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Shalnov [3]
3 years ago
9

Y=f(×)=9× Find f(×) when x =1/2

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
<h3>f(x) is equal to 4.5 when x = 1/2</h3>

<em><u>Solution:</u></em>

Given that,

y = f(x) = 9x

We have to find f(x) when x = 1/2

We can solve by substituting x = 1/2 in given function

f(x) = 9x\\\\Plug\ in\ x = \frac{1}{2}\\\\f(\frac{1}{2}) = 9 \times \frac{1}{2}\\\\f(\frac{1}{2}) = 4.5

Thus f(x) is equal to 4.5 when x = 1/2

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3 years ago
sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde
mariarad [96]
She should invest $6491.73.

The equation we use to solve this is in the form
A=p(1+\frac{r}{n})^{nt}, 
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A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t  is 13.

14000=p(1+\frac{0.06}{2})^{13*2}&#10;\\&#10;\\14000=p(1+0.03)^{26}&#10;\\&#10;\\14000=p(1.03)^{26}&#10;\\&#10;\\\text{Dividing both sides by }1.03^{26}\text{, we have}&#10;\\&#10;\\\frac{14000}{1.03^{26}}=\frac{p(1.03)^{26}}{1.03^{26}}&#10;\\&#10;\\6491.73\approx p
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Which table of ordered pairs represents a proportional relationship?
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Step-by-step explanation:

7 0
3 years ago
Solving 6x²+9x-1=0 by completing the square root method produces an equation in the form of (x+h)²=k find H and K
marishachu [46]

The value of h is 9/12 and the value of k is 35/48

<h3>How to solve the equation?</h3>

The equation is given as:

6x^2 +9x - 1 = 0

Add 1 to both sides of the equations

6x^2 +9x - 1 + 1= 0 + 1

Evaluate the sum

6x^2 +9x =  1

Divide through the equation by 6

x^2 +9/6x =  1/6

Take the coefficient of x

k = 9/6

Divide by 2

k/2 = 9/12

Square both sides

(k/2)^2 = (9/12)^2

So, we add (9/12)^2 to both sides of the equation x^2 +9/6x =  1/6

x^2 +9/6x + (9/12)^2 =  1/6 + (9/12)^2

Next, we express the left-hand side as a perfect square

(x^2 + 9/12)^2 = 1/6 + (9/12)^2

The form of the equation is given as:

(x + h)^2 = k

So, we have:

h = 9/12

k = 1/6 + (9/12)^2

Simplify

k = 1/6 + (3/4)^2

Evaluate the exponent

k = 1/6 + 9/16

This gives

k = (8 + 27)/48

Evaluate

k = 35/48

Hence, the value of h is 9/12 and the value of k is 35/48

Read more about completing the square at:

brainly.com/question/4331586

#SPJ1

5 0
1 year ago
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