Answer: (-2, -2)
Step-by-step explanation:
When you approach these types of questions, first look for a pattern. Both the x and y value are divided by 2.5 in the image, so do the same with point t. The image would be -5/2.5, -5,2.5 or -2, -2
Let
x = number of apples.
y = number of oranges.
we have to write the following equation to represent the problem:
4x + 6y = 15
To satisfy the equation, Jon must have used
x = 2.25
y = 1
Substituting
4 (2.25) +6 (1) = 15
9 + 6 = 15
answer
Jhon used 2.25kg of apple and 1kg of orange to make the salad.
Note: Since the problem does not have any other restrictions, there may be several apple and orange combinations that cost $ 15 per salad.
Answer:
The coordinates are 3,1
Step-by-step explanation:
i did the assignment and it js correct
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.