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3 years ago

Evaluate the piecewise function at the given values of the independent variable

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:

2(-1) + 3 = 1

b) For f(0), we use the part for when x $\geq$ 0.

4(0) + 5 = 5

c) For f(2) we use the part for when x $\geq$ 0.

4(2) + 5 = 13

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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 ( $\frac{\pi }{5} x$ )

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2 years ago

Seattle, wa and san francisco, ca lie on the same longitudinal line. san francisco is at 38° latitude and seattle is at 47° lati

Varvara68 [4.7K]

Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

Calculate what fraction of the angle 360° is the angle α:

$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

Calculate the circumference of the Earth (circle):

$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

$\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi$

$\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi$

<h3>Answer: A) 628 miles</h3>

8 0

2 years ago

BRAINLIEST + 7 POINTS TO FIRST CORRECT ANSWER

timama [110]

Answer:

it has 11 faces 10 sides for the decagon + 1 for the base

It does have one face that is a decagon, which is the base, the rest are triangles

it has 20 edges

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20log_%7B10%7D%20%5C%3A%20x%3D%204" id="TexFormula1" title=" log_{10} \: x= 4" alt=" log_{10}

Alinara [238K]

Answer:

$log_{10}(x ) = 4$

the property of Logarithms,

$log_a(x)= y \\ \implies x=a^y$

so,

$x = {10}^{4}$

7 0

3 years ago

Solve the inequality. 3/4x−2/3≤5/6 Choose the solution that is graphed on this number line.

Gemiola [76]

Answer:

<em>(when graphed, closed circle on two, shaded to the left)</em>

Step-by-step explanation:

3/4 x - 2/3 ≤ 5/6

Add 2/3 to both sides:

3/4x ≤ 5/6 + 2/3

3/4x ≤ 3/2

Divide by 3/4 on both sides:

x ≤ 3/2 ÷ 3/4

x ≤ 2

5 0

2 years ago