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2 years ago

A. F(x) < 0 on the interval x < 0.

Mathematics

1 answer:

KiRa [710]2 years ago

3 0

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.

A. F(x) < 0 on the interval x < 0. TRUE

B. F (x) > 0 on the interval x <0. FALSE

C. F (x) < 0 on the interval 0 < x < 1. TRUE

D. F (x) > 0 on the interval 0 < x < 1. FALSE

E. F (x) < 0 on the interval 1 < x < 3. FALSE

F. F (x) > 0 on the interval 1 < x < 3. TRUE

G. F (x) < 0 on the interval x > 3. TRUE

H. F (x) > 0 on the interval x > 3. FALSE

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A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other th

Sveta_85 [38]

A kite has 2 short sides and 2 long sides. The 2 short sides are equal. The 2 long sides are also equal. This means that the other short side is 16cm. And the remaining longer sides can be found like this:
let's pretend *y* is the long side
2*y = 70 - 16 - 16. (two of the long sides = 70 - short side - another short side)
so use algebra to find y.
2*y = 38
y = 19 so the long sides are both 19cm each
Your final answer: 16cm, 19cm, 19cm

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3 years ago

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Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?

svetlana [45]

Please see the blue curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.

<h3>How to graph a transformed function</h3>

Herein we have an original function f(x). The transformed function g(x) is the result of compressing f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a Cartesian plane with the help of a graphing tool.

The result is attached below. Please notice that the original function f(x) is represented by the red curve, while the transformed function g(x) is represented by the blue curve.

To learn more on functions: brainly.com/question/12431044

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1 year ago

The diagram shows a triangle.

Basile [38]

Answer:

s=13

Step-by-step explanation:

$As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13$

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2 years ago

What is a congruent triangle

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When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there

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2 years ago

Planners of an experiment are evaluating the design of a sphere of radius r that is to be filled with helium (0°c, 1 atm pressur

Vikentia [17]

The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3)
The density of silver is 10.5g/cm^3
So the mass of the silver is computed by:10.5*(4/3)(pi)(3R^2T + 3RT^2 + T^3) = (14*pi)(3R^2T + 3RT^2 + T^3) = (14pi)T(3R^2 + 3RT + T^2)

Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3

Set the two masses equal: (pi/4200)R^3 = (14pi)T(3R^2 + 3RT + T^2) R^3 = 58800*T(3R^2 + 3RT + T^2) R / T = 58800*(3R^2 + 3RT + T^2) / R^2 = 58800*( 3+T/R^2+(T/R)^2)
then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)

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