Answer:
x = 12
Step-by-step explanation:
Because if you multiply 3 and 4 its 12 Which makes the answer 12
Answer:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2
Answer:
Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)
The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.
Answer:
90
Step-by-step explanation:
The angle has no tilt, only a turn, and i used a ruler, and the rulers meet as an L, making it a 90
