22.11.2022

I need help with these two questions

. 4

Faq

Mathematics
Step-by-step answer
P Answered by Master

f(x) = Three-halves (three-halves) Superscript x

f(x) = Two-thirds (three-halves) Superscript x

Step-by-step explanation:

Since, a function in the form of f(x) = ab^x

Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

Growth function : If b > 1,Decay function : if 0 < b < 1,

Since, In

f(x) =\frac{2}{3}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{3}{2})^x

\frac{3}{2}  1

Thus, it is a growth function.

in f(x) =\frac{2}{3}(\frac{3}{2})^x

\frac{3}{2}  1

Thus, it is a growth function.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is D (1 , -1) , E (2 , -3) , F (3 , -3) , G (4 , -1)

Step-by-step explanation:

∵ D ( 1 , 1) , E ( 2 , 3) , F (3 , 3) , G (4 , 1)

∵ DEFG is reflected over x-axis

∴ We will change the signs of y-coordinates in all points

∴ D' = (1 , -1) , E' = (2 , -3) , F' = (3 , -3) , G' = (4 , -1) it will be in quadrant four

Mathematics
Step-by-step answer
P Answered by Master

He should have multiplied by \frac{3}{3} and not \frac{1}{3}

The fraction is greater than

Step-by-step explanation:

Given

\frac{2}{3}\  \&\ \frac{5}{9}

Sadi's steps are:

The common denominator is 9.

\frac{2}{3} * \frac{1}{3} = \frac{2}{9}

\frac{2}{9} < \frac{5}{9}

So:

\frac{2}{3} < \frac{5}{9}

Required

Sadi's error

Her first error is that: he should have multiplied by \frac{3}{3} and not \frac{1}{3}

This is so because, whatever factor is multiplied to the numerator has to be multiplied to the denominator, as well.

So, we have:

\frac{2}{3} * \frac{3}{3} = \frac{6}{9}

By comparison:

\frac{6}{9}  \frac{5}{9}

So, his second error is that: the fraction is greater than

Mathematics
Step-by-step answer
P Answered by Master

a. The free throw percentage for the Lions is of 62.5%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

g. Lions

Step-by-step explanation:

a. What is the free throw percentage for the Lions?

10 out of 16, so:

10*100%/16 = 62.5%.

The free throw percentage for the Lions is of 62.5%.

b. What is the free throw percentage for the Eagles?

10 out of 27, so:

10*100%/27 = 37.04%

The free throw percentage for the Eagles was of 37.04%.

c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?

25 + 12 = 37 out of 50 + 16 = 66. So

37*100%/66 = 56.01%.

The field goal percentage for the Lions was of 56.01%.

d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?

9 + 12 = 21 out of 44 + 17 = 61. So

21*100%/61 = 34.43%

The field goal percentage for the Eagles was of 34.43%.

e. How many points did the Lions score?

10 free throws, 25 two's and 12 three's. So

10 + 25*2 + 12*3 = 96

The Lions scored 96 points.

f. How many points did the Eagles score?

10 free throws, 9 two's and 12 three's. So

10 + 9*2 + 12*3 = 64

The Eagles scored 64 points.

g. Which team won the basketball game?

The Lions scored more points, so they won.

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