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sukhopar [10]
3 years ago
13

If mc010-1.jp g and mc010-2.jp g, which expression could be used to verify that mc010-3.jp g is the inverse of mc010-4. ? mc010-

5.j pg mc010-6.jp g mc010-7.jp g mc010-8.jp g

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then

\bf (g\circ f)(x)=x\implies g(~~f(x)~~)=x \\\\\\ \begin{cases} f(x) = 3x\\ g(x)=\cfrac{1}{3}x \end{cases}\qquad \qquad g(~~f(x)~~)=\cfrac{1}{3}[f(x)]\implies g(~~f(x)~~)=\cfrac{1}{3}(3x)

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The Best Theme Park sold 130 tickets in an hour and made $5,300 from ticket sales. An adult ticket sells for $50.00. A child tic
lilavasa [31]
The solution to the system is (90,40)....x = adults and y = child's...so x = 90 (there were 90 adult tickers) and y = 40 (there were 40 child tickets)...u already had the answer right in front of you
8 0
3 years ago
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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviati
DochEvi [55]

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

4 0
3 years ago
What is y=3x^2-2 in vertex form
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\bf \qquad \qquad \textit{parabola vertex form}
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y=a(x-{{ h}})^2+{{ k}}\\
x=a(y-{{ k}})^2+{{ h}}\qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
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3 0
3 years ago
Please help it's the SLOPE
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Answer:

-  \frac{4}{5}

Step-by-step explanation:

Please see the attached picture.

slope \\  =  \frac{1 - ( - 3)}{ - 3 - 2}  \\  =  \frac{1 + 3}{ - 5}  \\  =  -  \frac{4}{5}

☆In the gradient formula,

(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.

3 0
3 years ago
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
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Correct Answer: 
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Solution:
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Let the depth of pool is x feet. So we can write:

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<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
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3 years ago
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