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yawa3891 [41]
3 years ago
15

Show the work for INVERSE, thank you. I got 17 but I did it wrong because it has to be 7

Mathematics
2 answers:
Yuri [45]3 years ago
6 0

12 - x = 5

Subtract 12 from both sides

12 - 12 - x = 5 - 12

- x = - 7

Divide both sides by -1

-x/-1 = -12/-1

x = 7

mixer [17]3 years ago
4 0

For 12-x = 5 to be true

simplly take x on the right side of the equation and put five in the place of x.

12 - x = 5

12 - 5 = x

now 12 - 5 = 7

therefore the value of x = 7.

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Plz put the work clearly plzz I really need these
Dmitrij [34]

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

8 0
2 years ago
Lucy have $6400 if she invests<br> $1200 at 15% interest<br> compounded quarterly?
svet-max [94.6K]

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

8 0
3 years ago
Shannon Perfumeries sells two fragrances. The table contains the price corresponding to the number of bottles of fragrance A. Bo
Aliun [14]
<span>Table
Bottles Price($)
3           78
6           156
9           234

From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.

That means that the unit rate of this fragance is $26.

If you call x the number of bottles the equation is

Price = unit rate * number of bottles = 26x.

Now compare this information with that on your graph to compare the unit rates.

This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =

[change in y-coordinate] / [change in the x-coordinate]
</span>
5 0
3 years ago
Read 2 more answers
Write without the absolute value sign. |x-3| if x&gt;4
lisabon 2012 [21]
If x>4, then the quantity x-3 inside the absolute value symbol is already positive.  So, in this case, |x-3|  =>  x-3, and   x-3 is all you need to write.
6 0
3 years ago
Use logarithmic differentiation to find the derivative of the function.y = x^8 sin(x)
givi [52]

Answer: \frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

Step-by-step explanation:

Since we have given that

y=x^{8sinx}

By using logarithmic on both sides we get,

log y= 8 sinx. logx

(∵ log(a^m)=m.loga)

Now, differentiating on both sides ,we get,

\frac{1}{y}.\frac{\partial y}{\partial x}=8(\frac{\partial sinx}{\partial x}.logx+sinx \frac{\partial logx}{\partial x})

\\\frac{1}{y}\frac{\partial y}{\partial x}=8(cosx.logx+sinx.\frac{1}{x})

\\\frac{\partial y}{\partial y}=8y(cosx.logx+\frac{sinx}{x})\\\\\frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})

6 0
3 years ago
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