464 divide by 16 is 29. So y would be 29
Answer:
Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>
- red, then blue or blue, then red
<u>Find the probability of each case:</u>
- P(r, b) = 5/9*4/8 = 5/18
- P(b, r) = 4/9*5/8 = 5/18
<u>Probability of exactly one red:</u>
Answer:
f(x) = -x -4 or f(x) = (-x)-4
Step-by-step explanation:
Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.
Transformations can be found using this general formula: f(x) = a(bx-h)+k
For this question, we want a translation down as well as a reflection.
The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.
Since we are translating down 4 units, k = -4
Since we are reflecting across the y-axis, b = -1
So, f(x)=(-x)-4
or
f(x)= -x -4
X=15 this is because 45+15 is equal to 60 and is equal to 4x so 4x=60 divide both sides by 4 to get x and you get x is equal to 15
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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