Answer:
(0, 1).
Method 1 (Substitution):
Substituting our two y's, we get the following:
Thus, the only set of solutions is (0, 1). A quick sketch (either by hand or on Desmos) can confirm this.
Method 2 (Elimination):
We have two equations. We'll let the top one be equation 1 and the bottom one be equation 2. Eliminating as many variables as we can, we subtract (2) from (1) to get:
0 = 3x => x = 0.
So the only set of solutions is (0, 1).
Method 3 (Gaussian elimination):
We can place this in an augmented matrix and row reduce.
Row reducing this gives us:
This tells us that the only solution for x is x = 0 (since we read this as "3x = 0") and thus, the only solution we get is (0, 1).
Answer: Change it to decimal
Step-by-step explanation:
Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.
Answer: 15 miles
Step-by-step explanation:
So, Molly runs 3 miles and theres 3 days. Monday, Wednesday, and Friday. 3 x 3 is 9 and on Friday she runs twice the amount. So 3x2 is 6 and 9+6 is 15.
Answer:
−4 1/4 = −4 +1/4
= −4/1+1/4
=(−4/1×4/4)+1/4
=−16/4 + 1/4= −17/4
So, -17 divided by 4 equals
-4.25
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps
Answer:
i think its 85
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Based on the graph of the linear function (in blue) and parabolic function (in red), the corresponding output values include the following;
(f∘g)(2) = -1.
(g∘f)(2) = 1.
(f∘f)(2) = 0.
(g∘g)(2)= 4.
(f + g)(4) = 7.
(f/g)(2) = DNE.
In Mathematics and Geometry, a function composition is an operation (∘) that combines two functions f(x) and g(x), in order to produce a composite function h(x) = (g∘f)(x), such that h(x) = g.
In this exercise, we would determine the corresponding output values for each of the composite functions by using the substitution method as follows;
(f∘g)(2) = f(g(2))
f(g(2)) = f(0)
f(0) = -1.
Part 2.
(g∘f)(2) = g(f(2))
g(f(2)) = g(1)
g(1) = 1.
Part 3.
(f∘f)(2) = f(f(2))
f(f(2)) = f(1)
f(1) = 0.
Part 4.
(g∘g)(2) = g(g(2))
g(g(2)) = g(0)
g(0) = 4.
Part 5.
(f + g)(4) = f(4) + g(4)
f(4) + g(4) = 3 + 4
f(4) + g(4) = 7.
Part 6.
(f/g)(2) = f(2)/g(2)
f(2)/g(2) = 1/0
f(2)/g(2) = DNE.
Read more on composite function here: brainly.com/question/30660139
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Step-by-step explanation:
g(g(2))
= g(0)
= 4