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3 years ago

(02.06 MC)

1 answer:

5 0

The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 ≤ 10
2x≤10+6
x≤8

-(2x-6) ≤ 10
2x-6 ≥ -10
2x≥-10+6
x≥-4

The graph of the inequality would be: 
x≤8 and x≥-4
or
-4≤x≤8

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What is the square root of 32?

fiasKO [112]

Answer:

5.65

Step-by-step explanation:

hope this will help

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3 years ago

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A classroom has ten students. Three students are freshman, two are sophomores, and five are juniors. Three students are randomly

ycow [4]

Answer:

0.25

Step-by-step explanation:

We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

(3C1)(5C2)=(3)(10)=30 and

Pr(A∩B)=30/120=0.25

3 0

3 years ago

Here is an equation 2x + 9 = -15. What are three different equations that have the same solution as that equation? Show or expla

Sliva [168]

To find those equations we can do any multiplication or division of both sides of the equation:

Examples:

2x + 9 = -15 | · 2

4x + 18 = -30

2x + 9 = -15 | · (-1)

-2x - 9 = 15

2x + 9 = -15 | ÷ 2

x + 4.5 = -7.5

There is the same solution: x = -12.

6 0

2 years ago

For the polynomial function ƒ(x) = −x6 + 3x4 + 4x2, find the zeros. Then determine the multiplicity at each zero and state wheth

murzikaleks [220]

There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.

You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.

-x^6 + 3x^4 + 4x^2

-x^2(x^4 - 3x^2 - 4)

Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.

-x^2(x^4 - 3x^2 - 4)

-x^2(x^2 - 4)(x^2 + 1)

Now we can use the factors of two perfect squares rule to factor the middle parenthesis.

-x^2(x^2 - 4)(x^2 + 1)

-x^2(x - 2)(x + 2)(x^2 + 1)

We would also want to split the term in the front.

-x^2(x - 2)(x + 2)(x^2 + 1)

(x)(-x)(x - 2)(x + 2)(x^2 + 1)

Now we would set each portion equal to 0 and solve.

First root

x = 0 ---> no work needed

Second root

-x = 0 ---> divide by -1

x = 0

Third root

x - 2 = 0

x = 2

Forth root

x + 2 = 0

x = -2

Fifth and Sixth roots

x^2 + 1 = 0

x^2 = -1

x = +/- $\sqrt{-1}$

x = +/- i

7 0

3 years ago

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity. If nick donated $70 to a local chari

S_A_V [24]

Answer:

The total amount = $175

Step-by-step explanation:

Let the total amount in his bank account = x

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity

So, he donates with $\frac{2}{5} x$

If nick donated $70 to a local charity

so, $\frac{2}{5} x = 70$

solve for x

∴ x = 5*70/2 = 350/2 = $175

So, The total amount = $175

3 0

2 years ago