Answer:
f(-3) = 15
Step-by-step explanation:
f(x)= 2x^2 - 3
Plug in x = -3 into the function
f(-3) = 2(-3)^2 - 3
f(-3) = 18 - 3
f(-3) = 15
Answer:
The answer to your question is: y ≥ - x + 6 and y ≥ x - 4
Step-by-step explanation:
Look of a pairs of points for each graph
Line 1 Line 2
A(0, 6) B (5, 1) C (7,3) D(5, 1)
m = (1- 6) / (5- 0) m = (1 - 3) / (5 - 7)
m = -5/5 = -1 m = -2 / -2 = 1
Find the line equation for each slope (y - y1) = m (x - x1)
(y - 1) = -1 (x - 5) (y - 1) = 1 (x - 5)
y - 1 = -x + 5 y -1 = x - 5
y = -x + 5 + 1 y = x - 5 + 1
y = -x + 6 y = x - 4
Inequality
y ≥ - x + 6 y ≥ x - 4
There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
Answer:
Mr. Snowbully
Step-by-step explanation:
I think the mean hourly snowfall is named Mr. Snowbully
It's a funny name!
Well, the snow would grow at a rate of 4 cm every hour so...
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