All categories

3 years ago

Can someone please help

Mathematics

1 answer:

user100 [1]3 years ago

7 0

Answer:

Step-by-step explanation:

1. 2 units (just count how many boxes)

2. 3 units (count how many boxes down)

3. The height is also 3 units (count how many boxes down)

You might be interested in

1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a

ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0

3 years ago

Donna bought 3 bags of dog treats for $8.40. What is the cost per bag of dog treats?

Fittoniya [83]

2.8 is the andwer because when you divide 8.40 divide 3 it is equal to 2.8

7 0

3 years ago

Read 2 more answers

Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)

Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

First, lets see if line AB is parallel to line CD.

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

Now, lets see if line BC is parallel to line AD.

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

Conclusion

ABCD is a parallelogram because it contains two parallel sides.

5 0

3 years ago

Shanay can swim the 100m race in 70.2seconds.Swapnil can swim the same in 70.06 seconds. Who is faster

ruslelena [56]

Swapnil is faster
70.06 < 70.2 s

4 0

3 years ago

How do I solve 9 1/9 - 5/6

Gwar [14]

Turn 9 1/9 into an improper fraction then find a common denominator and subtract

3 0

4 years ago

Read 2 more answers