All categories

3 years ago

HELP PLS I NEED IN 5 MINUTES

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

x = 8

Step-by-step explanation:

Triangle OBC is congruent to triangle OBA (SAS ---- side angle side)

You might be interested in

WILL GIVE BRAINLIEST!

tino4ka555 [31]

Answer:

D. 4X^2+1

Step-by-step explanation:

This is because when you add one after the function it moves it up one unit. When you multiply the first part by four, it causes the function to vertically stretch making it narrower.

8 0

3 years ago

israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

$x+6=x^2+8x+16$

Step 4 simplify the expression:

$0=x^2+8x-x+16-6$

$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3\neq -5$

Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0

3 years ago

What is the best scenario for the most profit in purchasing office equipment?

Zolol [24]

Answer:

A, the first answer, the cash option

Step-by-step explanation:

APR = annual percentagte rate. Knowing this, we know that the full percent of interest is taken every 12 months. So, knowing this, we can figure this question out pretty easy by subtracting the revenue of each answer by the full payment of the loan and finding out which is the highest.

The first gives 15k profits (45-30)

The second has a loan of 25,000 over 18 months, which is 1.5x 15 = %22.5 interest you have to pay on this loan, which is 5625 dollars (.225 * 25000), added to the loan of 25,000 is 30,625 and a rev of 40k, which profits ~10k so not the right ans

The third has 2.5 x the interest rate of 12 so 30% of your loan of 28,000 which brings you to 8400 in interest and 36400 total, subtracting from 45000 is ~9k profit

The fourth is 20% of 32,000 which is 6,400, added is 38,400 subtracted from 50k rev is 11k in profit

Looking at these, we can conclude the highest profit is the cash option.

Also, a little tip, APR only holds interest on the principal loan, while APY is compound interest

7 0

3 years ago

Pls help<br> simplify 24x2 − 52x + 20

Naily [24]

Step-by-step explanation:

$24x^{2} - 52x + 20$