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kupik [55]
3 years ago
15

Use the remainder theorem to find P(2) for P(x) = x^4 - 3x^3 - 6x^2 + 9 .

Mathematics
1 answer:
kramer3 years ago
4 0

Step-by-step explanation:

soln;

given; p(x) = x^4 - 3x^3 - 6x^2 + 9

using remainder theorem;

p(x) = p(a)

      = p(2)

      = (2)^4 - 3(2)^3 - 6(2)^2 + 9

      = -23

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Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost i
Delvig [45]

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

\text{Amount paid for 5 avocados}=\$10-\$4.50

\text{Amount paid for 5 avocados}=\$5.50

Now, we will divide $5.50 by 5 to find cost of each avocado.

\text{Cost of each avocado}=\frac{\$5.50}{5}

\text{Cost of each avocado}=\$1.10

Therefore, the cost of each avocado is $1.10.

3 0
3 years ago
In an experimental design, the variable the researcher has control over and
Nady [450]

Answer:

manipulated variable or the independent variable

Step-by-step explanation:

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Can someone tell me the answer?
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7 0
4 years ago
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
antiseptic1488 [7]

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

(9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}(the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

brainly.com/question/3112062

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