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julsineya [31]
2 years ago
5

Simplify the following expression. ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

Mathematics
2 answers:
mihalych1998 [28]2 years ago
7 0

Answer:

11a − 29b − 50

Step-by-step explanation:

Subtract 7 from − 3

7a − 21b − 10 − 40 + 4a − 8b

Add 7a and 4a

11a - 21b - 10 - 40 - 8b

Subtract 8b from -21b

11a - 29b - 10 - 40

Subtract 40 from -10

11a - 29b - 50

zavuch27 [327]2 years ago
5 0

Answer:

11a - 29b - 50

Explanation:

⇒ ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

distribute inside parenthesis

⇒ -3 + 7a - 21b - 7 - 40 + 4a - 8b

collect like terms

⇒ 7a + 4a - 21b - 8b - 3 - 7 - 40

add or subtract like terms

⇒ 11a - 29b - 50

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Answer:

46

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3 years ago
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Evgen [1.6K]

Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

<u>In Table F:</u>

x = -13, then y = -2

x = -13, then y = 0

x = -13, then y = 5

x = -13, then y = 7

For the x-value -13, there are 4 different y-values, so <em>it's not a function.</em>

<u>In Table G:</u>

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence <em>this isn't a function.</em>

<u>In Table H:</u>

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so <em>this is a function.</em>

<u>In table J:</u>

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

For the x-value 0, there are 2 different y-value therefore <em>this isn't a function</em>

Hope this helps!

6 0
3 years ago
Mr. Thompson had a balance of $283.12 in his checking account at the beginning of the month he wrote checks for $23.09 $7.56 $12
ryzh [129]

Account balance is $123.08

Step-by-step explanation:

  • Step 1: Balance in Thompson's account = $283.12. Calculate the total amount of checks Thompson wrote in the month.

Total amount of checks = $23.09 + $7.56 + $125.11 + $4.28

                                        = $160.04

  • Step 2: Calculate his balance.

Account balance = $283.12 - $160.04

                            = $123.08

8 0
3 years ago
Please help i will give brainly
Aneli [31]

Answer:

20.4 ft

Step-by-step explanation:

Since they're similar triangles (same shape, but not necessarily the same size), then you can set them up as fractions to find the missing measure.

6/9.7 = ?/33

A quick way to do use this setup is to multiply 33 by 6, then divide by 9.7.

This gives you 20.4 ft

7 0
2 years ago
Suppose 44% of the students in a university are baseball players. If a sample of 736 students is selected, what is the probabili
zaharov [31]

Required probability is 0.8990

Given that,

p = 0.44

1 - p = 0.56

n = 736

\mu_\hat{p}} = p = 0.44\\\sigma_\hat{p}} = \frac{p*(1-p)}{n} = \sqrt(\frac{0.44*0.56)}{736} ) =0.01830

Converting Normal distribution to standard normal because  A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. Hence it's easy to work with standard normal distribution.

P(0.14<\hat{p}<0.47) =  P((0.41-0.44)/0.01830) < \frac{\hat{p} - \mu _{\hat{p}}  }{\sigma _{\hat{p}} }<(0.47-0.44)/0.01830

Using normal algebra we get:

= P(-1.64 < z < 1.64)

= P(z < 1.64) - P(z < -1.64)

= 0.9495 - 0.0505

= 0.8990

Thus, required probability is 0.8990

To learn more about normal distribution visit:

brainly.com/question/4079902

#SPJ4

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