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SVEN [57.7K]
3 years ago
7

Solve this following algebraic expression

"(xy)(xy)(xy)" alt="(xy)(xy)(xy)" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
viktelen [127]3 years ago
7 0

Answer:

x³y³

Step-by-step explanation:

(xy)(xy)(xy)

= xy × xy × xy

= x × y × x × y × x × y

= x × x × x × y × y × y

= x³ × y³

= x³y³

geniusboy [140]3 years ago
6 0

x^{3} y^{3}

Hope it helps!

x*x*x=x^{3}

y*y*y=y^{3}

*********************************

Please mark Brainliest if my answer is helpful! :)

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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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Can someone help me on number 8. I tried to do it, but I can’t seem to find the right answer.
qaws [65]

Check the picture below.

4 0
3 years ago
Example
castortr0y [4]

Answer:

6/8

Step-by-step explanation:

y^1-y^2/x^1-x^2

2+4/2+6

6/8

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3 years ago
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A square rug is 11m^2 the bedroom for the rug is 4m by 5m will the rug fit? Explain why
vekshin1

Yes it will fit

Step-by-step explanation:

the square rug is 11m^{2}

so each side is \sqrt{11m^{2} } =3.31m

and the bedroom is 4m*5m

so it will fit

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3 years ago
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Can someone please help me with this?? please please please help me
Nadya [2.5K]

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

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