Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)
Answer:
7
Step-by-step explanation:
first, plug in 3 for x:
7^2 / 3^2 - 2
then simplify:
49 / 9 - 2
49 / 7
7
Alright, so the population of the herd is 220 in 2012. This means that when it decreased by 10 percent in 2014, 10 percent of the population is taken away. To find 10 percent of the population, we simply multiply 220 by 0.1 due to that to get a percentage as a decimal, we simply divide the percentage amount by 100. In addition, as the elk population in 2012 represents 100% of the elk population that we’re starting with (100%=1, or the whole thing), 10% subtracted from 100% is 90% of the population, or 220*0.9 as the population in 2013. To get the population in 2014, we have to multiply the population in 2013 by 0.9 similar to how we got from 2012 to 2013. This means we multiply (220*0.9)*0.9=178.2, which rounds down to 178 as the next number, 2, is less than 5. If that 2 were to be 5 or higher, we would round up to 179.
Feel free to ask further questions!
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
