Answer:
Step-by-step explanation:
error in measurement = 480 - 469 = 11 inches
Percent error = error *100/actual length
= 11 * 100 /480 = 2.9%
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
<h3>The value of y is equal to 1.</h3><h3>The value of x is equal to 4.</h3>
Because both equations have a term that will cancel out if they're added together, we're going to add both equations together.
-5x + 5x = 0
13y + 4y = 17y
-7 + 24 = 17
17y = 17
Divide both sides by 17.
y = 1
Now that we have a constant value of y, we can solve for x.
-5x + 13(1) = -7
-5x + 13 = -7
Subtract 13 from both sides.
-5x = -20
Divide both sides by -5.
x = 4
Answer:
B
Step-by-step explanation:
In order for something to have infinite solutions, both sides need to be equal to each other.
Example:
3x + 7y = 7y + 3x
That has infinite solutions
3x + 7y = 7x + 3y
That is not equal to each other because the variables are different.
Hope I helped :)
Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.
