Find the product of 2(5.9) mentally using the distributive property.

12x^2-11x+2 sho work

Scrat [10]

Answer: (3x−2)(4x−1)

Step-by-step explanation:

Start factoring with -11x.

12x^(2)-11x+2

12x2+(−8−3)x+2

12x2+(−8x−3x)+2

12x2−8x−3x+2

Factor the highest common denominator of each group.

Group the first two terms and the last two.

(12x2−8x)+(−3x+2)

Factor the highest common denominator (MCD) of each group.

4x(3x−2)−(3x−2)

Factoring the highest common denominator 3x−2.

(3x−2)(4x−1)

4 0

4 years ago

How would you graph (on a number line) (x-8)(x-8)<0??

Marta_Voda [28]

Answer:

The graph is the empty number line (no solution)

Step-by-step explanation:

Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.

_____

Comment on quadratic inequalities

In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between a and b. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.

5 0

4 years ago

If you had 1 billion dollars all in $100 dollar bills, how many times could they

RUDIKE [14]

Answer: 1.94 times.

Step-by-step explanation:

Lenght of $100 dollars = 6.14 inches

Lenght of North Carolina = 500 miles long.

Now, in 1 billon = 1,000,000,000

If we divide it by the value of each bill, we will found the number of bills, we have:

N = 1,000,000,000/100 = 10,000,000 bills.

Knowing that each bill is 6.14 inches long, the length of the N bills together is:

6.14in*10,000,000 = 61,400,000 in

Now we need to write this in miles; 63,360 inches is one mile.

Then 61,400,000 in = (61,400,000/63,360) = 969.1 miles.

Now we can find that:

969.1mi/500 mi = 1.94

This means that with 1 billion dollars all in $100 dollar bills we can stretch them 1.94 times along the length of North Carolina.

6 0

3 years ago

Is 100,60,50 a right triangle

zzz [600]

Answer:

I dont think so because a right triangle should have a 90 degree

7 0

4 years ago

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If you decide to reject the n

Tems11 [23]

Answer:

B

Step-by-step explanation:

When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.

A. This statement is false. A true statement is, "If you decide to accept the null hypothesis, then you can support the alternative hypothesis."

B. This statement is true.

C. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can't support the alternative hypothesis."

D. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can assume the alternative hypothesis is false."

5 0

3 years ago

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