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saul85 [17]
3 years ago
12

Which expression is the simplest form of 3(2x + y) + 4(x - 4y) + x2?

Mathematics
2 answers:
g100num [7]3 years ago
7 0

Answer:

x^2 +  10x - 13y.

Step-by-step explanation:

3(2x + y) + 4(x - 4y) + x^2   First apply the Distributive law to the parentheses:

= 6x + 3y + 4x - 16y + x^2  Now add like terms:

= 10x - 13y + x^2.

Elan Coil [88]3 years ago
7 0

Which expression is the simplest form of 3(2x+y)+4(x-4y)+x^{2}?

Answer:

x^{2}-13y+10x

Step-by-step explanation:

3(2x+y)+4(x-4y)+x^{2}

6x+3y+4x-16y+x^{2}

x^{2}-13y+10x

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How much would you be willing to rent an additional oven when the order size is 1 dozen cookies
Kamila [148]

The amount that you should be willing to rent an additional oven when the order size is 1 dozen cookies is the amount that is less than the profit of producing those cookies.

<h3 /><h3>What amount should be paid to rent an additional oven?</h3>

The dozen cookies that Kristen’s Cookie Company are about to make are an additional order which means that they do not have the ovens to make it.

They will therefore have to rent an additional oven. If they did this, the amount they pay for the additional oven should not give them losses. They should therefore rent the oven at a cost that is less than the profit they will get for the additional 1 dozen cookies.

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2 years ago
Brooke is making dish towels for the kitchen. If each towel uses 2 2/3 feet of fabric and she is making 8 towels, how much fabri
Julli [10]

2 \frac{2}{3}  \times 8 = 8 \times  \frac{2}{3}
=  \frac{16}{3}  = 5 \frac{1}{3 }  + 16 = 21 \frac{1}{3}
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\frac{1}{3}

3 0
3 years ago
Please answer it and provide a detailed explanation, thanks in advance.
inessss [21]

Answer:

C

Step-by-step explanation:

The amount Tony paid is 48 - (10% of 48). Since 10% of 48 is (0.10*48), which is equal to 4.8, Tony paid (48-4.8) dollars, or $43.20. It is given that Keith paid $42.95.

Therefore, Keith paid $0.25 less than Tony paid.

5 0
3 years ago
A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and
inysia [295]
Question 1

probability between 2.8 and 3.3

The graph of the normal distribution is shown in the diagram below. We first need to standardise the value of X=2.8 and value X=3.3. Standardising X is just another word for finding z-score

z-score for X = 2.8
z= \frac{2.8-3.1}{0.41} =-0.73 (the negative answer shows the position of X = 2.8 on the left of mean which has z-score of 0)

z-score for X = 3.3 
z= \frac{3.3-3.1}{0.41}=0.49

The probability of the value between z=-0.73 and z=0.49 is given by 
P(Z<0.49) - P(Z<-0.73)

P(Z<0.49) = 0.9879
P(Z< -0.73) = 0.2327 (if you only have z-table that read to the left of positive value z, read the value of Z<0.73 then subtract answer from one)

A screenshot of z-table that allows reading of negative value is shown on the second diagram

P(Z<0.49) - P(Z<-0.73) = 0.9879 - 0.2327 = 0.7552 = 75.52%

Question 2
Probability between X=2.11 and X=3.5

z-score for X=2.11
z= \frac{2.11-3.1}{0.41}=-2.41

z-score for X=3.5
z= \frac{3.5-3.1}{0.41} =0.98

the probability of P(Z<-2.41) < z < P(Z<0.98) is given by
P(Z<0.98) - P(Z<-2.41) = 0.8365 - 0.0080 = 0.8285 = 82.85%

Question 3
Probability less than X=2.96

z-score of X=2.96
z= \frac{2.96-3.1}{0.41}=-0.34
P(Z<-0.34) = 0.3669 = 36.69%

Question 4
Probability more than X=3.4
z= \frac{3.4-3.1}{0.41}=0.73
P(Z>0.73) = 1 - P(Z<0.73) = 1-0.7673=0.2327 = 23.27%



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Answer:

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