1.What is the domain of the given function? ( THE FIRST PIC GOES WITH THIS ONE)
2 answers:
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Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation 
. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.
First let's plug x = 0 and f(x) = 0.
Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)
Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.
Next, we subtract equation 2 from equation 1.
Finally, we substitute the value of a to equation 2 to get the value of b.
Therefore, the function should be
First let's plug x = 0 and f(x) = 0.
Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)
Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.
Next, we subtract equation 2 from equation 1.
Finally, we substitute the value of a to equation 2 to get the value of b.
Therefore, the function should be
Answer:
- a. image 1
Step-by-step explanation:
<u>Given function:</u>
- f(x) = 2*3ˣ
<u>Plot two points and check which graph has those:</u>
- f(0) = 2*3⁰ = 2
and
- f(1) = 2*3¹ = 6
Points (0, 2) and (1, 6) are correct on the image 1 with blue graph
Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer:
The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.
Step-by-step explanation:
Consider the system of linear equations:
The system of linear equations can have zero, one, or an infinite number of solutions:
simplify equation (1):
substitute in equation (2), we get
we cannot find the value of and
.
so, there is no solution.
Multiply the equation (1) with 3 and put k is 6,
it means both equations are overlapped. Then, the solution has infinite solutions.
Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.