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3 years ago

Consider the polynomial equation x(x - 3)(x + 6) (x-7) -0. Which of the following are zoros of the

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

The zeros are : 0, 3, -6, 7.

Step-by-step explanation:

Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.

When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.

Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0

⇒ To make the equation zero, at least one of the following should be true:

x = 0

x - 3 = 0 ⇒ x = 3

x + 6 = 0 ⇒ x = -6

x - 7 = 0 ⇒ x = 7

Therefore, x can take any one of the above values and that would make the polynomial zero.

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Andy is kayaking on a river in Morgan County, moving down the river at a speed of 10 miles per hour. Meanwhile, Tatsu is on a je

posledela

The answer is 22 minutes:

20x for Tatsu and 10x for Andy

30x = 11

x = 11/30

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7 0

3 years ago

Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

motikmotik

Answer:

y = 3 $(2)^{x}$

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a $b^{5}$ → (2)

Divide (2) by (1)

$\frac{ab^5}{ab^2}$ = $\frac{96}{12}$ , that is

b³ = 8 ( take the cube root of both sides )

b = $\sqrt[3]{8}$ = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 $(2)^{x}$ ← is the exponential function

3 0

3 years ago

Pa answer po thank you <br><br><br><br>

Arisa [49]

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.