Answer:
1832.45
Step-by-step explanation:
2735 - 33% = 1832.45
Answer:
<h2>
m = -2</h2>
Step-by-step explanation:
(3, 4) ⇒ x₁ = 3, y₁ = 4
(7, -4) ⇒ x₂ = 7, y₂ = -4
So the slope:
Answers:
- slope = 1
- equation is y = x-4
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Explanation:
Two points on this diagonal line are (0,-4) and (1,-3)
Let's apply the slope formula to get the following
m = (y2-y1)/(x2-x1)
m = (-3-(-4))/(1-0)
m = (-3+4)/(1-0)
m = 1/1
m = 1
The slope is 1. We can think of it as 1/1 to indicate "go up 1, and over to the right 1". In other words, slope = rise/run = 1/1.
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Note how the graph crosses the y axis at -4, so this is the y intercept.
Since the y intercept is -4, this means b = -4
So with m = 1 and b = -4, we go from y = mx+b to y = 1x+(-4) which simplifies to y = x-4
Solving a quadratic function, it is found that the ball has a height of 19 feet at t = 0.72 seconds and t = 1.22 seconds.
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
The solutions are:
In which:
In this problem, the function is:
h(t) = -16t² + 31t + 5
The height is of 19 feet when h(t) = 19, hence:
19 = -16t² + 31t + 5
16t² - 31t + 14 = 0.
Then:
More can be learned about quadratic functions at brainly.com/question/24737967
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The first step of solving this is to isolate the variable y in the first equation.
3x - y = -2 Subtract -3x from both sides
- y = - 3x - 2 Divide both sides by -1
y = 3x + 2
Now, substitute that y value into the second equation.
2x^{2} - y = 10 Substitute
<span>2x^{2} - (3x + 2) = 10 Multiply all of the numbers in the parentheses by -1
2x^{2} - 3x - 2 = 10
</span>
<span>So the correct answer choice is D) 2x^{2} -3x - 2 = 10.</span>
