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Genrish500 [490]
3 years ago
13

Find the inverse of each function y=3^x/4

Mathematics
1 answer:
natulia [17]3 years ago
3 0
To find the inverse, interchange the variables and solve for
y
y
.
f
−
1
(
x
)
=
ln
(
x
+
4
)
ln
(
3
)
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Can someone explain me how to find square root by prime factorization ?
liubo4ka [24]

Answer:

<h2><u>STEPS</u></h2>
  • Step I: Obtain the given number.
  • Step II: Resolve the given number into prime factors by successive division.
  • Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
  • Step IV: Take one factor from each pair.
  • Step V: Find the product of factors obtained in step IV.
  • Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>

<u> Find the square root of 324</u>

  • 324 = 2 x 162
  • = 2 x 2 x 81
  • = 2 x 2 x 3 x 27
  • = 2 x 2 x 3 x 3 x 9
  • = 2 x 2 x 3 x 3 x 3 x 3
  • ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
  • √324 = 2 x 3 x 3
  • √324 = 18
5 0
4 years ago
What is the value you put into a formula or equation
Lady bird [3.3K]
Formula<span> is a statement written with group of </span>mathematical<span> symbols that express a relationship.</span>
Equation is type of mathematical formula with sign equal that separates the left <span>side and the right side of the formula.</span>
The value you put into a formula or equation is referred as  a variable. The variable is an item ("thing") which can be measured quantitatively and re<span>presented by a number. </span>Variables are called variables because they vary, i.e. they can have a variety of values. If a variable has only one value, it is called constant.
7 0
3 years ago
CONVERTING DECIMALS!
Ulleksa [173]
Hope you mean converting to fractions. Hope this helps

5 0
3 years ago
Find the measure of each angles: <br>​
sineoko [7]

Answer:

10. 123º

13. 65º

Step-by-step explanation:

For number 10, a straight line is equal to 180º so all we have to do is subtract 57 (the number that we're given) from 180

For number 13, vertical angles are always congruent (the same) so we know that it's 65º

5 0
3 years ago
Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr
Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

L=L_1+L_2

L_1=\sqrt{80^2+x^2}

L_2=\sqrt{60^2+(100-x)^2}

L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}

differentiate w.r.t x we get

\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}

Put \frac{\mathrm{d} L}{\mathrm{d} x}=0 to get minimum value

\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}

squaring

x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)

Rearranging

28x^2-1800x+640000=0

x=\frac{400}{7}

thus L_1=98.312 ft

L_2=73.73 ft

L=172.04 ft  

7 0
3 years ago
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