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

what is 02.15cm in meters

Answers

Answer:3200

Step-by-step explanation:

What is the product of (-a + 3)(a + 4)

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

After multiplying and opening the brackets

we get

-a^2-4a+3a+12

=-a^2-a+12. ( simplifying)

hope it helps.....

Answer:

[tex] \boxed{\sf -a^2 - a + 12} [/tex]

Step-by-step explanation:

⇒(-a + 3)(a + 4)

⇒-a(a + 4) + 3(a + 4)

⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)

⇒-a² - 4a + 3a + 12

⇒-a² - a + 12

What is X? Show your work

Answers

Answer:

x=-3/7

Step-by-step explanation:

multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7

Antonela is planning on painting her room. A gallon of paint covers 110 square feet.
If Antonela's room is 10 feet by 8 feet and has an 8 foot ceiling, how many gallons
would she need to buy?

Answers

She would have to buy 6 gallons of paint because 10 times 8 times 8 = 640 then divide that by 110 which equals something like 5.8 rounded up to 6

1.Solve : 3(5 + 7) - 4(8 + 4) = * 2.solve:-7 x -10 ill give you an free robux account if you get them correct

Answers

Answer:

1) -12, 2) 70

Step-by-step explanation:

Hope this helps :)

Answer:

oh someone got it already :(((( ugh

Step-by-step explanation:

ro bux

Please Help 10 Points

Answers

Answer:

-2x^2-6x-15

Step-by-step explanation:

Sam and John are finding −3 − 14. Who is correct?
Sam John
-3 - 14 = -3 + 14 -3 - 14 = -3 + (-14)
=11 = -17
Describe how you got the answer PLZS

Answers

Answer:

-17

Step-by-step explanation:

ok well I can't really see Sam and John's answer but -3-14 is equal to -17

if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:

-3+-14 then you just add.

With Sam and John whichever one had -17 as their answer is correct

A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *

Answers

Answer:

1020

Step-by-step explanation:

Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
What is the difference between an irrational number and an integer?

In your explanation, be sure to include various keywords you learned in this unit.

Answers

an integer is a rational number with a denominator of 1.or, more commonly just what you think of as a counting number, but may be negative.an irrational number cannot be expressed as a fraction. When written down as a decimal, they never terminate, so a decimal value is not exact. There are various kinds of irrational numbers.

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%

Answers

It is 58% you get this answer because you have 29 yellow out of 50 flips. You divide 29 by fifty to get .58 which as a percentage is equal to 58%

Answer:

58 %

Step-by-step explanation:

The combined height of the world's three tallest buildings is 6,360 feet. The building in Dubai is 745 feet taller than
the building in Makkah. Taipei's building is 301 feet shorter than Makkah's.
The equation (x + 745) + x + (x - 301) = 6,360 represents the scenario.
What can be determined from the given information? Check all that apply.
x represents the height of the building in Dubai.
The expression (x - 301) represents the height of the building in Taipei.
The building in Makkah is 1,972 feet tall.
The height of Dubai's building is 1,227 feet tall.
The height of Taipei's building is 1,671 feet tall.

Answers

Answer:

b , c , d

Step-by-step explanation:

Answer:

The answer is B, C, and E.

Hope this helps!!! Love you!!

Step-by-step explanation:

What is the dependent variable in the graph below? a. month of the year b. days of snow fall c. time d. amount of snowfall PICTURE BELOW!

Answers

Answer:

Days of snowfall

Step-by-step explanation:

the y- axis

) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.

Answers

Answer:

a)value attached below

b)Yo = [tex]\frac{-27}{20}[/tex]

Step-by-step explanation:

A) solving initial value problem  

[tex]y' - 5y = 15t + 3e^t[/tex]

y(0) = yo

hence the solution of the initial value problem : y(t)

Y(t) =

Attached below is the detailed solution

B) Yo = [tex]\frac{-27}{20}[/tex]  separates the solutions  as

t →∞

this is because when  y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]

                                     y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]

To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?

Answers

Answer:

5 cups

Step-by-step explanation:

Answer:

1/2 : 1

2 : 4

3 : 6

Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.

The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2

Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.

Step-by-step explanation:

Blake is working to find the slope given 2 points.
(-1,5) and (3, 13)
ent
She used this formula:
If you're given two points
(x1, Y.) and (x2,Y2)
Y2-Y.
m =
X2-X,
Replacing the values, she gets:
13-5
3-(-1),
What is the slope?

Answers

Answer:

-1/2

Step-by-step explanation:

The slope is

select the correct answer. what is the sum of -6 4/5 and 6 4/5? A. 12 4/5. B. 29/5 C. 0 D. -12 4/5​

Answers

Answer:

C.

Step-by-step explanation:

-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.

What is the answer to (10^4)(5^2)^3 divided by (10^3)(5^3)

Answers

Answer:

19531250

By divided it

the price of a share of stock for a company XYZ at the beginning of the week was $24.75. over the next 5 days, the share of the stock gained $2.50 on Monday lost $3.25 on Tuesday lost $0.75. on Wed, gained $1.25 on Thursday, and gained 4.75 on Friday

Answers

Answer:

$29.25

Step-by-step explanation:

The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.

