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2 years ago

You drive your car for 4.5 hours at an average speed of 70 miles per hour how far did you go

1 answer:

6 0

In this question, you are given the average speed of the car(70miles per hour) and the time of car travel(4.5 hours). The information is enough to find the car travelling distance. The equation would be:

Distance traveled= average speed * duration= 70miles/h * 4.5 h= 315miles

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Find the GCF (greatest common factor) of 8 and 7.

FrozenT [24]

Answer: Its 1

Step-by-step explanation:

4 0

2 years ago

The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

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Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is True.

7 0

2 years ago

6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a samp

BigorU [14]

Step-by-step explanation:

We have proportion p = 50/100 = 0.50

Probability of success = 1-0.50 = 0.50

To conduct simulation, let's assume experiment is to be done 10 times

1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.

2. We get a random sample and get the size of people who support an against smoking with kids in the car.

3. We repeat this process after drawing sample and also get the number of those in support of ban.

4. After getting n, we find proportion.

8 0

1 year ago

Name the longest and shortest sides of the triangle. 95° 40.0 450

pentagon [3]

Answer:

Hypotenuse is the longest side. And the side opposite to small angle are small sizes

Step-by-step explanation:

450 is longest

40.0 is the shortest

4 0

2 years ago

Write an algebraic expression. The quotient of -9 and y

Alenkasestr [34]

Hey there!

“The quotient of -9 and y”

• Facts When you come across the word “QUOTIENT” in algebra/ math in general it usually MEANS you’re DIVIDING both your numbers by each other

• Guide: -9 will be your numerator and y would be your denominator (or -9 would be in your front whereas y will be in the back)

So, based on your guide we have your ANSWER should look like: “-9 ÷ y”

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0

1 year ago

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