Jess & Gabriel
The LaBrant Family
The Tiny Tribe
LaurDIY
Alex Wassabi
And i watch other ytbers but rarely.
Answer:
4.35 seconds.
Step-by-step explanation:
Let x represent the time the independent variable and y be dependent variable (height of the ball).
We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.
We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.
As point (2,18) represents maximum height of ball, so it will be vertex of parabola.
Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.
We know that vertex form of a downward opening parabola is in form:
Let us find value of a using point (0,5).
Therefore, the equation can be used to find the height of ball after x seconds.
To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.
Taking square root of both sides of our equation we will get,
Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.
The length on the blueprint is 42 mm.
Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is used to draw the enlarged or reduced shape of any given figure and to find the missing length, area, or volume of an enlarged or reduced figure. It should be noted that the scale factor helps in changing the size of the figure and not its shape.
We have,
On the blueprint of a house, 28 millimeters represents 6 meters.
The actual length of the living room is 9 meters.
Then, 6 meter represents
= 28/6
= 14/3
So, the length of living rooms
= 9 x 14/3
= 42 mm
Learn more about Scale Factor here:
#SPJ1
Answer:
1. Find the value of the discount amount, and subtract from the original.
2. Find the value of the item after discount by using 100%-30%.
I prefer the second, as it is faster.
Step-by-step explanation:
1. Find the value of the discount amount, and subtract from the original.
Say y is the amount you pay after the discount, and x is the original price, the calculation will look like this:
The value of the discount is 30% of x, which is equal to 0.3x.
subtract that from the original value to find y:
y = x - 0.3x
2. Find the value of the item after discount by using 100%-30%.
The amount left over after subtraction thirty % is 70%
Thus,
y = 0.7 x
Answer:
Second option:
Step-by-step explanation:
A quadratic function has the form:
(Where )
You can observe that the highest exponent of a quadratic function is 2.
Then, let's check which of the options shows a quadratic function:
1)
Its highest exponent is 3, then this is not a quadratic function.
2)
Its highest exponent is 2 and , then this is a quadratic function.
3)
Its highest exponent is 1, then this is not a quadratic function.
4)
You can observe that , then this is not a quadratic function.
Answer:
B. f(x) = –7x2 – x + 2
Step-by-step explanation:
the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !