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Mathematics

1 answer:

MAXImum [283]3 years ago

7 0

The first one is 24 the second is 96

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3x + 2y = 6<br> 4x + y = 1<br> Solve the system of equations.

likoan [24]

3x+2y=6 -
8x+2y=2
_________
-5x=4
x=-4/5

-2.4+2y=6
y=8.4

7 0

3 years ago

ASAP PLEASE HELP!! 50 POINTS

svetlana [45]

Answer/Step-by-step explanation:

Total Distance = 3Ft

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

Amplitude = 3/2 = 1.5 period = 10 second

$\frac{0}{1} =\frac{2\pi }{b}$ $b=\frac{\pi }{5}$ No ph. Shift

b) Write an equation of a function that models the buoy with x=0 at its highest point.

y= 1.5 cos ( $\frac{\pi }{5} x$ )

3 0

3 years ago

A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

lianna [129]

In your question that ask to calculate the area of one of the tiles if a semicircular archway in the front of the garden is using 8 congruent granite tiles and the area of one of the tiles is 2.9ft ^2. I hope you are satisfied with my answer and feel free to ask for more.

5 0

3 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

0.64 as a fraction in lowest terms

Nezavi [6.7K]

16/25 is 0.64 as a fraction in lowest terms

5 0

3 years ago

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