Jill , meg and Beth are sisters. Jill is 2 yrs younger than meg . Beth is half as old as meg . let m represent megs age.Write two other algebraic expressions based on this situation . Tell what expression represents, and what the variable stands for in each sentence

Answers

Answer 1
Answer:

Answer:

The algebraic expressions are

x = m + 2

y = (m)/(2)

Step-by-step explanation:

As given

Jill , meg and Beth are sisters.

Let m is represented the age of the meg.

Let x is represented the age of the jill.

Let y is represented the age of the Beth.

As given

Jill is 2 yrs younger than meg .

Thus

x = m + 2

As given

Beth is half as old as meg.

Thus

y = (m)/(2)

Therefore the algebraic expression are

x = m + 2

y = (m)/(2)



Answer 2
Answer: jill=j
meg=m
beth=b
jill is 2 years younger than meg
therefor if we add 2 to jill age we get meg's age
j+2=m
beth is 1/2 as old as meg
therefor 1/2 of megs age=beth's age
b=1/2m

j+2=m
b=1/2m

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If f (x) = 3x + 2 and g(x) = x^2 + 1 which expression is equivalent to ( f o g) (x)

Answers

Answer:

( f o g) (x) = 3x²+5

Step-by-step explanation:

We have given two functions :

f (x) = 3x + 2

g(x) = x² + 1

We have to find   ( f o g) (x) =?

( f o g) (x) = (f(g(x))

Putting the values of functions in above formula.

( f o g) (x) =  3(x²+1)+2

( f o g) (x) =  3x²+3+2

Adding like terms,we have

( f o g) (x) = 3x²+5

( f o g) (x) = 3x²+5 is the answer.

Answer: (f o g)(x)=3x^(2)+5

Step-by-step explanation:

To solve this problem you must apply the following proccedure:

(f o g)(x) indicates that you must substitute the function g(x) into the function f(x).

Therefore, you have:

(f o g)(x)=3(x^(2)+1) +2

Now, you must simplify it, as it is shown below:

Apply the distributive property and add the like terms:

(f o g)(x)=3x^(2)+3+2

(f o g)(x)=3x^(2)+5

Evaluate 54 divided by 6 plus 54

Answers

Answer:

54/6 +54 = 63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

54 divided by 6 equals 9 plus 54 equals 63

Jessica has no books.wesley has 2 more books than jessica.how many books does wesley have ?

Answers

Let

x---------> the number of books that Jessica has

y---------> the number of books that Wesley has

we know that

x=0 --------> equation 1

y=x+2 --------> equation 2

Substitute equation 1 in equation 2

y=(0)+2

y=2

therefore

the answer is

Wesley has 2\ books

2 books. 0 + 2 is 2. Therefore, Wesley has 2 books.

2+d=2-3(d-5)-2 Pls show work

Answers

2 + d = 2 - 3(d- 5) - 2

First, cancel 2 on both sides. / Your problem should look like: d = -3(d - 5) - 2
Second, expand. / Your problem should look like: d = -3d + 15 - 2
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like: d = -3d + 13
Fourth, add 3d to both sides. / Your problem should look like: d + 3d = 13
Fifth, add d + 3d to get 4d. / Your problem should look like: 4d = 13
Sixth, divide both sides by 4. / Your problem should look like: d =  (13)/(4)

Answer as fraction: d =  (13)/(4)
Answer as decimal: d = 3.25


2+d=2−3(d−5)−2

2+d=2+(−3)(d)+(−3)(−5)+−2(Distribute)

2+d=2+−3d+15+−2

d+2=(−3d)+(2+15+−2)(Combine Like Terms)

d+2=−3d+15

Add 3d to both sides.

d+2+3d=−3d+15+3d

4d+2=15

 Subtract 2 from both sides.

4d+2−2=15−2

4d=13

Divide both sides by 4.

4d/4=13/4

d=13/4

What is 5x to the second power

Answers

the answer is
25 because you multiply the base number twice

Describe a situation where it is easier to use decimals than fractions , explain why .

Answers

When ur handling with money u would wanna use decimals instead of fractions e.g. $2.40 is a decimal
division, because the process is a lot shorter than using a fraction.