Given, Beginning price =  $24.75

Over the next 5 days,

On Monday, gain of  $2.50 represented by; + $2.50.

On Tuesday, loss of $3.25 represented by; - $3.25 .

On Wednesday,  loss of $0.75 represented by; - $0.75.

On Thursday, gain of $1.25 represented by ;+ $1.25.

On Friday, gain of $4.75 represented by; + $4.75.

The Price of the share of stock at the end of Friday would be;

= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)

= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)

= $29.25

Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket. What is the greatest number of bricks Lynn can make? bricks How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks? pounds

Answers

Answer:

10

And 4

Step-by-step explanation:

Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than  and that there are  at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?

Answers

Answer:

The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.

Step-by-step explanation:

The sum of angles at the center of the circle = The sum of angles at a point = 360°

Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°

The steps to partition a circle into three are;

1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B

2) Mark a point, C, at a distance of half the radius from the center of the circle,  O, to the point, B, on the circumference, using a straight edge

3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)

4) Draw radial lines from the circle center, O, to the points D and E

5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.

f(x) = 2x and h(x) = 2x^2;Find f • h(3)

Answers

Answer:

36

Step-by-step explanation:

start by finding x for h(x)

2(3)^2

18

f(x) = 2(18)

36

round -6(5-7s)=20 pls help

Answers

Answer:

Step-by-step explanation:

-6(5-7s) = 20

-30 + 35s = 20

Add 30 both sides

35s = 50

Divide by 35 both sides

S=1.4

NEED ASAP 100 POINTS!!!!!!!!!

Answers

Answer:

3) a. f(-4) = 2

   b. f(0) = 0

   c. f(3) = -1.5

   d. f(-5) = 0

   e. x = -4

    f. x= 0

4) a. f(-1) = 1

   b. f(3) = -1

   c. 1

   d. -5

5) f(6) = 2

   f(2) = 4

   f(0) = 7

   f(5) = 1.5

    x=4

Answer:

see below

answers as required.

3)

a. [tex]f[/tex](-4) = 2

b. [tex]f[/tex](0) = 0

c. [tex]f[/tex](3) = -1.5

d. [tex]f[/tex](-5) = 0

e. x = -4

f. x= 0

4)

a. [tex]f[/tex](-1) = 1

b. [tex]f[/tex](3) = -1

c. 1

d. -5

5)

[tex]f[/tex](6) = 2

[tex]f[/tex]f(2) = 4

[tex]f[/tex](0) = 7

(5) = 1.5

x=4

How many miles per hour is 1 mile per minute

Answers

60 miles per hour will be the answer

Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the total number of toy cars in Ariana's collection?

Answers

Answer:

40 cars

Step-by-step explanation:

The total percentage of Ariana's car collection should be = 100%

35% of the collection = 14

1 percent = 14/35

1 percent is therefore 0.4

To get the total number of cars in Ariana's collection, we multiply 100 by 0.4

= 100 x 0.4 = 40

Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.

Another way to solve this is by cross multiplication

35% = 14

100% = ?

When we cross multiply we have:

(100x14)/35

= 1400/35

= 40

Thank you!


What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope

Answers

Answer:

y = mx + b

m is the slope and b is the y intercept, if I remember correctly

hope this helps :)

Please solve need help!

Answers

Answer:

ST 45

Step-by-step explanation:

9x=4x+25

5x=25

x= 5

plug back in 9(5)

The midpoint of gh is m(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H

Answers

Answer:

Step-by-step explanation:

(-2 + x)/2= 4

-2 + x = 8

x = 10

(2 + y)/2 = -3

2 + y = -6

y = -8

(10, -8) for endpoint H

make f the subject of the formula c=[tex]\frac{5(f-32)}{9}[/tex]

Answers

Answer:

[tex]f=\frac{9c}{5}+32[/tex]

Step-by-step explanation:

[tex]c=\frac{5\left(f-32\right)}{9}[/tex]

Switch sides:

[tex]\frac{5\left(f-32\right)}{9}=c[/tex]

Multiply both sides by 9:

[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]

[tex]5\left(f-32\right)=9c[/tex]

Divide both sides by 5:

[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]

[tex]f-32=\frac{9c}{5}[/tex]

Add 32 to both sides:

[tex]f-32+32=\frac{9c}{5}+32[/tex]

[tex]f=\frac{9c}{5}+32[/tex]

if it takes jessica 28.9 seconds to walk to the bus stop and there are 260 days she takes the bus to school a year. Then how many minutes a year does she spend walking to the buss stop? Round to the nearest minute

Answers

Answer:

Step-by-step explanation:

If there are 260 days and she takes 28.9 seconds to get to the bus stop, then that means 260 * 28.9 = 7514 seconds to get to the Stop. 7514 / 60 = number of minutes which is 125 rounded

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