GIVING BRAINLIEST Try the numbers 4, 5, 6, 7 in the equation 6 ⋅ x + 5 = 12 + 5 ⋅ x

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>

Solution:

Given equation is:

6x + 5 = 12 + 5x

Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution

Substitute x = 4

6(4) + 5 = 12 + 5(4)

24 +5 = 12 + 20

$29 \neq 32$

Thus 4 is not a solution

Substitute x = 5

6(5) + 5 = 12 + 5(5)

30 + 5 = 12 + 25

$35\neq 37$

Thus 5 is not a solution

Substitute x = 6

6(6) + 5 = 12 + 5(6)

36 + 5 = 12 + 30

$41\neq 42$

Thus 6 is not a solution

Substitute x = 7

6(7) + 5 = 12 + 5(7)

42 + 5 = 12 + 35

47 = 47

Thus 6 is a solution

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Eddi Din [679]

I got D.

There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:

1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator

1 - .1131 - .2005 = .6864

Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.