Find the values of p and q given that x⁴ + x³ - 7x² + px + q is divisible by (x - 1) and (x + 2)​

Answer:

30 guests

Step-by-step explanation:

If each guest eats 9/10 lbs of chocolate, then they eat 0.9 lbs of chocolate. We have 27 lbs of chocolate to be eaten.

To solve this, simply:

[tex]\frac{27}{.9} =30[/tex]

where 27 lbs is divided by 0.9lbs per guest to equal 30 quests.

I hope this helps!!! :)

Answer:

I'm pretty sure that would be 6.1 - considering negative numbers and positive numbers are opposites.

Answer:

-12

Step-by-step explanation:

Level: Grade 7 Mathematics

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Steps & Solution:

1. The relationship that has constant of proportionality greater than 1

[tex]\frac{p}{r} =\frac{6}{4} =\frac{3}{2}[/tex] { the calculator of a certain proportionaility }

[tex]p=\frac{3}{2} r[/tex]

2. The relationship that has constant of proportionaility less than 1

[tex]\frac{r}{p} =\frac{4}{6} =\frac{2}{3} \\r=\frac{2}{3} p[/tex]

Answer:

-9 and -8 ...............

K. 48-24=24

I. 48+24=72×2= (144) so 144

An equation is formed of two equal expressions. The total number of marbles that Ivan had at the first is 40.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of marbles with Katherine be represented by k, while the number of marbles with Ivan is represented by x.

Given that the total number of marbles available with Katherine and Ivan is 96. Therefore, we can write,

k + x = 96

Solving the equation for k,

k = 96 - x

Further, Katherine lost 24 marbles to Ivan during a game and at the end of the game, Ivan had twice as many marbles as Katherine. Therefore, we can write the equation as,

2(k - 24) = (x + 24)

2k - 48 = x + 24

Substituting the value of k,

2(96 - x) - 48 = x + 24

192 - 2x - 48 = x + 24

192 - 48 - 24 = x + 2x

3x = 120

x = 120/3

x = 40

Hence, the total number of marbles that Ivan had at the first is 40.

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Answer:

1[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The answer is  1 1/2 because you have to divide 3 and 2

Whole number: 1

Fraction:1/2

3 divided by 2 is 1.5 or 1 1/2

Hope this helps!! :)

Answer:

18

Step-by-step explanation:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

Answer:

x = 2

Step-by-step explanation:

pls can i have brainliest?

Answer:

1 x 1 = 1.

6 x 1 = 6cm^2

multiply by 6 cause 6 faces

Answer:

y = 1/4x + 11/4

Step-by-step explanation:

Given the slope, m = 1/4, and the point, (1, 3):

We can substitute these values into the slope-intercept form, y = mx + b, in order to solve for the y-intercept.  

The y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

y = mx + b

3 = 1/4(1) + b

3 = 1/4 + b

Subtract 1/4 from both sides:

3 - 1/4 = 1/4 - 1/4 + b

11/4 = b

The y-coordinate, b, of the y-intercept is 11/4.

Therefore, the slope-intercept form is: y = 1/4x + 11/4

Please mark my answers as the Brainliest if you find this explanation helpful :)

Answer:

yes they are equivelant

Step-by-step explanation:

the reason they are equivelant is because they go from 3 apples to 6 apples to 9 apple, and 5 oranges to 10 oranges to 15 oranges. so this mark's it is also tymced by three

Answer: 600

Step-by-step explanation:  12 months in one year. 12x50=600 months

Answer:

600 months

Step-by-step explanation:

In 1 year there are 12 months, so we take 50 (the years) and multiply that by 12

50x12=600 and we fact check by 600÷12=50. It takes 600 months to build the house over 50 years.

Answer:

algebraic proof

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

Given is the statement as -

"An _____ is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

Therefore, the complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

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Answer:

23×24 =27

answer is 7

answer is 7

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\\dfrac{a^{m}}{a^{n}} = a^{m-n}\\\\\\2^{3}*\dfrac{2^{5}}{2^{1}}=2^{3}*2^{5-1}\\\\=2^{3}*2^{4}\\\\=2^{3+4}\\\\=2^{7}[/tex]

Answer:

THEORTICAL PROBABILITY:

1A) F

1B) B

1C) A

1D) D,E,F

2A) R

2B) B

3A) odd number

3B) No, same.

3C) less than 5

================

1A) 8/30=4/15

1B) 10/30=1/3

1C) 12/30=2/5

1D) 18/30=3/5

1E) 22/30=11/15

1F) 22/30=11/15

2A) 3/8

2B) 1/8

2C)4/8=1/2

2D) 5/8

2E)3/8

3A) 50

3B) 150

3C) 250

3D) 100

3E) 100

Step-by-step explanation:

Answer:

80 minutes

Step-by-step explanation:

Work done by Mark in 1 minute = 1/120

Work done by Alexis in 1 minute = 1/240

Work done by Mark and Alexis in 1 minute = 1/120 + 1/240

                      [tex]= \dfrac{1*2}{120*2}+\dfrac{1}{240}\\\\=\dfrac{2}{240}+\dfrac{1}{240}\\\\=\dfrac{3}{240}\\\\=\dfrac{1}{80}[/tex]

They both can load  all the packages in 80 minutes.

Answer:

no

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

9514 1404 393

Answer:

  15x +5y = 85 . . . . . equation for money spent

Step-by-step explanation:

The money spent will be the sum of products of numbers of tickets and their cost:

  15x +5y = 85

__

The number of tickets bought will be the sum of the numbers of each kind.

  x +y = 13

_____

The solution of this system of equations is (x, y) = (2, 11).

Answer:

y = 2x - 5.

Step-by-step explanation:

hope this helps. I had this question and got it right!

Answer:

-3.072

Step-by-step explanation:

-2.56 multiplied by 1.2= -3.072

Answer:

C. x+8=3x

Step by step explanation:

First, subtract 8 from both sides of the equation

x+8=3x

x+8-8=3x-8

Then, simplify it by subtracting again

x+8-8=3x-8

x=3x-8

Then, subtract 3x from both sides of the equation

x=3x-8

x-3x=3x-8-3x

Then, simplify by combining the terms

x-3x=3x-8-3x

-2x=3x-8-3x

-2x=3x-8-3x

-2x= -8

Then, divide both sides of the equation by the same term

-2x= -8

-2x/-2 = -8/-2

Then, simplify by cancling terms that are in both the numerator and denominator

-2x/-2 = -8/-2

x= -8/-2

Finally, divide the numbers

x= -8/-2

x=4

And that's your answer! :)

Answer:

$33.26 remaining after every single purchase, he can also purchase 7 biking outfits.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

cuz is the shape in the picture so that's triangle

Answer:

My Right answer is Yes

Step-by-step explanation:

I hoped it helps ..

Answer: -6x

Step-by-step explanation: Since when x is 0, the function's output is 0, the function can only have terms with x in it. You then notice a pattern that x is always being multiplied by -6. You could also use point slope form to solve it, either way you get f(x)=-6x

Answer:

f(x) = -6x

Step-by-step explanation:

The linear equation given in the form of a table is shown as:

[tex]\left[\begin{array}{ccc}x&f(x)\\0&0\\1&-6\\2&-12\\3&-18\end{array}\right][/tex]

Because the equation is linear, in order to find the equation written in slope-intercept form, divide the rise (f(x)) by the run (x):

0 ÷ 0 = 8

-6 ÷ 1 = 8

-12 ÷ 2 = 8

-18 ÷ 3 = 8

Because the quotient for each relation is -6, the linear equation can be written as f(x) = -6x.