Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
Answer: 53 points
Step-by-step explanation:
Let the number of points gotten by Kate be represented by x.
Since we are given the information that Kevin got 52 points which was 54 points less than 2 times that of kates points. This can be formed into an equation as:
(2 × x) - 54 = 52
2x - 54 = 52
2x = 52 + 54
2x = 106
x = 106/2
x = 53
Kate got 53 points
<span>52 rounded to the nearest hundred </span>= 100
cause 52 > 50
hope it helps
I) 4 Gallons
II) $77
Step-by-step explanation:
30km 1 gallon
420km ?
420 ÷ 30 = 14
? = 40
So, 4 gallons more will be needed to complete the journey.
1 gallon $5.50
14 gallon $?
14 x $5.50 = $77
The cost of the petrol is $77
The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).
<h3>
What is slope of a line? </h3>
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
Using the slope and 1 point format: (y- y₁) = m(x - x₁)
where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)
x₁ = -2, y₁ = -1
Using: (y- y₁) = m(x - x₁)
y - -1 = 5(x - -2)
y + 1 = 5(x + 2).
To learn more about slope refer to:
brainly.com/question/3493733
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