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2 years ago

Write an equation for this linear function. f(0)=3 and f(3)=0 f(x)=

Mathematics

1 answer:

Jlenok [28]2 years ago

5 0

Answer:

f(x)=-x+3

Step-by-step explanation:

contains (0, 3) and (3, 0)

slope = (3-0)/(0-3)=3/-3=-1

f(x)=-x+b

b=3

f(x)=-x+3

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Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y grea

Nataly [62]

Answer:

Option C.

Step-by-step explanation:

The given expression is

$\sqrt{128x^8y^3z^9}$

It can be written as

$\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}$

$=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}$

$=\sqrt{(8x^4yz^4)^2\cdot 2yz}$

$=8x^4yz^4\sqrt{2yz}$

Therefore, the correct option is C.

6 0

2 years ago

In the following proportion, what does w equal? 3/4 = w/28 A. 7 B. 8 C. 18 D. 21

DIA [1.3K]

W=21
To get from 4 to 28 you multiply by 7, so 3x7=21.

7 0

3 years ago

Read 2 more answers

Can you share a strategy For multiplying?

Nadusha1986 [10]

Answer:

Step-by-step explanation:

It's like the same thing for adding. For example if you have 3 x 4. You can add 3 four times or you can add 4 three times. Like this.

3 + 3 + 3 + 3 = 12 because you know 3 + 3 =6 and 6 + 6 equals 12.

4 + 4 + 4 = 12 because you know 4 + 4 = 8 and 8 + 4 equals 12.

I hope this helped. I am sorry if I didn't do much of help. Have a wonderful day.

8 0

2 years ago

Your friend made a spare in the fourth did you?

Bas_tet [7]

Yes you or I have ecause thats what friends do.

8 0

2 years ago

What is the probability of obtaining 5 heads from 5 coin flips? Give your answer to 5 decimal places.

katovenus [111]

Answer:

0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.

Step-by-step explanation:

For each coin flip, there are only two possible outcomes. Either it is heads, or it is tails. The probabilities for each flip are independent from each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

For each coin toss, heads and tails are equally as likely, so $p = \frac{1}{2} = 0.5}$

What is the probability of obtaining 5 heads from 5 coin flips?

This is P(X = 5) when n = 5.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.

6 0

3 years ago