Given f(x) = 3+5x2 find f(4)

Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

The answer is 43 = f(4)

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An angle 8 is drawn on the unit circle such that its terminal ray is in the second quadrant.

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Find the solution of the system of equations shown on the graph.

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Answer:

no solution

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The 2 lines shown here are parallel and never intersect

Hence the system has no solution

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A rectangle has an area of 20 ft.² in a similar rectangle has an area of 180 ft.² what is the ratio of areas of the similar

vovikov84 [41]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s^2}{s^2}=\cfrac{20}{180}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{20}{180}\implies \cfrac{s}{s}=\sqrt{\cfrac{20}{180}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{20}}{\sqrt{180}}\implies \cfrac{s}{s}=\cfrac{2\sqrt{5}}{6\sqrt{5}}\implies \cfrac{s}{s}=\cfrac{2}{6}\implies \cfrac{s}{s}=\cfrac{1}{3}$

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4 years ago

For questions 9-12, write each algebraic expression as a verbal expression.

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10. the difference between the number x and three
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A farmer has 45 chickens and rabbits. There are 140 legs all together . How many chickens do the farmer has? How many rabbits do

r-ruslan [8.4K]

Answer:

20 chickens
25 rabbits

Step-by-step explanation:

Let r represent the number of rabbits the farmer has. Then 45-r is the number of chickens. The total number of legs is then ...

4r +2(45-r) = 140

r +45 = 70 . . . . . . . . divide by 2 and simplify

r = 25 . . . . . . . . . the number of rabbits

45 -r = 20 . . . . . the number of chickens

The farmer has 20 chickens, and 25 rabbits.

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