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3 years ago

8

What am I supposed to do

2 answers:

Nostrana [21]3 years ago

4 0

Answer:

answer is b

Step-by-step explanation:

I'm smart bro

otez555 [7]3 years ago

4 0

Answer:

b

Step-by-step explanation:

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which of tthe following fucngions describes the average expense fir a player played, in terms of x, the number of games played?

Firdavs [7]

And we are waiting to see the functions listed?

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4 years ago

marthas momis making party bags for all her geusts. She has 24 green gumballs.And 33 blue gumballs is she splits them evenly bet

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4 years ago

Solve for x.<br> (x + 10)°<br> (4x - 35)°

Dafna1 [17]

Answer:

x = 15

Step-by-step explanation:

x+10=4x−35

x+10−4x=4x−35−4x

−3x+10−10=−35−10

−3x=−45

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4 0

3 years ago

What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot

Nat2105 [25]

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

$a = 500$ --- starting balance

$m = 10$ --- monthly rate

Her brother

$a = 100$ ---- starting balance

$r = 10\%$ --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

$y = ab^x$

Where $b = 1 + r$

So, we have:

$y = ab^x$

$y = 100 *(1 + 10\%) ^x$

$y = 100 *(1 + 0.10) ^x$

$y = 100 *(1.10) ^x$

Hence:

$g(x) = 100 *(1.10) ^x$

Next, we calculate Molly's function (a linear function)

The monthly function is:

$y = mx + a$

So, we have:

$y = 10x + 500$

Annually, the function will be:

$y = 10x*12 + 500$

$y = 120x + 500$

So, we have:

$f(x) = 120x + 500$

At this point, we have:

$f(x) = 120x + 500$ ---- Molly

$g(x) = 100 *(1.10) ^x$ ---- Her brother

<u>Next, we test each option</u>

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

$y = 120x + 500$

The slope of a linear function with the form: $y = mx + b$ is m

By comparison:

$m = 120$

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

$m = 120$

For his brother:

Rate of change is calculated using:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(40) - g(32)}{40 - 32}$

$m = \frac{g(40) - g(32)}{8}$

Calculate g(40) and g(32)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{40} =4526$

$g(32) = 100 * 1.10^{32} = 2111$

So, we have:

$m = \frac{4526 - 2111}{8}$

$m = \frac{2415}{8}$

$m = 302$

By comparison: $302 > 120$

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(30) - g(24)}{30 - 24}$

$m = \frac{g(30) - g(24)}{6}$

Calculate g(30) and g(24)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{30} =1745$

$g(32) = 100 * 1.10^{24} = 985$

So, we have:

$m = \frac{g(30) - g(24)}{6}$

$m = \frac{1745 - 985}{6}$

$m = \frac{760}{6}$

$m = 127$

By comparison: $127 > 120$

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(4) - g(0)}{4 - 0}$

$m = \frac{g(4) - g(0)}{4}$

Calculate g(4) and g(0)

$g(x) = 100 *(1.10) ^x$

$g(4) = 100 * 1.10^4 =146$

$g(0) = 100 * 1.10^{0} = 100$

So, we have:

$m = \frac{g(4) - g(0)}{4}$

$m = \frac{146 - 100}{4}$

$m = \frac{46}{4}$

$m = 11.5$

By comparison: $120>11.5$

Hence, Molly's account has a faster rate over [0,4]

(c) is false

4 0

3 years ago

Answer plzz....solve n send me plz.

choli [55]

Answer: $\frac{31}{12}$

Step-by-step explanation:

We have the following expression:

$4-2\frac{2}{3}+1\frac{1}{4}$

As we can see, the second and the third term are mixed fractions, which are a combination of an integer and a fraction, and to convert it into an improper fraction and be able to solve the expression more easily, we must do the following:

Mixed fraction: $a\frac{b}{c}$

Converting Mixed fraction to improper fraction: $\frac{(a)(c)+b}{c}$

So, for both mixed fractions we have:

$2\frac{2}{3}=\frac{8}{3}$

$1\frac{1}{4}=\frac{5}{4}$

Then the expression is rewritten as:

$4-\frac{8}{3}+\frac{5}{4}$

Calculating the least common multiple (l.c.m) with the denominators, being the l.c.m=12:

$\frac{48-32+15}{12}$

Solving:

$\frac{31}{12}$

Hence:

$4-2\frac{2}{3}+1\frac{1}{4}=\frac{31}{12}$

7 0

4 years ago