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3 years ago

Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below. (4x+5)(-3x-1)

1 answer:

4 0

The answers are:
A. (-16x²+10x-3)+(4x²-29x-2)
 C. 2(x-1)-3(4x²+7x+1)
D. (2x²-11x-9)-(14x²+8x-4)
The explanation is shown below:
1- When you apply the distributive property to the polynomial (4x+5)(-3x-1), you obtain the following form:
 -12x²-19x-5
2- If you apply the same property to the polynomials shown in the options above and add the terms with equal exponents, you will obtain that the polynomials that has the same form are:
A. (-16x²+10x-3)+(4x²-29x-2):
-16x²+10x-3+4x²-29x-2
-12x²-19x-5
C. 2(x-1)-3(4x²+7x+1)
2x-2-12x²-21x-3
-12x²-19x-5
D. (2x²-11x-9)-(14x²+8x-4)
2x²-11x-9-14x²-8x+4
-12x²-19x-5

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A taste test asks people from Texas and California which pasta they prefer,

melamori03 [73]

Answer:

Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

Step-by-step explanation:

We are given that a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table is given in the question.

A person is randomly selected from those tested.

And we have find that are being from Texas and preferring brand A independent events or not.

Firstly, we know that these two events will be independent when;

P(Texas) = P(Texas/brand A)

Now, P(Texas) = $\frac{\text{Number of people from Texas}}{\text{Total number of people}}$

= $\frac{125}{275}$ ≈ 0.45

Also, P(Texas/brand A) = $\frac{P(Texas \bigcap Brand A)}{P(Brand A)}$

= $\frac{\text{Number of people from Texas and preferring brand A}}{\text{Number of people preferring brand A}}$

= $\frac{80}{176}$ ≈ 0.45

Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

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2 years ago

I need help on my homework

soldi70 [24.7K]

Answer:

$\displaystyle m\angle AED=32.5^\circ$

Step-by-step explanation:

Angles in a Circle

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

$\displaystyle m\angle AED=\frac{AD-BC}{2}$

$\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}$

$\displaystyle m\angle AED=32.5^\circ$

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2 years ago

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Bumek [7]

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1 year ago

2/3g + 1/2g = 14 multi step equations, i need help knowing the steps

MaRussiya [10]

Find the common denominator

It is 6

Multiply everything by 6

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2 years ago

when full the gas tank of a car holds 15 gallons. it now contains 12 gallons. what percent represents how full the tank is?

Masteriza [31]

Hello!

to find the percent of a whole, use this equation here:

(remaining) / (total) = X

X * 100 = %

in this case:

12 / 15 = 0.8

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I hope this helps, and have a nice day!

5 0

2 years ago