The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
Answer:
0
Step-by-step explanation:
-3y(2y+5)=0
-6y+15y=0
9y=0
y=0÷9
y=0
Answer:
2x + 3 - 4/x
Step-by-step explanation:
6x^2 + 9x - 12/ 3x
1. Reduce the expression by cancelling the common factors.
2x^2 + 3x - 4/ x
2. Divide each term in the numerator by the denominator.
2x^2/x + 3x/x - 4/x
3. Simplify each term. Then when you finish to simplify your answwer would be: 2x + 3 - 4/x
i hope its helpful! :D
a) For 900 units of currency X, at an exchange rate of y = 1.05x, you could get <u>945 of currency Y.</u>
b) The inverse function is x is <u>0.9524y</u> and it represents the conversion of units of currency Y to units of currency X.
c) For 46 units of currency Y, at the exchange rate of x = 0.9524y, you could get <u>43.81 of currency X</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a value that a currency has with another.
The exchange rate shows the proportion or ratio at which two currencies are exchanged.
<h3>Data and Calculations:</h3>
The exchange rate of X (x) to Y 9y) is y = 1.05x.
For 900 units of currency X, you could get 945 of currency Y (1.05 x 900)
The inverse function is x = 0.9524y (900/945)y
For 46 units of currency Y, you could get = 43.81 of currency X (0.9524 x 46).
Learn more about exchange rates at brainly.com/question/4711402
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Answer:
Y=×^2-9
Step-by-step explanation:
(X+0)^2-9
Use the vertex form, y=a(x-h)^2+k
a=1
h=0
k=-9
And because the parabola opens up the vertex is (0,-9)
The distance from the vertex to a focus of the parabola by using the __ 1/4a__ formula:
1/4(1)
1/4
(h,k+p)
(0,-35/4)
