X + 3 < 2x
3<2x-x
3 < x
x is greater than 3
Answer:
Step-by-step explanation:
It is given that The probability a person is infected by a certain cold virus is 0.2 that is p=0.2, then q=1-0.2=0.8.
Now, we have to find the probability that at least one person will be affected by the cold virus, that is P(x>1).
P(x>1)=1-(P(x=0)+P(x=1))
=
=
=
=
=
=
=
=
Thus, probability that at least one person will be affected by the cold virus will be=0.726.
Answer:
0.6b - 3c
Step-by-step explanation:
Multiply 0.2 and 3b
0.2 x 3b = 0.6b
Then multiply 0.2 and 15c
0.2 x 15c = 3c
We can't add these, 3c and 6b because they have different letters.
different letter vs. different letter =
don't add
different letter vs. normal number like 5 =
dont add
same letter vs. same letter =
add
normal number vs. normal number =
add
This all goes the same for dividing, subtracting, and multiplying
I hope this helped! :)
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):
x y
-1 -11
0 -1
1 9
g(x) = 5x + 1
Part A: Write a sentence to compare the slope of the two functions and
show the steps you used to determine the slope of f(x) and g(x). (6
points)
slope of the data of the table:
slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10
Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10
the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.
Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.
Part B: Which function has a greater y-intercept? Justify your answer.
The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.
The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.
So, both functions have equal y-intercept.
2)The table below shows the values of y for each value of x:
x y
1 0
1 -1
2 1
2 -2
Part A: Does the table represent a relation that is a
function? Justify your answer by using the values shown in the table. (4
points)
No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.
Part B: The function f(x) shown below represents the number of baskets
Jess made at different distances, x, in meters, from the hoop:
f(x) = -x + 6
Calculate and interpret the meaning of f(4). (4 points)
f(4) = - 4 + 6 = 2
It means that Jess made 2 baskets at the distant of 4 meters.
Part C: Write an ordered pair to represent the input and output of the
function in Part B when Jess is at a distance of p meters from the hoop.
(2 points)
input, p output, f(p)
6 -6 + 6 = 0
So the ordered pair is (6,0)
</span>
Let the width be x, the length is then 3x-10
Area of a rectangle is length times width: x(3x-10)=77 => 3x^2-10x-77=0
Factor this quadratic equation: (x-7)(3x+11)=0 =.x=7 or x=-11/3
width cannot be negative, so the only answer is x=7
width is 7m, length is 11m
