Answer:
The maximum height of the ball is 256m
Step-by-step explanation:
Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t
At maximum height, the velocity of the ball is zero.
velocity = dh/dt
velocity = -32t + 128
Since v = 0 at maximum height
0 = -32t+128
32t = 128
t = 128/32
t = 4seconds
The maximum height can be gotten by substituting t = 4 into the modelled equation.
h = -16t² + 128t
h = -16(4)²+128(4)
h = -16(16)+512
h = -256+512
h = 256m
By applying concepts of <em>linear</em> functions, the graphs are related to the following expressions:
- (4/7) · x + 2
- x + 2
- (1/7) · x + 2
- - (1/7) · x + 2
- - x + 2
<h3>How to match a line with a given linear function</h3>
Graphically speaking, lines are described by <em>linear</em> functions, a kind of polynomials of grade 1, whose standard form is presented below:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
- m - Slope
- b - Intercept
Please notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the <em>resulting</em> expressions are shown in this order:
- (4/7) · x + 2
- x + 2
- (1/7) · x + 2
- - (1/7) · x + 2
- - x + 2
To learn more on linear functions: brainly.com/question/9330192
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Answer: The required product is 
Step-by-step explanation: We are to find the product f the following two algebraic expressions:
To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.
The multiplication is as follows:
Thus, the required product is
Answer:
x=2
Step-by-step explanation:
9x-8=10
Add 8 to each side
9x-8+8=10+8
9x = 18
Divide by 9
9x/9 = 18/9
x = 2
