MATHEMATICS HIGH SCHOOL

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. How much is left now?

Answers

Answer 1

Answer:

Answer: 4/9

Step-by-step explanation:

First find the LCD between 2/3 and 2/9. Which is 9

Then you place the fractions into like terms

2 =6

3 9

6/9 - 2/ 9= 4/9

Answer 2

Answer: First, find the LCD; that is 9.

2/3 = 6/9

6/9 – 2/9 = 4/9

There is 4/9 of the pizza left.

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5q+4 -11/2= 2q + 3/2(2q-1)

Find the inverse of f(x)=(x-1)^3

Answers

$f (x)=(x-1)^3 \n y =(x-1)^3 \n\n\sf Replace~ x ~with~ y ~and~ vice~ versa \n x = (y-1)^3 \n \sqrt[3]{x} =y-1 \n \n Solve~for~y\n\n \boxed {y= \sqrt[3]{x} +1}$

Nick has 189 trading cards. Kyle has 198 trading cards. Who has fewer cards ?

Answers

Nick has fewer cards Kyle 198- 189 that Nick has = Nick has 9 less trading cards

Nick has fewer trading cards. 189 < 198; there is a difference of 9.

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. x - 5; 3x2 + 7x + 40

Answers

Answer:

The polynomial (x -5) is not a factor of second polynomial $3x^2 + 7x + 40$

Step-by-step explanation:

Factor theorem states that if you divide a polynomial p(x) by a factor x -a of that polynomial, then you will get a zero remainder.

i.,e $p(x) = (x-a)q(x)$ which means that if x - a is a factor of p(x), then the remainder, when we do synthetic division by x= a, will be zero.

Determine whether the first polynomial is a factor of the second polynomial.

Given the polynomial: $f(x)=3x^2 + 7x + 40$

For $x-5$ to be a factor of $f(x)=3x^2 + 7x + 40$ , the factor theorems implies that x = 5 must be a zero of f(x).

Now, to test whether $x-5$ is a factor;

Set x -5 = 0

⇒x = 5

Then,

we will use synthetic division method to divide f(x) by x =5

you can see the figure as shown below in the attachment.

Since, the remainder is 150 which is not equal to zero, then Factor theorem says that (x-5) is not a factor of $3x^2 + 7x + 40$

Answer:

No,(x-5) is not a factor of $3x^2+7x+40$

Explanation:

Factor theorem states that if (x-a) is a factor of the function f(x) then f(a) = 0.

We can use this theorem to check whether a polynomial is a factor of other polynomial or not.

Further Explanation:

Here, we have to check if (x-5) is a factor of $3x^2+7x+40$ or not.

For this we can use the above mentioned factor theorem.

In our case,

a = 5

and $f(x)=3x^2+7x+40$

So, we find f(5) and see if it is zero or not. If f(5) = 0 then (x-5) must be the factor the polynomial.

$f(5)=[tex]3(5)^2+7(5)+40\n\n=75+35+40\n\n=150\neq0$

Since, f(5) is not zero. Hence, from factor theorem, (x-5) is not a factor of $3x^2+7x+40$

Learn More:

brainly.com/question/12482195 (Answered by Kudzordzifrancis)

brainly.com/question/11378552 (Answered by Alinakincsem)

Keywords:

Factor theorem, Remainder theorem.

Please help with my question please and I’ll give brainly

Answers

area is 1/2×h×w

area=0.5×0.5m×2.5m= 0.625m^2!

i just saw it needs to be in simplified fraction haha, then 1/2×1/2×5/2=5/8!

Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?

Answers

16 10 divided by 5/8 = 16

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off

Answers

The right answer for the question that is being asked and shown above is that: "A: Sale of 10% off and a successive discount of 10% off." The store that would let you pay the least amount for an item that is priced $360 is the Store A.

The correct answer is Store A: Sale of 10% off and a successive discount of 10% off.

Further explanation:

Discount is the reduction of amount in the cost price of any item.

The following formula for discount can be used when the rate of discount and the cost price is given.

$\boxed{{\text{Discount}}=\left( {\frac{{{\text{rate of discount}}}}{{100}}}\right)*{\text{cost price}}}$

The following formula for selling price can be used when the discount and the cost priceis given.

$\boxed{{\text{Selling price}}={\text{Cost price}}-{\text{Discount}}}$

Given:

The price of an item is $\boxed{\$360}$ .

Calculation:

Store A is allowing 10% off and then allowing a successive discount of 10%.

The first discount of an item by the use of the formula can be calculated as,

$\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)* 360\n&= 36\n\end{aligned}$

Now, the selling price after allowing the first discount is,

$\begin{aligned}{\text{Selling price}}&={\text{360}}-36\n&=324\n\end{aligned}$

The successive discount on the item can be calculated as,

$\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)*324\n&=32.4\n\end{aligned}$

Now, the selling price after allowing second discount is,

$\begin{aligned}{\text{Selling price}}&={\text{324}}-32.4\n&=291.6\n\end{aligned}$

Therefore, the amount we have to pay to Store A is $\boxed{\$291.6}$ .

Store B is giving 15% off with no additional discount.

The discount of an item by the use of the formula can be calculated as,

$\begin{aligned}{\text{discount}}&=\left( {\frac{{15}}{{100}}}\right)*360\n&=54\n\end{aligned}$

Now, the selling price after allowing discount can be calculated as,

$\begin{aligned}{\text{Selling price}}&={\text{360}}-54\n&=306\n\end{aligned}$

Therefore, the amount we have to pay to Store B is $\boxed{\$306}$ .

Store C is giving $35 off and then allowing a successive discount of 10%.

Now, the selling price after allowing first discount can be calculated as,

$\begin{aligned}{\text{Selling price}}&={\text{360}}-35\n&=325\n\end{aligned}$

The successive discount on the item can be calculated as,

$\begin{gathered}{\text{discount}}=\left( {\frac{{10}}{{100}}}\right)*325\n=32.5\n\end{gathered}$

Now, the selling price after deducting second discount can be calculated as,

$\begin{aligned}{\text{Selling price}}&={\text{325}}-32.5\n&=292.5\n\end{aligned}$

Therefore, the amount we have to pay to Store C is $\boxed{\$292.5}$ .

It can be clearly seen that if we buy an item which is priced at $360 from Store A then we have to pay least amount of $291.6.

Learn more:

1. Learn more about profit and loss brainly.com/question/2479097

2. Learn more about domain and range of thefunctionbrainly.com/question/3412497

3. Learn more about the word problem for magnitude of the acceleration brainly.com/question/1597065

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Profit and Loss

Keywords: Percentage , profit , loss, discount, cost price, selling price, marked price, rate of discount, amount, succesive discount, reduction, maximum, price .

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