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noname [10]
3 years ago
7

PLEASE HELP:

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
76/2=38 so half her mothers age is 38. And since Moira is 3 less than the half of her mothers age, Moira is: 38-3=35
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Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3
ale4655 [162]
When you solve a proportion, your first step should be to cross-multiply.

\frac{2x}{5} = \frac{x + 3}{3}

When you cross-multiply, you should get this equation:

(2x)(3) = (x + 3)(5)

Now, solve it using algebra.

(2x)(3) = (x + 3)(5)       Multiply
       6x = 5x + 15         Subtract 5x from both sides
         x = 15

The value of x is 15.
4 0
3 years ago
How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit
lisabon 2012 [21]

Answer:

\displaystyle f^{-1}(x)=\frac{1+x}{3x}

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

\displaystyle y=\frac{1}{3x-1}

* Solve the equation for x.

Multiply by 3x-1

y(3x-1)=1

Divide by y:

\displaystyle 3x-1=\frac{1}{y}

Sum 1:

\displaystyle 3x=\frac{1}{y}+1

Operate the right side:

\displaystyle 3x=\frac{1+y}{y}

Divide by 3:

\displaystyle x=\frac{1+y}{3y}

* Swap the variables:

\displaystyle y=\frac{1+x}{3x}

Write back into function form:

\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}

7 0
3 years ago
What is the value of the expression when c = 4 c/2
Grace [21]

Answer:

32

Step-by-step explanation:

Plug in 4 for c.

(c³)/2 = (4³)/2

First, solve the parenthesis, then divide. Multiply:

4³ = 4 * 4 * 4 = 16 * 4 = 64

Next, divide:

64/2 = 32

32 is your answer.

~

7 0
3 years ago
Math hw graded on accuracy pls help!!
lubasha [3.4K]

Answer:

  see below

Step-by-step explanation:

Putting n=1 into the formulas eliminates the first two choices, since they evaluate to 3.57 and 0.85, respectively, not 4.2.

Putting n=2 into the formula eliminates the third choice, because you know that 4.2(0.15) < 3.57 without even using a calculator.

The only viable choice (and the correct choice) is the last one.

8 0
3 years ago
If P( A or B) = 2/5, P(B)=1/4 and <br> P( A and B) = 1/10 find P(A)
natulia [17]

Answer:

p(a) = -3/20

Step-by-step explanation:

p ( a +b) = p(a)+p(b)

1/10= p(a) +1/4

1/10 - 1/4 = p(a)

p(a) = -3/20

5 0
2 years ago
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