The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q​

Answer: So group 3 of 16 contains 2 are boys . Means 16 +16 are tow groups are of boys. Then remaining 16 are girls. It completed the all conditions. 2/3 class retio. Total 48 students and 16 girls.

Step-by-step explanation:

Hope this helps!

Answer:

percentage cost of airfare change= (difference in cost / original cost )×100

% age = (250-180/ 250) ×100

=70/250 ×100

7000/250

= 28%

Answer:

38-2(5) = 28

So the temperature would be 28 degrees celsius

Answer: Teperature at 5PM will be 28°C

Ok so at 12 its 38°C

And it dcreases at 2°C an hour, we need to find the teperature at 5 o clock.

The number of hours between 12 and 5 mutiplied by 2 will give us the trail in temperature and then subtracting the trail i temperature witht the temperature a 12 will give us the teperature at 5 o clock.

SO,

hours between 12 PM and 5 PM is 5 hours

As, the temperature decreases at a uniform rate of 2°c per hour

⇒5×2°C

⇒10°C

Now the temperature at 5 PM will be 38°C-10°C=28°C

Step-by-step explanation:

the length of PQ =

√(-7-5)²+(6+4)²

=√(-12)²+(10)²

= √144+100

=√244

= 15.6 units (D)

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total cost in piggy bank with pennies and quarters = $2.85

And, The number of pennies is 5 more than three times the number of quarters.

Let Number of quarters = x

And, Number of pennies = y

                                       = 5 + 3x

Since, Total cost in piggy bank with pennies and quarters = $2.85

So, we can formulate;

0.25x + 0.01y = $2.85

Substitute the value of y as;

0.25x + 0.01(5 + 3x) = 2.85

0.25x + 0.05 + 0.03x = 2.85

0.28x + 0.05 = 2.85

x = 10

And, y = 5 + 3x = 5 + 3 × 10 = 35

Thus,

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

Learn more about the linear expression visit:

https://brainly.com/question/28718030

#SPJ2

Answer:

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. ... Choices B, C, and D are incorrect and may result from errors in applying the.

Step-by-step explanation:

Answer: x=√10 or x=−√10

Step-by-step explanation:

Answer:

57.1 sq in

Step-by-step explanation:

Answer:

Area = [tex]57.1cm^{2}[/tex]

Step-by-step explanation:

[tex]\frac{(10cm)(12cm)sin(72)}{2}[/tex]

= 57.1cm^2

Answer:

-7x - 36

Step-by-step explanation:

x X 2 - 9 x X - 36

2x - 9x - 36

Answer:

( x + 3 ) ( x - 12 )

Step-by-step explanation:

x^2 - 9x - 36

= x^2 + 3x - 12x - 36

= x ( x + 3 ) - 12 ( x + 3 )

= ( x + 3 ) ( x - 12 )

Answer:

1: B

2: C

(I need 20 characters so bla bla bla bla bla bla bla)

Step-by-step explanation:

Y=4(5)-9

=11

you must follow the formula given

Answer:

y=11

Step-by-step explanation:

y=mx-b

mx-b=y

4 * 5 - 9 = y

20 - 9 = y

11 = y

Answer:

D

Step-by-step explanation:

Amanda's unit rate would be

s=50m

while Mary's is

s=60m

60-50 is 10, meaning the answer would be D.

Mary saves $10 more than Amanda every month.

Hope this helps! :)

Hi there!

We can find an equation that models Amanda's savings using the equation:

y = km, where:

k = rise / run (Amount/months)

Plug in a set of values from the table:

k = 100/2 = 50

y = 50m

We know that Mary saves y = 60m dollars a month, so we can determine the correct comparison by plugging in a value of 1 month into both equations:

Amanda:

y = 50(1) = $50

Mary:

y = 60(1) = $60

The difference between Mary's and Amanda's savings is $60 - $50 = $10, so each month, Mary saves $10 more than Amanda.

The correct answer is D.

Answer:

[tex]\frac{1}{p-s}[/tex]

Step-by-step explanation:

[tex](p+s)(p^2-s^2)^{-1}[/tex]

[tex](p+s)\frac{1}{(p^2-s^2)}[/tex]

[tex]\frac{p+s}{p^2-s^2}[/tex]

[tex]\frac{p+s}{(p+s)(p-s)}[/tex]

[tex]\frac{1}{p-s}[/tex]

Step-by-step explanation:

the distance between the points (1, 4) and (-5, -4) on the coordinate plane =

√(-5-1)² + (-4-4)²

=√(-6)²+(-8)²

=√36+64

=√100

= 10 units

Answer:

4

Step-by-step explanation:

she multiplied 6x24, got 144 and said 1/144

Answer:

(8(-1)+2>-6

-8+2>-6

-6>-6

Step-by-step explanation:

Answer: B.no

Step-by-step explanation:

To figure this out, plug (1, -4) into the equation y=-2x. 1 is the x value, so we plug it into the x. -4 is the y value, so we plug it into the y spot. In the end we get -4=-2(1). Is this true? No, it isn't. Therefore it is not an answer

Answer:

-2, -1 ,2 ,2 ,2.22.25 that's the answer

Answer:

2d=180based on the 3d parallel =to 0xyc⁶=12(0)

Answer:

Step-by-step explanation:

2/5 và -1/2

Answer:

option number 2

gfud lzygochcivobisufiblvi

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the Solution :

Using Trigonometry,

Answer:

1.2 or 1.22 (Doesn't matter)

Step-by-step explanation:

Answer:

$1666.67

Step-by-step explanation:

$450 is the total amount she earned and $200 is the weekly wage she received. That means that $250 came from tips.

$200 + .15 (x) = 450

.15x=250

x=$1666.67

Answer:

5 pounds and 8 ounces of seed per one acre.

Step-by-step explanation:

We have our two values, 44 pounds and 8 acres.

It also says it takes 44 pounds of seed for every 8 acres of farmland.

So to get the value of how much seed per one acre we need, we divide 44 by 8.

Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)

1) 0.0 + 5.5 = 5.5

2) 5.5 + 5.5 = 11.0

3) 11.0 + 5.5 = 16.5

4) 16.5 + 5.5 = 22.0

5) 22.0 + 5.5 = 27.5

6) 27.5 + 5.5 = 33.0

7) 33.0 + 5.5 = 38.5

8) 38.5 + 5.5 = 44.0