Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
Answer:
212.5
Step-by-step explanation:
Here's a theorem about triangle areas.
If two similar triangles have sides in the ratio x:y,
then their areas are in the ratio x2:y2
The triangles have sides in the ratio:
LP/LN = 10/25
The two triangles have areas in the ratio 100:625 (4/25)
For every 4 in the small triangle, there are 25 in the larger triangle.
34/4 = 8.5
25 times 8.5 =212.5
Answer:
<u>-1 and -5</u>
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
<u>Moreover, the value of m by factoring is -1 and -5</u>
Answer:
16. -197 < -110
17. 167 > -65
18. Mercury, Earth, Mars, Jupiter, Uranus, Neptune
Step-by-step explanation:
It can help to plot these temperatures on a number line. The ones farther to the left are less than ones to their right.
__
16. -197 < -110 . . . Uranus < Jupiter
__
17. 167 > -65 . . . Mercury > Mars
__
18. Reading the graph from right to left, the order greatest to least is ...
Mercury, Earth, Mars, Jupiter, Uranus, Neptune
Not surprisingly, this is the order of these planets outward from the sun.
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