Y= aˣ . This is the exponential function:
If x = 2, then y = 36
36 = a² → a = 6
Then the equation becomes: y = 6ˣ
Answer:
9 steps
Step-by-step explanation:
Let be the number of jumps
and be the number of steps
So the first case
Second case
Both cover equal distances so
So, one jumps is 9 steps.
Answer:
The perimeter of a parallelogram = 58 ft
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite angles are also equal.
Area of parallelogram = base × height
Area = 162 ft²
area = bh
b = ?
h = 9 ft
162 = 9b
divide both sides by 9
b = 162/9
b = 18 ft
The perimeter of a parallelogram = 2(b + s)
where
b = base
s = the other sides
The perimeter of the parallelogram = 2(b + s)
The perimeter of the parallelogram = 2(18 + 11)
The perimeter of the parallelogram = 2(29)
The perimeter of the parallelogram = 58 ft
First step, i would try to figure out the slope. think of it as a typical y=mx+b linear equation as you check out the graph.
it's just rise over run (rise up this many, run over that many), and your options are (-2/3) or (-3/2)
start at the y-intercept, which is just above the middle of the graph. if you go down 2 and try to go over 3, you hit the line before you can count 3 units. that means this slope is incorrect.
go back to the y-intercept. down 3, over 2--there you go. your slope here is (-3/2), which immediately gets rid of half your answer choices for having the wrong slope
the next thing you have to do is decide <em>where</em> this graph should be shaded. the shaded region shows the domain; the white region shows what's outside of your domain. this inequality is shaded "below" which means that the y values are LESS than "(-3/2)x +1"
that eliminates another one of your answer choices; choice 3 is correct. the inequality is y < (-3/2)x + 1
if the graphs of inequalities are shaded below and the line is dotted, it's less than. if the graphs of inequalities are shaded above and the line is dotted, it's greater than. general rules for ya
Answer:
x = -3
Step-by-step explanation:
4x - 1 = -13
add 1 to each side
4x = -12
x = -3