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3 years ago

What expression is equivalent to (3x^2+4x-7)(x-3)

Mathematics

1 answer:

vodka [1.7K]3 years ago

5 0

Answer:

$\arge\boxed{B.\ (3x^2+4x-7)(x)+(3x^2+4x-7)(-3)}$

Step-by-step explanation:

$\text{The distributive property:}\ a(b+c)=ab+ac.\\\\(3x^2+4x-7)(x-3)=(3x^2+4x-7)(x)+(3x^2+4x-7)(-3)$

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What are the zeros of the equation -90 =x(x-18)

Charra [1.4K]

Answer:x= 9+3i, 9−3i

4 0

4 years ago

The table represents a function.

Zarrin [17]

We have to complete the statement:

" The rate of change in the function y=x+4 is ______ the rate of change of the function represented in the table."

Let us consider the function represented in table.

The coordinates given in the table are:

(0,6) (2,8) (4,10) and (6,12)

Consider the first two coordinates (0,6) and (2,8)

$x_{1}=0 , y_{1}=6, x_{2}=2 , y_{2}=8$

Equation of line is given by $(y-y_{1})=m(x-x_{1})$

where 'm' is slope(rate of change) is given by the formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, $m = \frac{8-6}{2-0}=1$

So, equation of line is :

(y-6)= 1 (x-0)

y-6=x

y=x+6

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

Now,

We will find the rate of change(slope) in the function y=x+4

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

So, " The rate of change in the function y=x+4 is equal to the rate of change of the function represented in the table.

7 0

4 years ago

Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born

NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

$p = \frac{31}{365} = 0.0849$

Group of 20 friends:

This means that $n = 20$

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773$

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0

3 years ago

A freight train leaves a station at noon traveling at 30 mph. A passenger train leaves 1 hour later traveling at 50 mph. At what

KIM [24]

Answer:

t=2.5 hours after the freight train leaves the station they will meet.

Step-by-step explanation:

30t = 50 (t - 1)

30t = 50t - 50

30t - 50t = -50

-20t = -50

t= -50/-20

Therefor, t=2.5 hours after the freight train leaves the station they will meet.

3 0

3 years ago

Calculate the area of this parallelogram.

Vadim26 [7]

Answer:

The answer to your question is Area = 34.8 m²

Step-by-step explanation:

Data

base = 6 m

height = 5 m

Formula

To get the area of a parallelogram, use the same formula that to calculate the area of a rectangle.

Area = base x height

Substitution

Area = 6 x 5.8

Simplification and result

Area = 34.8 m²

5 0

4 years ago

What expression is equivalent to (3x^2+4x-7)(x-3)​

What expression is equivalent to (3x^2+4x-7)(x-3)