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3 years ago

Which of the following are solutions to the following equation?

Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

Answer:

x=-7

x=7

Step-by-step explanation:

we have

$2x^{2}-98=0$

Solve for x

Adds 98 both sides

$2x^{2}-98+98=0+98$

$2x^{2}=98$

Divide by 2 both sides

$2x^{2}/2=98/2$

$x^{2}=49$

take square root both sides

$x=\pm7$

therefore

The solutions are

x=-7

x=7

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Please help with numbers 6,7,8 will brainlist

Naily [24]

Answer:

6. -3

7. 16

8. -39

Step-by-step explanation:

3 0

2 years ago

Write a numerical expression to represent the phrase. the difference of 4 cubed and 25

7nadin3 [17]

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

3 0

1 year ago

How do u solve this?

kolbaska11 [484]

Answer:

You can solve this by substitution method

substitute the value of Y from 2nd equation in the first thet will give you the value of X and once your find the value of X you can substitute that value in any of the equation and get the answer

7 0

2 years ago

Read 2 more answers

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago

Please help!

Ainat [17]

(x – h)^2 + (y – k)^2 = r^2

this equation is a derivative of the equation of a circle

x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y

with h = -3 and k = 1

we can plug in each set of numbers and solve.

we find Z to be on the circle edge!

8 0

3 years ago