All categories

4 years ago

Gcf and distributive property 24+30

Mathematics

1 answer:

yuradex [85]4 years ago

3 0

<h3>Given</h3>

24+30

a rewrite of the expression in which the greatest common factor is factored out and the distributive property is used

<h3>Solution</h3>

First, you must find the greatest common factor of 24 and 30. Your knowledge of multiplication tables tells you ...

... 24 = 6·4

... 30 = 6·5

The numbers 4 and 5 have no factors in common, so 6 is the greatest common factor of the numbers 24 and 30.

When we factor 6 from the numbers the sum can be written ...

... 24 +30 = 6(4 +5)

You might be interested in

The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below

Aleonysh [2.5K]

Answer:

$g(x)=x-1$

Step-by-step explanation:

Any problem of this kind should first be approached by solving the initial function.

This question is based on curve translation on x-axis. But, there can be questions asked on translation in both axes, rotation of curve about origin, or both combined.

Initial function f(x) is a straight line from picture.

Common equation of straight line is

$y=mx+c$

m= slope of the line

c= y-intercept

Slope of the line:

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

Let those points on graph be A(3,0) and B(0,-6)

Therefore, slope of line AB, using formula is:

$m=\frac{0-(-6)}{3-0}$

m=2

And c=(-6)

And equation of line AB is:

$y=2x-6$

$f(x)=2x-6$

Now this line is translated backwards by 2 units, (x) becomes (x+2)

Let us consider a X, such that, $X=x+2$

$f(X)=2X-6$

$f(x+2)=2(x+2)-6$

$f(x+2)=2x+4-6$

$f(x+2)=2x-2$

Now, there is another function such that, $g(x)= \frac{1}{2} f(x+2)$

$g(x)= \frac{1}{2}(2x-2)$

$g(x)= x-1$ ; according to your question.

In the picture, they are asking for a function, $g(x)= \frac{-1}{2} f(x+2)$

Then, $g(x)= -x+1$ ; according to the picture.

Here, I have attached a file showing all the graphs for clear understanding.

3 0

4 years ago

Read 2 more answers

I need help on part

Ipatiy [6.2K]

All you have to do is make ratios so in class 701 you have to do chicken nuggets to pasta then chicken nuggets to the total then pasta to the total so the first class would be 5:6,6:11,and 5:11

3 0

3 years ago

A gym charges a $25 sign-up fee plus $25 per month. You have a $200 gift card for the gym. When

valina [46]

Answer:

after 7 months

Step-by-step explanation:

it will cost you 175 for 7 months after that signup fee

5 0

3 years ago

What's the value of X

ss7ja [257]

Since the triangle is isosceles we know that angle a is equal to angle c.

8y-7=73

8y=80

y=10

We also know that the sum of the interior angles in any triangle is 180 degrees.

73+73+6x+4=180

150+6x=180

6x=30

x=5

3 0

3 years ago

The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea

NISA [10]

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

$f(t)=1.5(0.90)^t$

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

$f(t)=a(1-r)^t$ ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

$f(t)=1.5(0.90)^t$

It can be written as

$f(t)=1.5(1-0.10)^t$ ...(ii)

From (i) and (ii), we get

$a=1.5,r=0.10$

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

5 0

3 years ago