MATHEMATICS HIGH SCHOOL

Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5).6x3 − 24x2 + 9x − 30
6x3 + 9x + 30
6x3 − 24x2 + 9x + 30
6x3 − 24x2 + 39x + 30

Answers

Answer 1
Answer:

Answer:

Option 3rd is correct

6x^3-24x^2+9x+30

Step-by-step explanation:

Given the expression:

(3x-6)(2x^2-4x-5)

Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;

3x(2x^2-4x-5)-6(2x^2-4x-5)

using distributive property we have;

6x^3-12x^2-15x-12x^2+24x+30

Combine like terms we have;

6x^3-24x^2+9x+30

therefore,  the correct simplification of the given expression is, 6x^3-24x^2+9x+30
Answer 2
Answer: The answer is C:  6x^3 - 24x^2 + 9x + 30

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What is 3- 6/7 as an improper fraction ?? please help

Answers

the improper fraction is 27/7

To convert the mixed number 3 6/7 to an improper fraction, we need to combine the whole number part with the fractional part.

First, multiply the whole number (3) by the denominator (7), which gives us 21. Then, add the numerator (6) to get 27.

Next, write the sum (27) as the numerator and keep the denominator (7) the same. The resulting improper fraction is 27/7.

This means that there are 27 parts (numerator) out of 7 equal parts (denominator). The improper fraction emphasizes the total number of parts beyond a whole number.

Converting the mixed number 3 6/7 to the improper fraction 27/7 allows for easier mathematical operations and comparisons with other fractions.

Therefore, the improper fraction is 27/7

Learn more about improper fraction here

brainly.com/question/11553119

#SPJ6

Answer:

27/7

you have to times the denominator and the whole number then add the numerator

Yeah I’m totally lost on this one tbh

Answers

(f\circ g)(x)=f(g(x))\n\nD_g:x\in[-5,\infty)\n\n(f\circ g)(x)=(√(x+5))^2+2=x+5+2=x+7\nD:x\in[-5,\infty)\n

Therefore, the second option.

Solving Exponential Equations (lacking a common base)
Solve the exponential equation 6u = 22

Answers

Answer:

u = log 22 / log 6

u = 1.725

Step-by-step explanation:

Let's start by saying:

When ever you have an exponential equation with a different base, you attack

Answer:

lg22/lg6

Step-by-step explanation:

6^u = 22

lg(6^u) = lg22

ulg6 = lg22

u = lg22/lg6

Write each sum as a product of the GCF of the two numbers : 75 and 90

Answers

find factors and group common ones
75=3*5*5
90=2*3*3*5
common gropu is 3*5=15

75=15*5
90=15*6
ab+ac=a(b+c)
a is GCF
75+90
5(15)+5(6)=5(15+6)

Jenny is a 60 percent free-throw shooter. She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points( if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points ( she makes both shots.) Assuming that the probability for each shot is independent, what number of points is Jenny most likely to make?
How many points on average, can Jenny expect to make when she shoots a one-and-one (when she only gets a second shot if she makes the first)?


A.
0



B.
2



C.
1



D.
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E.
.36

Answers

Let the points be X.

         x                0              1              2
P(X = x)          0.4            0.24        0.36

The expected points, E(X), are found as follows:
E(X)=(0*0.4)+(1*0.24)+(2*0.36)=0.96

Suppose you own a rowboat and sometimes go rowing in the summer. In June, you are planning to go rowing with two of your friends (three people total in the boat), and in July, you are planning to go rowing with just one friend (two people total in the boat). Will you put in more effort (row harder) on the three-person trip or on the two-person trip?

Answers

Answer:

The three-person trip require more effort (row harder) than the two person-trip

Step-by-step explanation:

The number of persons in the boat determines the mass of the boat

The mass of the boat with three people in total is more than the mass of the boat with only two person's

Mass is a measure of inertia, which is the resistance of a body to accelerate, and therefore, to the application of a force

Therefore, on the three-person trip were three people are in the boat, the boat has more mass, and therefore more inertia and will require more effort (force) than on the two-person trip that has a lesser mass
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