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klasskru [66]
2 years ago
12

14 b + 9 b – 4 – 12b Help meh pls Xd

Mathematics
2 answers:
trasher [3.6K]2 years ago
8 0

Answer:

Simplify the expression.

11 b − 4

Step-by-step explanation:

PSYCHO15rus [73]2 years ago
7 0

\huge\text{Hey there!}

\large\text{14b + 9b - 4 - 12b}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(14b + 9b - 12b) + (-4)}\\\\\large\text{(14b + 9b - 12b) = 23b - 12b = \bf{11b}}\\\\\large\text{-4 = \bf{-4}}\\\\\large\text{\bf{= 11b - 4}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{11b - 4}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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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

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3 years ago
Solve the equation.<br><br> x+4=−14<br><br> what does x equal
lisabon 2012 [21]
You just have to subtract four from each side to get x alone.
The answer is x = -18
8 0
3 years ago
Angelina makes 70% of her free throws. What is the probability tha she will make her next two free throws?
Vesna [10]
15 % on her next free throws because a percent is always out of a 100. leftover is 30 half of 30 is 15 do it is 15%
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3 years ago
Five-sixths of a number is 45.<br> Find the number.
tia_tia [17]

Answer: The number is 54!!!

Hope it helps!!!



Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

4 0
3 years ago
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Help me please!! I’ve tried many different things and nothing will work
Arte-miy333 [17]
This pic shows the ans

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3 years ago
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