Choose the answer that correctly simplifies the equation: 3 x (6 x 7

Find the solutions to the system of equations. Select all that apply. Y=x^2-1 y=2x-2

Sliva [168]

Answer:

Option C (1, 0)

Step-by-step explanation:

We have a system with the following equations:

$y = x ^ 2-1\\\\y = 2x-2$

The first equation is a parabola.

The second equation is a straight line

To solve the system, substitute the second equation in the first and solve for x.

$2x-2 = x ^ 2 -1$

Simplify

$x ^ 2-2x + 1 = 0$

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.

These numbers are -1 and -1

Therefore

$x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0$

Finally the solutions are

$x = 1\\y =0$

8 0

3 years ago

Read 2 more answers

Find the critical value of x2 based on the given information H1 >3.5 n=14 a=0.05

egoroff_w [7]

Answer:

The degrees of freedom are given by:

$df = n-1=14-1=13$

The significance level is $\alpha=0.05$ and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

$\chi^2_{\alpha}= 22.362$

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

Step-by-step explanation:

We have the followign system of hypothesis:

Null hypothesis: $\sigma^2 \leq 3.5$

Alternative hypothesis: $\sigma^2 >3.5$

The degrees of freedom are given by:

$df = n-1=14-1=13$

The significance level is $\alpha=0.05$ and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

$\chi^2_{\alpha}= 22.362$

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

4 0

3 years ago

Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount tha

Lisa [10]

Answer:

Step-by-step explanation:
Interest formula -
I = P × R × T
I = 3,280 × 0.3% × 9
What I basically did there wws multiply the amount of money, the simple interest, and the time.
Turn 0.3% into a decimal by dividing by a 100 which should give you 0.003

I = 3,280 × 0.003 × 9

Put that into a calculator, you get $88.56

Now, that's just the interest amount. Now you add it back to 3,280 to get the *total* amount.

3,280 + 88.56 = 3,368.56

Cathy ends us paying $3,368.56

Hope what I said made sense.

5 0

2 years ago

PLEASE HELP ME QUICK!!

9966 [12]

Answer: yes kevin skied as long as lori

3 0

2 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8 then a =?

Contact [7]

Answer:

a = 1

Step-by-step explanation:

Given the point (a, 3) is on the line: 5x + y = 8.

Any point on the line satisfies the equation.

So, (a, 3) should satisfy the equation 5x + y = 8

Substituting x = a and y = 3, we get:

5(a) + 3 = 8

$\implies 5a = 5$

⇒ a = 1

Therefore, (1, 3) is the point on the line.

3 0

3 years ago

Choose the answer that correctly simplifies the equation: 3 x (6 x 7 – 2.5 x 4)