Describe the ordered pair (12,24) in the context of the problem.
Plzzz help I’ll mark brainiest

Given:

The polynomials [tex]ax^3+4x^2+3x-5[/tex] and [tex]x^3-3x^2-5x+a[/tex] leave the same remainder when divided by (x-3) and (x+2) respectively.

To find:

The value of a.

Solution:

Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is equal to p(c).

The polynomials [tex]f(x)=ax^3+4x^2+3x-5[/tex] is divided by (x-3). So, the remainder is f(3).

[tex]f(3)=a(3)^3+4(3)^2+3(3)-5[/tex]

[tex]f(3)=27a+36+9-5[/tex]

[tex]f(3)=27a+40[/tex]

The polynomial [tex]g(x)=x^3-3x^2-5x+a[/tex] is divided by (x+2). So, the remainder is g(-2).

[tex]g(-2)=(-2)^3-3(-2)^2-5(-2)+a[/tex]

[tex]g(-2)=-8-12+10+a[/tex]

[tex]g(-2)=-10+a[/tex]

It is given that the remainders are same. So,

[tex]f(3)=g(-2)[/tex]

[tex]27a+40=-10+a[/tex]

[tex]27a-a=-10-40[/tex]

[tex]26a=-50[/tex]

Divide both sides by 26.

[tex]a=\dfrac{-50}{26}[/tex]

[tex]a=\dfrac{-25}{13}[/tex]

Therefore, the value of a is [tex]\dfrac{-25}{13}[/tex].

Answer:

So is it 29 sweets

Step-by-step explanation:

Marsha and Mark both sold 14 numbers of sweets each.

To understand more, check below explanation.

Let us consider that  Marsha and Mark both sold x number of sweets each.

Since Marsha sells her sweets for $0.25 each.

Amount Marsha earns = 0.25x

Mark sells his for $0.50 each.

Amount Mark earns = 0.50 x.

Given that, Marsha had $4.00 in her pocket in the morning, and Mark had $0.50.

                     4 + 0.25x = 0.50 + 0.50x

                       0.25x = 3.5

                              x = 3.5/0.25

                              x = 14

Hence, Marsha and Mark both sold 14 numbers of sweets each.

Learn more about the linear equation here:

https://brainly.com/question/14323743

Answer:

B) 0.2

Step-by-step explanation:

1/4 as a decimal 0.25

0.25 x 0.8 = 0.2!

c:

Answer:

BEEP BEEP..... ITS B!!!!

LOL

I am serious tho it is B!

Answer:

Look at the attachment sent below

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

There are 100 cents in one dollar

Answer:

100 cents

Step-by-step explanation:

Answer is 7:9

Explanation:

To find this answer, you write the two given numbers in the order presented. Separate them with a colon. So we have 14:18

Afterward, divide both parts by the GCF 2 so we go from 14:18 to 7:9

Answer:

y + 9 = 6(x - 4)

Step-by-step explanation:

point slope eq: y-y₁=m(x-x₁)

Answer:

6x-33=y

Step-by-step explanation:

mx+b=y

m=6

(4,-9)=(x,y)

6(4)+b=(-9)

24+b=-9

b=-9-24

b=-33

6x-33=y

Answer:

(x, y) (2, 7)

Step-by-step explanation:

Choose the correct ordered pair. 2x + 3 = 13

x = 2

Substitute x = 2 into the equation

2(2) + 3

= 4 + 3

= 7

The correct ordered pair is (x, y) (2, 7)

Answer:

O v2.2.5

Step-by-step explanation:   im not positive so dont

rely on me

Answer:

42.5

Step-by-step explanation:

Answer:

slope = [tex]\frac{-1}{5}[/tex]

Step-by-step explanation:

Find the slope of the line using the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. The formula requires two points from the line - and looking at the graph, (1, 10) and (6, 9) are two points the line passes through (but any other points the line also passes through would work fine, too). So, substitute the points' x and y values into the formula and solve:

[tex]\frac{(9)-(10)}{(6)-(1)} \\= \frac{-1}{5}\\[/tex]

Therefore, [tex]-\frac{1}{5}[/tex] is the slope.

Answer:

12,402 plus the cash that you already had.

Step-by-step explanation:

Please mark me brainliest

12402 = 954 x 13

YOU WILL BE RICHHHHH

Answer:

2

Step-by-step explanation:

You need to multiply 2*1*1/4 due to volume formula

Answer:

4 /4

Step-by-step explanation:

Answer: b) pi = C/2r

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B, it is B, it Is B, it is B

Answer:  5.0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\sqrt{6} + \sqrt{7} = 5.09 \\\\[/tex]

Therefore 5 is the greatest integer that is less than that.

Answer:

8

Step-by-step explanation:

just do 16% × 50 = 8

hope this helps

Answer:

The coordinates of point R are [tex]R(x,y) = (6, -4)[/tex].

Step-by-step explanation:

From Geometry we understand that magnitude of Diameter is twice the magnitude of Radius. Vectorially speaking, both radius and diameter are collinear. That is:

[tex]\overrightarrow{QR} = 2\cdot \overrightarrow{QC}[/tex] (1)

Where:

[tex]\overrightarrow{QC}[/tex] - Vector radius.

[tex]\overrightarrow{QR}[/tex] - Vector diameter.

If we know that [tex]Q(x,y) = (1,8)[/tex] and [tex]C(x,y) = (3.5,2)[/tex], then coordinates of point R are, respectively:

[tex]R(x,y) -Q(x,y) = 2\cdot C(x,y)-2\cdot Q(x,y)[/tex]

[tex]R(x,y) = 2\cdot C(x,y) -Q(x,y)[/tex]

[tex]R(x,y) = 2\cdot (3.5, 2) - (1,8)[/tex]

[tex]R(x,y) = (6, -4)[/tex]

The coordinates of point R are [tex]R(x,y) = (6, -4)[/tex].

Answer:

C. b=-2ax

Step-by-step explanation:

Answer: the equation is 3x=12

Step-by-step explanation:

The coefficient is 3 because the coefficient is the number being multiplied by the variable (x).

To find the solution you have to divide both sides of the equation by 3 to find what times 3 will give you 12. After dividing both sides by 3 you get this equation. X=4

So this means that the solution is 4.

Hope this helps :)

Answer:

W=9

Step-by-step explanation:

=> 10-1=W (Transpose 1 of R.H.S to L.H.S)

=> 9=W

Hope this helps you.

Answer:

-9=w

Step-by-step explanation:

I hope this helps, If you have any more questions I'm free to try solve it!

Answer:

Step-by-step explanation:

If 7.5 % has green eyes, then 92.5% (the complement given by 100%-7.5%)  dont have green eyes. 92.5% of 120 is given by

0.925*(120)=111

111 students in the grade dont have green eyes.  

Answer:

variable =A (x)

Constant= C (5)

operation=B (+)

Answer:

A C B

Step-by-step explanation:

Answer:

1/4 or 0.25

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that 11 study both Art and Biology and there are 44 students in class. To determine the probability that a student picked at random studies Art and Biology,

the number of possible outcome = 11

number of total outcome = 44

the probability the student studies Art and Biology

= 11/44

= 1/4

= 0.25

Answer:

Step-by-step explanation:

To factorize ,

6a+10ab

=2a(3+5b)    [ common 2a from both the terms]

Answer:

55 + 98 = 153

Step-by-step explanation:

Answer:

The answer is 816.30

Step-by-step explanation:

23.50 times 35.8= 841.30. Then your going to subtract that number minus 25 which equals 816.30. Hope this helps!

Answer:

816.30

Step-by-step explanation: