The product is the answer to a multiplication problem.
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
Total: 73
dogs: x
cats: 2x+10
2x+10+x=73
3x+10=73
3x=63
x=21
dogs: x
dogs: 21
cats: 2x+10
cats: 52
Check answer:
cats+dogs=73
52+21=73
There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.
Best of luck my friend. :)
It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.
The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.
Since we are providing mai's rate which is 6 3/4 miles and Noah's rate of 4 1/2 miles, So in order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other
=> 6 3/4 divided by 4 1/2,
=> 27/4 divided by 9/2, (The result is an improper fractions)
=> 27/4 X 2/9
=>3/2
=> 1.5
To know more about mixed numbers refer to the link brainly.com/question/24137171?referrer=searchResults.
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