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3 years ago

The table of values represents the function g(x) and the graph shows the function f(x).

Mathematics

1 answer:

Tanya [424]3 years ago

7 0

Answer:

B, C

Step-by-step explanation:

x-intercepts are when y=0. f(x) has two x-intercepts at (1, 0) and (5, 0). g(x) also has two x-intercepts; (-3, 0) and (5, 0). So the first one is false, and the second one is true.

The maximum value of f(x) is 2. The maximum value of g(x) is 4. So the third one is true.

The y-intercept is the value of y when x=0. So the y-intercept of f(x) is -1, and the y-intercept of g(x) is 3. So the fourth one is false.

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A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p

irinina [24]

Answer: The equation is f(x) = $0.95^{x}$ ;

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = $0.95^{x}$

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = $0.95^{x}$

0.6 = $0.95^{x}$

log 0.6 = log $0.95^{x}$

x. log (0.95) = log (0.6)

x = $\frac{log 0.6}{log 0.95}$

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

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Makovka662 [10]

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Use the prism to answer the question. S in 2 in What is the surface area of the prism? O A 136 in2 B 192 in2 C 240 in2 D272 in2

Vanyuwa [196]

Is there supposed to be a picture?? I see nothing im sorry. But i can help u cause this is just surface area, quite easy.
I will just give you the formula for surface area of a RECTANGULAR prism:
2 ( width x length + height x length + height x width) or just : 2 (wl + hl + hw)

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Eddi Din [679]

Answer: Choice C

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Graph with filled in circles at d = 0 and d = 2, shading in between

==========================================

Explanation:

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The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means $0 \le d \le 2$

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

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The table of values represents the function ​​ g(x) and the graph shows the function ​f(x)​.

The table of values represents the function g(x) and the graph shows the function f(x).