Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m = 
= 
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line
C
Explanation:
That’s where the vertex of the slope will be
Answer:
Andre's height: y < x < 164
Step-by-step explanation:
We will first of all convert each of the statements to mathematical inequalities, before we combine them.
Let Andre's height be = x
Lin's height be = y
The maths teacher's height = 164
Andre is a little taller than Lin:
x > y
Andre is shorter than their maths teacher, who is 164 centimetres
x<164
Combining the two inequalities, we have Andre's height as
y < x < 164
This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.
Short answer A
This one is exactly the same (with number changes) as the last one. You cannot use t which is in time, to mix with pure numbers which in this case is grams. That means that both C and D are incorrect.
Now as with the last one, are you going to raise e to a minus number or a plus number? Remember that if e is raised to a plus number, the sample in this case will increase. You are watching a radioactive decay. The number has to be smaller. So B is eliminated. There is only one answer left and that's A. It should be correct.
A <<<<< answer
Answer:
The expression that represents the population of elk is: 
. It'll take 6 years for the population to reach 1,458 individuals.
Step-by-step explanation:
Since the number of elks triples every year and starts at 
, then after the first year the population will be:
While on the second year, it'll be:
On the third year:
And so on, therefore the expression that describes the population of elk as the years passes is:
If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.
The population will reach 1,458 elk in 6 years.
