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m_a_m_a [10]
3 years ago
6

Keith used the following steps to find the inverse off, but he thinks he made an error

Mathematics
2 answers:
Sholpan [36]3 years ago
5 0

Answer:

Option D In step 4 Keith should have subtracted 5 from each side

Step-by-step explanation:

step 1

we have

f(x)=7x+5 -----> given

step 1 is correct

step 2

Change f(x) to y

y=7x+5

so

step 2 is correct

step 3

Exchange x for y and y for x

x=7y+5

so

step 3 is correct

step 4

Subtract 5 each side

x-5=7y+5-5

x-5=7y

<u><em>step 4 is not correct</em></u>

step 5

Divide by 7 each side

(x-5)/7=y

step 6

Change y to g(x)

(x-5)/7=g(x)

step 7

switch sides of the equation

g(x)=(x-5)/7

therefore

In step 4 Keith should have subtracted 5 from each side

Orlov [11]3 years ago
4 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that Keith used the following steps to find the inverse off, but he thinks he made an error.

The correct steps are:

Step 1: f(x)=7x+5

Reason: Given

Step 2: y=7x+5

Reason: Change f(x) to y.

Step 3: x=7y+5

Reason: Switch x and y.

Step 4: x-5=7y

Reason: Subtract 5 from each side.

Step 5: \frac{x-5}{7}=y

Reason: Divide each side by 7.

Step 6: \frac{x-5}{7}=g(x)

Reason: Change y to g(x).

Step 7: g(x)=\frac{x-5}{7}

Reason: Switch sides of the equation.

In step 4 Keith add 5 but she should have subtracted 5 from each side.

Therefore the correct option is D.

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Answer: B) [-0.0332,0.1332]

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First, let's find population proportion for each population:

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\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395

\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316

Now, we calculate standard error for difference:

SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}

SE=\sqrt{0.0395^{2}+0.0316^{2}}

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

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0.25-0.2 ± 1.645(0.0505)

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The limits of this interval are:

inferior: 0.05 - 0.0831 = -0.0332

superior: 0.05 + 0.0831 = 0.1332

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The recommended dose for a brand nicotine patch is one 21-mg dose per day for 6 weeks, followed by 14 mg per day for 2 weeks, an
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Answer:

1.176 grams

Step-by-step explanation:

Given:

Recommended dose

21 mg per day for 6 weeks

Now,

1 week = 7 days

Thus,

number of days in 6 weeks = 6 × 7 = 42 days

Therefore, the total dose = dose per days × number of days

= 21 × 42 = 882 mg

further,

14 mg per day for 2 weeks

Now,

1 week = 7 days

Thus,

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