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Rainbow [258]
3 years ago
9

The table shows values for functions f(x) and g(x) .

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
 However, there is another solution route. We have a table with the values.
 The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
 f (0) = g (0) = 1
 f (1) = g (1) = 1/2
 answer
 x = 0
 x = 1
 Note:
 F (0) in the table is incorrect if the function is
 f (x) = 0.5x
 F (0) in the table is correct if the function is
 f (x) = 0.5 ^ x
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Supply the missing information for each of the right triangles described below. In each example, θ = angle, O = opposite side, A
blagie [28]

Answer:

\therefore O = 1.9096

Step-by-step explanation:

Six trigonometric ratio:

  • sin\theta=\frac{opposite}{hypoteuse}
  • cos\theta=\frac{adjacent}{hypotenuse}
  • tan \theta=\frac{opposite}{adjacent}
  • cosec\theta=\frac{hypotenuse}{opposite}
  • sec\theta=\frac{hypotenuse}{adjacent}
  • tan \theta=\frac{adjacent}{opposite}

Given that,

θ = angle,  O= opposite side, A= adjacent side and H = hypotenuse.

H=11, sin θ=0.1736

We know that,

sin\theta=\frac{opposite}{hypoteuse}

\Rightarrow 0.1736=\frac{O}{11}

\Rightarrow O = 11 \times 0.1736

\Rightarrow O = 1.9096

\therefore O = 1.9096

3 0
4 years ago
HELP PLEASE! Describe the effects of a, h and k on each function. Describe any similarities or differences between the effects o
Marysya12 [62]
For all of these cases:

a: shrink the whole shape horizontally by a times (if a is negative, then it extends -a times)

h: left shift the shape h units (if h is negative, then it right shifts -h units)

k: up shift the shape k units (if k is negative, then it down shifts -k units)
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3 years ago
In the cafeteria's refrigerator, there are 12 bottles of orange juice and 24 bottles of apple juice. What is the ratio of bottle
tester [92]

Answer: 12:24

Step-by-step explanation:

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3 years ago
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The costs of different weights of onions sold at a grocery store are shown in the table
lana66690 [7]

Answer:

<h2>Independent variable: Weight of Onions.</h2><h2>Dependent variable: Total Cost.</h2>

Step-by-step explanation:

The given table is about the weight of onions in pounds and the total cost.

If you think this through, you would notice that the total cost depends on the number of pounds of onions. That means the independent variable is Weight of Onions and the dependent variable is the Total Cost.

So, to put it in a sentence: The weight of onions determines the total cost.

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3 years ago
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What is the measure of? angle PQR<br> [Not drawn to scale)<br> -51<br> -55<br> -74<br> -78
soldi70 [24.7K]

<u>Given</u>:

The exterior angle P is 74°

The measure of ∠PRQ is 51°

We need to determine the measure of ∠PQR

<u>Measure of ∠QPR:</u>

From the figure, it is obvious that P is the intersection of the two lines.

The angle 74° and ∠QPR are vertically opposite angles.

Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°

Thus, the measure of ∠QPR is 74°

<u>Measure of ∠PQR:</u>

The measure of ∠PQR can be determined using the triangle sum property.

Thus, we have;

\angle PQR+\angle QPR+\angle PRQ=180^{\circ}

Substituting the values, we get;

\angle PQR+74^{\circ}+51^{\circ}=180^{\circ}

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Thus, the measure of ∠PQR is 55°

Hence, Option B is the correct answer.

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3 years ago
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