If the minute hand has turned 3/4 of the way around the face, it is equal to 45 minutes. (45/60)
Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
Answer:
1: x = -1
2: x = 3
3: x = -3
Step-by-step explanation:
f(x)=<u>x^3+x^2</u>−9x−9
f(x)=x^2<u>(</u>x+1) <u>−9x−9</u>
f(x) = x^2<u>(x+1)</u> - 9<u>(x+1)</u>
f(x)= (x+1)<u>(x^2-9)</u>
f(x) =(x+1)(x-3)(x+3)
Answer:
(-3,4)
Step-by-step explanation:
x + 2y = 5
-3 + (2*4) = 5
-3 + 8 = 5
5 = 5
2x + 3y = 6
(2*-3) + (3*4)=6
-6 + 12 = 6
6 = 6
Answer:
30 each of 23% bars and 18 each of 79% bars
Step-by-step explanation:
If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:
x + y = 48
0.23x + 0.79y = 0.44(48)
Substituting and solving:
0.23x + 0.79(48-x) = 0.44(48)
0.23x + 37.92 - 0.79x = 21.12
16.8 = 0.56x
x = 30
y = 48 - x
y = 18
You need 30 each of 23% bars and 18 each of 79% bars.