Answer:
Hi there user! Mizuki is here to help so yeah!
Anyways the correct answer is A
Step-by-step explanation:
24t = 72
t = 72/24
t = 3
If you have any questions, feel free to ask in the comments area!
Let "a" and "b" be some number where:
a - b = 24
We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.
So we can first substitute for "a" where a = b+24
So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576
Then we take the derivative and set it equal to zero:
4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12
Thus "a" must equal 12.
So:
a = 12
b = -12
And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.
The smallest sum is 288.
The slope is the change in y-axis to x-axis of a graph. The slope of the line given is -10
<h3>How to find the slope of a line?</h3>
The standard equation of a line in slope intercept form is given as y = mx+b
where
- m is the slope
- b is the y-intercept
Given the equation y = -10x - 2
Compare
mx = -10x
m = -10
Hence the slope of the line given is -10
Learn more on slope here: brainly.com/question/3493733
#SPJ1
Answer:
False
Step-by-step explanation:
hope this helps!
In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,
And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is
We need to do
Substituting the values of the two functions, we will get
Adding 2 to both sides
Cross multiplication
So the input value is 3.3 approx
