only.
It is a scalar quantity because it involves magnitude and direction.
It is a vector quantity because it involves magnitude and direction.

Answers

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

What is the solution of the following one-step equation?
10. X + 5 = 10
a. X = -15 c. X = 5 b. X = 15 d. x = -5

Answers

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

what does x and y equal ?

Answers

Answer:

Solve for x or y,  Ax + By = 0

x=1  y=unknown number.

Step-by-step explanation:

They mean exactly the same thing in mathematics. I prefer X equals Y to X is equal to Y because the former has less syllables.

If one kilogram equals 2.2 pounds how many kilograms equal 112 pounds

Answers

About 50.8 kilograms is equal to 112 pounds.

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

[tex]y=kx[/tex]

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

[tex]1=k(2.2)[/tex]

Isolate the variable k:

[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]

Set up another equation like so:

[tex]\frac{y}{x}=\frac{y}{x}[/tex]

Insert values:

[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]

Solve for y. Cross multiply:

[tex]1(112)=2.2y\\\\112=2.2y[/tex]

Isolate the variable. Divide both sides by 2.2:

[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]

So, there are about 50.9 kilograms in 112 pounds.

:Done

For each graph write the domain and range using inequalities.

Answers

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

Question 9
To calculate momentum, the following two variables are needed:
mass and velocity
mass and acceleration
O temperature and velocity
speed and acceleration

Answers

Answer:

Step-by-step explanation:

Mass and velocitry

Evaluate ab – 0.5b when a = 1 and b = 5

Answers

15 - 0.5 x 5 = 12.5

Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240

Answers

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

Help me if someone can help

Answers

Answer:

1.11111111 is rational

1.567 is a rational number.

Step-by-step explanation:

1.11111111 is rational

1.567 is a rational number.

1.101101110 is irrational

so its choice 1 and 2

WILL GIVE BRAINLIEST!!!
1. 3a -4a -5a
2. -7a + a - 2a
3. - 8a + 4a -a
4. -2a -2a + 3a
5. -2a + 2a - 3a
6. -6a + 3b - 4c -8 + a -3b -4c + 4

Answers

Answer:

1. -6a

2. -8a

3. -5a

4. -a

5. -3a

6. -6a -8c -4

Step-by-step explanation:

All you need to do is combine like terms

help me pleaseeeee
:))))

Answers

-6/7 (Hope it helps)

Answer:

-6/7

Step-by-step explanation:

since both fractions have a common denominator (bottom part of fraction) you would end up subtracting 4-10 which would give you a -6. the denominator stays 7 so you end up with -6/7

What is the area of a rectangle with a length of 418 feet and a width of 2 feet?

Answers

The answer is A=836ft^2

A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only.


What is the probability of a player winning with one dart?

Answers

Answer:

The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square

Step-by-step explanation:

= π/9

20% of the gummy bears in a bag are blue. There are 12 blue gummy bears in the bag. Shade the grid to show the percent of gummy bears that are blue. How many gummy bears are in the bag?

Answers

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Given ABCE is a rectangle, find the length of AD

Help me

Answers

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = [tex]\sqrt{36+64}[/tex]

      = [tex]\sqrt{100}[/tex]

      = 10

Therefore, measure of side AD = 10 units

what is the lowest common denominator for 31/40 and 5/6?

Answers

answer : 31/40 = 93/120

5/6 = 100/120

Which of the following is equivalent to √54 ? 9√6 3 √9 3 √6 2√27

Answers

It would be 3 √6
Hope that helped


[tex] \large{ \underline{ \bf{ \pink{ \ast \: hello \: mates \: \ast}}}}[/tex]
Here is a question for you....
✓ In the attachment, a question related to absolute value is given, and I need calculation along with the answer of the question.

Do explain the answer with proper explanation and spam answers are not allowed !!​

Answers

Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

The area of a square is given by A = 82, where s is the length of each side of the square.
If the area of a square room is 81 square meters, what is the length of 1 side of the room,
in meters?

Answers

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Find the value of each variable by getting a quadratic equation equal to 0 first, then solve. Justify x^2 + 32 = 12x

Answers

Answer:

x = 4 ; x = 8

Step-by-step explanation:

[tex]x^2 + 32 = 12x[/tex]

bring all the terms to one side and set equal to 0

[tex]x^2 - 12x + 32 = 0[/tex]

factor the polynomial

[tex](x-8)(x-4) = 0[/tex]

set each factor equal to zero and solve

[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]

[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]

Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)

Answers

pretty sure that the value of x is 60 since

5 times 60 = 300
300 + 60 = 360 :)

what are the first 4 terms in the sequence defined by the explicit rule f(n)=n²+2?

a 1 2 3 4
b 3 6 11 18
c 4 6 8 10
d 9 16 25 36​

Answers

Answer:

b

Step-by-step explanation:

How to write 100100 in words ​

Answers

One hundred thousand and one hundred dollars.

The perimeter of a square is defined by the function p(s)=4s if the perimeter is no more than 48 cm, which statement describes the domain for s, the side length of the square?

A. 0 < s ≤ 12
B. [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]
C. All real numbers
D. s ≤ 12​

Answers

Answer:

A. 0 < s ≤ 12

Step-by-step explanation:

Given

p(s) = 4s

If

P ≤ 48

Then

4s ≤ 48s ≤ 12

Since perimeter can't be negative or zero, the domain will be:

0 < s ≤ 12

Correct choice is A

What is N equal to? I think I know I want to make sure tho :/

Answers

Answer:

n = 5/7 or 0.7

Step-by-step explanation:

The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.

1/2(5n + 8) = 3/4(12 - 6n)

2.5n + 4 = 9 - 4.5n

2.5n + 4.5n = 9 - 4

7n = 5

Divide both sides by 7, and you get n = 5/7 or 0.7

help me pls math is so confusing

Answers

here is what i got, it’s just a matter of dividing by 100 when you have to find the percent of something. then you times that number by whatever the percent is!

What is the supplement of a 110 degree angle

Answers

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

In a normal distribution, 51 is the score that is two standard deviations above the mean, and 36 is the score one standard deviation below the mean. Find the mean

Answers

Answer:

The mean is 41

Step-by-step explanation:

Here , we are interested in finding the mean.

Firstly, let the standard deviation be x and the mean be y.

We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.

Mathematically;

51 - 2(x) = y

y + 2x = 51 •••••••••(i)

We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36

Mathematically, that would be;

y-36 = x •••••••(ii)

Substitute ii into i directly;

We have

y + 2(y-36) = 51

y + 2y -72 = 51

3y -72 = 51

3y = 51 + 72

3y = 123

y = 123/3

y = 41

what is the additive inverse ( opposite ) of -50​

Answers

Answer:

50

Step-by-step explanation:

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