What is the solution to the system of equations below?
1 answer:
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
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Answer:
Here are some correct options:
225,891
234,567
232,987
Step-by-step explanation:
(a)
Domain:
we know that domain is all possible values of x for which any function ios defined
Here, curve is defined for all values of x
so, domain is
Range:
Range is all possible values of y for which x is defined
minimum value of y is -4
maximium value of y is +inf
so, range is
(b)
x-intercept:
It is the value of x where f(x)=0
so, the point where curve intersects on x-axis
and we get
and
(c)
Increasing interval:
where curve is moving upward
we can see that
Decreasing interval:
where curve is moving downward
we get
Constant:
constant means horizontal line
there is no horizontal line here
so, it does not exist
(D)
End behavior:
when x-->+inf
y is moving upward
so, y---->+inf
when x-->-inf
y is moving upward
so, y---->+inf
(E)
we can see that curve jupms at x=-1
so, there is discontinuity at x=-1
and this is jump type of discontinuity
(F)
For odd:
f(-x)=-f(x)
For even:
f(-x)=f(x)
we can see that none of them holds true
so, this is neither