The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to
. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
The Prime Factorization of 1050: 2*3*5^2*7<span />
Answer:
sorry is its complicated
Step-by-step explanation:
Find the components of the definition.
f
(
x
+
h
)
=
x
2
+
2
h
x
+
h
2
−
9
f
(
x
)
=
x
2
−
9
Plug in the components.
f
(
x
+
h
)
−
f
(
x
)
h
=
x
2
+
2
h
x
+
h
2
−
9
−
(
x
2
−
9
)
h
The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
Find out more at: brainly.com/question/12490064
Answer: b=20
Step-by-step explanation:
Subsitute a for 20.
b=20/4-3
b=20/1
b=20