If a+b=3, ab=2, the value of a^2+ab^2?

Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how

Yanka [14]

Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

sales tax= 8/100 x 264=21.12

total money spent = 264+21.12=285.12

3 0

3 years ago

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Use the rational zeroes theorem to state all the possible zeroes of the following polynomial:

Mkey [24]

Answer:

All the possible zeroes of the polynomial: f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$ are ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$ by using rational zeroes theorem.

Step-by-step explanation:

Rational zeroes theorem gives the possible roots of polynomial f(x) by taking ratio of p and q where p is a factor of constant term and q is a factor of the leading coefficient.

The polynomial f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$

Find all factors (p) of the constant term.

Here we are looking for the factors of 4, which are:

±1 , ±2 and ±4

Now find all factors (q) of the coefficient of the leading term

we are looking for the factors of 3, which are:

±1 and ±3

List all possible combinations of ± $\frac{p}{q}$ as the possible zeros of the polynomial.

Thus, we have ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$ as the possible zeros of the polynomial

Simplify the list to remove and repeated elements.

All the possible zeroes of the polynomial: f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$ are ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$

Learn more about Rational zeroes theorem here -https://brainly.ph/question/24649641

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7 0

2 years ago

There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c

VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0

3 years ago

What is 10000 - 82583 + 81627 X 2<br>

OlgaM077 [116]

Answer:

90,671

Step-by-step explanation:

10,000- 82,583+ (81,627 x 2)

5 0

3 years ago

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Please select the right answer from the question above. And detail exactly how you find the answer

Fiesta28 [93]

Answer:

option D

Step-by-step explanati

3 0

3 years ago