a group of kids ate ¾ of a pizza if each kid ate a ⅛ piece of the whole pizza how many kids shared the pizza?​

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

could the conditional statement be written in another way

Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]

Answer:

Yes.

Step-by-step explanation:

2 times 36 = 72 and 3 times 24 = 72

Hope this helped! ^-^

Answer:

55%

Step-by-step explanation:

100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.

55/100 = 55%

Answer: 55%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

Answer:

P(2,3) thats the answer ;)

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Answer: 2-

Step-by-step explanation:

Answer:

The answer is 1.788

Step-by-step explanation:

Answer:

∠BAT ≅ ∠CTA

Step-by-step explanation:

hzhdyrhfnv

The sides of the triangles which are congruent are BT ≅ CT, the correct option is C.

A triangle is a polygon with three sides, three angles and three vertices.

The triangle ∆BAT ≅ ∆CAT.

When two triangles are congruent, the corresponding sides are congruent by CPCTC.

It can be understood from the triangle vertices that AT is common side in both the triangles.

BT is corresponding to CT and so is equal.

It seems that your question is incomplete, the complete question is attached with the answer.

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The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

Answer:

4*(-5) = -20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer

y=3   x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

subtract 9 from both sides to get...

3x=3

divide 3 from both sides to get...

x=1

Step-by-step explanation:

this is very easy

2y=6

y=2/6=3

so ,

3(x+y)=12

3x+3y=12

3x+3+3=12

3x+9=12

3x=12-9

3x=3

x=3/3

x=1

Answer:

Step-by-step explanation:

Answer:

The correct answer would be 18 which means that the decimal is in the wrong spot.

Step-by-step explanation:

To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator

Reason:

Examples of fractions that has 10 and 100 as denominators are;

[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]

The steps to express the above fractions as decimals are;

Place a decimal point to the right to the number in the numerator as follows;

[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]

Move the decimal point to the left a number of places equal to the number of zeros in the denominator

Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point

Where the denominator is a 100, the decimal point is moved left two places, as follows;

[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]

Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator

100 = 10² in the denominator (move the decimal point two places left)

10 = 10¹ in the denominator (move the decimal point one place left)

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Answer:

the best deal is 4 candy bars for $2.80

Step-by-step explanation:

4/5= 80 cents

2.8/4= 70 cents

7.2/10= 72 cents

1.5/2= 75 cents

the best deal is 4 candy bars for $2.80

Answer: The angles are 30 30, 150, 150

Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles

Answer:

30, 150, 150

Step-by-step explanation:

Answer:

Search it up

Step-by-step explanation:

GO ON GOOGLE sorry i couldnt help :(

Answer:

$31.70

Step-by-step explanation:

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.

Answer: Aaron is wrong. The first option is better as it costs less than the second option.

Step-by-step explanation:

Arron can join a gym for $19.99 per month plus an annual fee of $12.80.

Since Aaron wants to spend 10 months at the gym, this will cost him:

= $12.80 + ($19.99 × 10)

= $12.80 + $199.9

= $212.7

Paying $21.59 for 10 months will be:

= $21.59 × 10

= $215.9

The first option is better as it costs less than the second option.

The answer is B, hope this helped you!

Answer:

[tex]|A-38|=5[/tex]

33% or 43%

Step-by-step explanation:

Given that poll is accurate within [tex]\pm5[/tex].

38% voters have voted for candidate A.

[tex]A[/tex] is the percent of voters who will vote for candidate A.

So, value of A can be 38+5=43%

OR

38-5 = 33%

We will write an absolute function for the above situation.

But, first of all, let us have a look at the definition of Absolute value function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

The the value of function gives us a negative sign when the value inside the modulus function is negative.

[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and

[tex]A-38[/tex] will be positive when [tex]A>38[/tex].

This difference is given as [tex]\pm5[/tex].

Therefore, the absolute value function can be written as:

[tex]|A-38|=5[/tex]

Case 1: [tex]A < 38[/tex]

As per definition of modulus function, it will open with a negative sign.

[tex]-A+38=5\Rightarrow A = 33[/tex]

Case 2: [tex]A>38[/tex]

As per definition of modulus function, it will open with a positive sign.

[tex]A-38=5\Rightarrow A = 43[/tex]

Therefore the answer is 33% or 43%

Answer:

The correct option is B.

Step-by-step explanation:

The inequality is: -2(3x - 1) < 8.

Solve for x as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for x is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity

Answer:

$74.80

Step-by-step explanation:

10% = 8.8

5% = 4.4

8.8 + 4.4 = 13.2

88 - 13.2 =$74.80

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

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