Exercise No. 1

Select ALL the correct answers.

jolli1 [7]

Answer:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

(-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

Option A is correct.

Option B:

3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

Option B is wrong.

Option C:

2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

Option C is correct.

Option D:

(2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

Option D is correct.

4 0

2 years ago

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested.1 The seller announced that t

Usimov [2.4K]

Answer:

0.4

Step-by-step explanation:

Given:-

- The uniform distribution parameters are as follows:

a = $10,000 b = $15,000

Find:-

Suppose you bid $12,000. What is the probability that your bid will be accepted?

Solution:-

- We will denote a random variable X that defines the bid placed being accepted. The variable X follows a uniform distribution with parameters [a,b].

X ~ U(10,000 , 15,000)

- The probability of $12,000 bid being accepted can be determined by the cdf function of the uniform distribution, while the pmf is as follows:

Pmf = 1 / ( b - a )

Pmf = 1 / ( 15,000 - 10,000 )

Pmf = 1 / ( 5,000 )

$cdf = \int\limits^x_a {\frac{1}{5000} } \, dy \\\\cdf = {\frac{y}{5000} }\limits^x_a \\\\P(X$

6 0

3 years ago

A certain triangle has a 30° angle in a 60° angle. Which must be a true statement about the triangle

Lady bird [3.3K]

Answer:

It is a right triangle.

Step-by-step explanation:

A right triangle is a triangle with at least one angle with 90 degrees.

We know that every triangle has 180 degrees. The other unknown angle is 180 - (30+60) = 180 - 90 = 90. That means that the other angle is 90 degrees. Therefore, it is a right triangle

We also know that in this triangle, that the square of one side plus the square of another is side is equal to the square of the hypotenuse of the triangle. (According to Pythagorean theorem)

6 0

3 years ago

In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll

fiasKO [112]

Answer:

x = 30°
RS = 30°, SR = TU = 120°, UR = 90°
∠P = 45°
∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

x + 4x +4x +3x = 360°

12x = 360°

x = 30°

__

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

RS = 30°
ST = 120°
TU = 120°
UR = 90°

__

(c) Angle P is half the difference of arcs TU and RS:

∠P = (TU -RS)/2 = (120° -30°)/2

∠P = 45°

__

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

∠UTS = 120°/2 = 60°

4 0

3 years ago

3x + 4y = 8<br> Is it linear? If so how do I graph it

VikaD [51]

Yes it is linear
It is a negative slope
I am attaching pic of graph
The slope is -3/4
Y intercept is (0,2)

8 0

2 years ago