Answer:
b=12
Step-by-step explanation:
Hi there!
We are given the linear equation y-6=-3/2(x-4), and we want to find the value of the y intercept, which is typically denoted as b
The y intercept is the point in which the line crosses the y axis, and so, the value of x at that point is 0
Therefore, we can substitute the value of x as 0 in this equation, and then solve for y
That would translate to:
y-6=-3/2(0-4)
Now solve via the order of operations. Starting with the parenthesis:
y-6=-3/2(-4)
Now multiply -4 by -3/2
y-6=6
Now add 6 to both sides
y=12
The value of y is 12, which is the point at which the line crosses the y axis; as a point, the value is (0, 12)
As stated above, the value of the y intercept is typically denoted as b, which is also the value of y. Therefore, b=12 is the location of the y intercept
Hope this helps!
Answer:
Options (1), (2), (3), (6)
Step-by-step explanation:
Given functions are,
f(x) =
h(x) =
Option (1)
y-intercept of function 'h',
x = 0,
h(x) =
= 5
So y-intercept is (0, 5)
True.
Option (2)
Domain of function 'h' is (-∞, ∞)
True
Option (3)
As x approaches ∞, h(x) approaches ∞.
True.
Option (4)
For x intercept,
h(x) = 0
2x = (-5)³
2x = -125
x = -62.5
So the x-intercept is (-62.5, 0)
False.
Option (5)
Range of the function 'h' is (-∞, ∞)
False
Option (6)
As x approaches to -∞, h(x) approaches to -∞.
Since, range of the function is (-∞, ∞), given statement is true.
Therefore, Options (1), (2), (3), (6) are correct.
Complete question is;
It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the number of gallons of water in the cooler after t minutes. Which of the following equations represent the relationship between w and t? Select all that apply
A) w = 1.6t
B) w = 0.625t
C) t = 1.6w
D) t = 0.625w
Answer:
Option A: w = 1.6t
& Option D: t = 0.625w
Step-by-step explanation:
We are told It took Priya 5 minutes to fill a cooler with 8 gallons of water at a steady rate.
Thus;
Rate of filling = 8 gallons/5 minutes = 1.6 gallons/minutes
Now, we are told that w is the number of gallons of water in the cooler after t minutes.
Thus, to find w, we will multiply the rate by t minutes.
w = 1.6 gallons/minutes × t minutes
w = 1.6t gallons
Or we can write as;
w/1.6 = t gallons
0.625w = t gallons
Therefore, options A & D are correct.
You are close : 0.000000307
Answer:
148
Step-by-step explanation:
15-1 because of the first day of school
14*10
=140
+8
=148