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Licemer1 [7]
2 years ago
5

Write the absolute value function as a piecewise function f(x)=7|x|

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

Answer:

10x<9x>=-3

Step-by-step explanation:

6x +4x <-3 (5x-8>=-3

10x<-3(-3x>=-3

multiple the bracket by -3

10x<9x>-3

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one number is four times as large as another if the numbers are added together the result is six less than seven times the small
liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

4x + x = 7x - 6\\5x =  7x - 6\\-2x = -6\\x = 3

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0
3 years ago
3/4g=−12<br><br><br> Help me plz
anzhelika [568]

Answer:

g=-16

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
According to the Distributive Property, a(b + c) = ab + ac for all real
solong [7]

ab + ac + ad is the same as a(b + c + d) according to the distributive property

5 0
3 years ago
Is the mean age at which American children learn to walk less than 15 months? A study of 40 American children found a mean walki
Sonbull [250]

Answer:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 15

Alternative hypothesis: \mu

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

Step-by-step explanation:

We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 15

Alternative hypothesis: \mu

And for this case the best answer would be:

H 0 : μ ≥ 15 vs. Ha : μ < 15

And the data given from the sample is:

\bar X = 13.2 represent the sample mean

\sigma represent the population deviation

n = 40 represent the sample size

And the statistic would be given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

8 0
3 years ago
What's another name for a dog kennel?
ladessa [460]
Cage.....dog travel kit..... shelter.....pound.... it really depends on what you mean by dog kennel.
3 0
3 years ago
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