Answer:
Step-by-step explanation:
x is tripled so it becomes 3x
it is decreased by 10 so it becomes 3x - 10
so the answer is <u><em>a) 3x - 10</em></u>
hope this helps
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Answer:
4.93 cm 475.9 mm 4.5 m 47.3 m
Step-by-step explanation:
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Answer:
a) (4,5)
b) (0,-3)
Step-by-step explanation:
We have to perform the following reflection over given ordered pair.
a) Reflect the ordered pair (-4,5) across the y-axis
Reflection over y-axis:
Thus, (-4,5) will be reflected over y-axis as
b) Reflect the ordered pair (0,3) across the y-axis
Reflection over x-axis:
Thus, (0,3) will be reflected over x-axis as
Use the remainder theorem: it says that if <em>x</em> - <em>c</em> is a linear factor of a polynomial <em>f(x)</em>, then the remainder upon dividing <em>f(x)</em> by <em>x</em> - <em>c</em> is equal to <em>f(c)</em>.
In this case,
<em>f(p)</em> = <em>p</em>⁴ - <em>p</em>² - <em>p</em> - <em>k</em>
and <em>p</em> - 1 is a factor of <em>f(p)</em>. We have
<em>f </em>(1) = 1⁴ - 1² - 1 - <em>k</em> = -(<em>k</em> + 1)
Because <em>p</em> - 1 divides <em>f(p)</em>, the remainder is 0, which means
-(<em>k</em> + 1) = 0
<em>k</em> + 1 = 0
<em>k</em> = -1