Answer:
YES
Step-by-step explanation:
I'll start with 72/12
= 6
6 is does not have any decimals,
Therefore YES
Answer:
x=3+2×sqrt(3)
x=3-2×sqrt(3)
Step-by-step explanation:
2(x-3)²-24=0
2(x-3)²=24
(x-3)²=12
Case 1:
x-3=sqrt(12)=2×sqrt(3)
x=3+2×sqrt(3)
Case 2:
x-3=-sqrt(12)=-2×sqrt(3)
x=3-2×sqrt(3)
Answer:
D
Step-by-step explanation:
Differentiate the function and set it to zero:
f'(x) = -10x + 13
0 = -10x + 13
x = 1.3 seconds
Plug the x value into f(x):
f(1.3) = -5(1.3)^2 + 13(1.3) + 6 = 14.45 meters
Answer:
7
4
Step-by-step explanation:
The <u>actual values</u> are shown on the given graph as <u>blue points</u>.
The <u>line of regression</u> is shown on the given graph as the <u>red line</u>.
From inspection of the graph, in the year 2000 the actual rainfall was 43 cm, shown by point (2000, 43). It appears that the regression line is at y = 50 when x is the year 2000.
⇒ Difference = 50 - 43 = 7 cm
<u>In 2000, the actual rainfall was </u><u>7</u><u> centimeters below what the model predicts</u>.
From inspection of the graph, in the year 2003 the actual rainfall was 44 cm, shown by point (2003, 40). It appears that the regression line is at y = 40 when x is the year 2003.
⇒ Difference = 44 - 40 = 4 cm
<u>In 2003, the actual rainfall was </u><u>4</u><u> centimeters above what the model predicts.</u>
Answer:
y = 
Step-by-step explanation:
Given
y = 3xy - 1
Collect terms in y on the left side by subtracting 3xy from both sides
y - 3xy = - 1 ← factor out y on the left side
y(1 - 3x) = - 1 ( divide both sides by 1 - 3x
y =
← multiply numerator/denominator by - 1
y = 