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2 years ago

4(3+1/4c-1/2d) apply the distributive property to create a equivalent expression

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

5 0

Answer iiiiiiis -2d+c+12

mina [271]2 years ago

5 0

Answer:

$4(3+\frac{1}{4}c-\frac{1}{2}d )=12+c-2d$

Step-by-step explanation:

The given expression is

$4(3+\frac{1}{4}c-\frac{1}{2}d )$

If we apply the distributive property, we must multiply 4 by each term inside the parenthesis, as follows

$3 \times 4 + \frac{1}{4}c \times 4-\frac{1}{2}d \times 4=12+c-2d$

Therefore, the equivalent expression is

$4(3+\frac{1}{4}c-\frac{1}{2}d )=12+c-2d$

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Below are summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts (a)

rjkz [21]

Answer:

option B

Step-by-step explanation:

The symmetric distribution have close or approximate values of median and mean. In the given scenario mean is 48.5 and median is 33. We can see that the both values significantly differs. Also, given mean is greater than median(48.5>33) . Thus, the distribution is positively skewed and not symmetrical.

Hence, the distribution is skewed because mean and median significantly differ from each other.

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2 years ago

How many cups of sorbet are used in 8 cups of punch?

tekilochka [14]

Given that 8 cups equals 100% of this punch, we need to figure out how many coups does 15% of sorbet make. This is how we do this:
8 (cups) : 100% (the entire amount of punch) = x (the number of sorbet cups) : 15% (the amount of sorbet used)
So:
x : 15 = 8 : 100
100x = 15 * 8
100x = 120
x = 1.2
The answer is 1.2 cups of sorbet were used in this punch.

4 0

2 years ago

Dr. Snycerski computed a confidence interval for the mean number of alcoholic beverages consumed per week in a random sample of

mr_godi [17]

Answer:

We are 95% sure that the true mean number of alcoholic beverages consumed per week by the population of all US college students is between 3 and 6.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% confidence interval is between 3 and 6.

This means that we are 95% sure that the true mean number of alcoholic beverages consumed per week by the population of all US college students is between 3 and 6.

7 0

2 years ago

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i

vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when $t > 0$

Profit after t months:

$P(t) = t^4 - 10t^3 + 28t^2 - 24t$

0 months:

This is P(0). So

$P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0$

1 month:

This is P(1). So

$P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5$

2 months:

This is P(2). So

$P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0$

3 months:

This is P(3). So

$P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9$

4 months:

This is P(4). So

$P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32$

5 months:

This is P(5). So

$P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45$

6 months:

This is P(6). So

$P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0$

7 months:

This is `P(7). So

$P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175$

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check brainly.com/question/24231879

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2 years ago

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to

agasfer [191]

Answer:

Step-by-step explanation:

Hello,

$(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}$

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1 year ago