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3 years ago

87°

Mathematics

1 answer:

Tresset [83]3 years ago

5 0

B.59
Explanation: the interior angles of a triangle equal 180.

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The value 5 is an upper bound for the zeros of the function shown below. f(x)=x^4+x^3 -11x^2-9x+18

Inessa [10]

Answer: True

Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.

Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0

The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).

For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.

7 0

3 years ago

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How can you find the area of a polygon that is not one for which you know an area formula

Anon25 [30]

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together

8 0

3 years ago

If DAB = 80°, then DAC =

vodka [1.7K]

Answer:

Step-by-step explanation:

DAB =DAC...........

6 0

2 years ago

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Which best describes the meaning of the statement if A then B

Oliga [24]

Answer:

$a => b \equiv ( \neg a \ \lor \ b )$

Step-by-step explanation:

You can understand the statement from many perspectives, but in terms of proposition logic it is best to understand it as "negation of a" or " b" in mathematical terms is written like this

$a => b \equiv ( \neg a \ \lor \ b )$

You can show that they are logically equivalent because they have the same truth table.

3 0

3 years ago

Wayne is using a waterproof covering to cover a storage locker that measures 4 ft wide, 10 ft tall, and 6 ft long. Which is the

Margaret [11]

Given the dimensions of locker box are length = 6 feet, width = 4 feet, and height = 10 feet.

Wayne wants to cover the box, so we need to find its total surface area. The box is in the shape of rectangular prism.

We know the formula for total surface area of rectangular prism is given as follows :-

$Total \;Surface \;Area = 2*(lw + wh + hl)$

T.S.A. = 2·(6 x 4 + 4 x 10 + 10 x 6) = 2·(24 + 40 + 60) = 2·(124) = 248 feet²

Surface Area = 248 squared feet

To cover the locker with waterproof covering, we needed to find the surface area of the box. As we multiplied two dimensions at a time in the formula, so the units are "squared feet".

Hence, option A is correct i.e. squared feet or ft².

5 0

3 years ago