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Nesterboy [21]
2 years ago
9

After placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he corr

ect? explain
x | f(x)
——————
-4 | 6
——————
-2 | 3
——————
0 | -1
——————
2 | -4
Mathematics
1 answer:
icang [17]2 years ago
4 0

Answer:

No, unless the function decides to follow a different pattern. See more explanation below.

Step-by-step explanation:

He is wrong, the table doesn't tell us what happens at x=6.

It does tell us the following:

1) When x=-4, f(x)=6.

2) When x=-2, f(x)=3.

3) When x=0, f(x)=-1.

4) When x=2, f(x)=-4.

So maybe he got it the x and f(x) value switched in his brain.

Because according to 1) x=-4 when f(x)=6.

If the points keep having x increase while y decreases, then every x>2 will have a y less than -4 correspond to it.

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The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

Step-by-step explanation:

\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}

Solving the first part of the question by indices,

\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = (-3)^{3-5}(2)^{6-2} = (-3)^{-2}(2)^{4} = \dfrac{(2)^4}{(-3)^2}

Comparing the rightmost term with the second term in the question,

<em>a</em> = 4, <em>b</em> = 2

Solving on,

\dfrac{(2)^4}{(-3)^2} = \dfrac{(2)\times(2)\times(2)\times(2)}{(-3)\times(-3)} = \dfrac{16}{9}

Comparing with the final term in the question,

<em>c</em> = 16 and <em>d</em> = 9

Therefore,

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

3 0
2 years ago
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Michael threw for 1,654 yards in his first five games. At this rate, how many yards will he have thrown for in fifteen games? ✗
vodka [1.7K]

Answer:

4,962 yards.

Step-by-step explanation:

We are given that,

For the first 5 games, Michael threw 1,654 yards.

Since, we see that, the relationship between the yards and the games are directly proportional.

Then for 15 games,

Michael will have thrown for \frac{1654}{5}\times 3 yards i.e. 1654 × 3 = 4,962 yards

Hence, for 15 games, Michael have thrown for 4,962 yards

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Which integer represents 50 degrees below zero?
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Answer:

-50

Step-by-step explanation:

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The given function is
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As x -> -∞, the argument of the log function becomes a large negative number.
Because the log of a negative number is undefined, f(x) is undefined as x -> -∞.

As x -> +∞, the argument of the log function becomes a large positive number.
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One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one anothe
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Answer:

P(at least 1 wrong in 10) =0.5160

Step-by-step explanation:

Let A be the event  that there is a problem in the proces. Then the probability of problem with the process is P ( A) = 0.07

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As we have to calculate at least 1 in 10 then we will subtract it from 1.

P(at least 1 wrong in 10) = = 1 - .93^10 =1- 0.48398=0.5160

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