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Kay [80]
3 years ago
12

Fat has more than twice as many calories per gram as carbohydrates and proteins. A gram of fat has about 9 calories, while a gra

m of carbohydrate or protein has about 4 calories. The expression below represents the total number of calories in a food item.
9x+4(y+z)

What does the term 4(y+z) represent?

A. the number of grams of fat in a food item
B. the number of calories in a food item from fat
C. the number of grams of carbohydrates and proteins in a food item
D. the number of calories in a food item from carbohydrates and proteins
Mathematics
2 answers:
lesya [120]3 years ago
8 0
C.

y and z represent either proteins or carbohydrates, while x represents fats.
lutik1710 [3]3 years ago
7 0
<span>D. the number of calories in a food item from carbohydrates and proteins

hope this helps

since y and z stands for carbonhydrates & proteins, due to the fact that they both = 4 calories per gram

</span>
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F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).
const2013 [10]

Answer:

<u><em>f(x) * g(x) is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>f(x) - g(x) is </em></u><u><em>-2x + 5</em></u>

Step-by-step explanation:

<u><em>When finding the answer, we can notice they already give the values for the needed answers.</em></u>

<u><em>The first one requires f(x) and g(x). At the beginning of the question it shows that </em></u><u><em>f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).</em></u>

<u><em>The same goes for g(x). At the begginning of the question, it shows that </em></u><u><em>g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).</em></u>

<u><em>f(x) * g(x)</em></u>

<u><em>(2x+3) * (4x-2)</em></u>

<u><em>To find the answer, we need to </em></u><u><em>distibute the 2x+3 into 4x-2</em></u><u><em>.</em></u>

<u><em>To distribute, we do </em></u><u><em>:</em></u>

<u><em>2x * (4x-2)   +   3 * (4x-2)</em></u>

<u><em>First we distribute the 2x</em></u>

<u><em>2x * 4x  =  8x^2        and        2x * -2  =  -4x</em></u>

<u><em>8x^2 - 4x</em></u>

<u><em>Next we distibute the 3</em></u>

<u><em>3 * 4x  =  12x        and        3 * -2 = -6</em></u>

<u><em>12x - 6</em></u>

<u><em>Now we can combine them by</em></u><u><em> adding like terms </em></u><u><em>to get the asnwer:</em></u>

<u><em>8x^2 = 8x^2</em></u>

<u><em>-4x + 12x = 8x</em></u>

<u><em>-6 = -6</em></u>

<u><em>The first answer is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>Second question:</em></u>

<u><em>Since we already know the values for f(x) and g(x), all we have to do is </em></u><u><em>plug in the values</em></u><u><em>.</em></u>

<u><em>(2x+3) - (4x-2)</em></u>

<u><em>This time, since we are subtracting, all we have to do is </em></u><u><em>subtract like terms</em></u><u><em>.</em></u>

<u><em>2x - 4x = -2x</em></u>

<u><em>3 - (-2) = 5</em></u>

<u><em>The second answer is </em></u><u><em>-2x + 5</em></u>

3 0
2 years ago
If you shift the quadratic parent function, f(x)=x^2, right 12 units, what is the equation of the new function?
Kobotan [32]

Answer:

f(x)=(x-12)^2

Step-by-step explanation:

We know that the function f(x+m) equals to the function f(x) translated 'm' times to the left. Therefore, to translate the function f(x) = x^2 twelve units to the right, we have to:

f(x-12) = (x-12)^2

Therefore, the new function is: f(x)=(x-12)^2

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4 years ago
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3 years ago
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Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a
tatiyna

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

7 0
3 years ago
Last month, 17 people showed up to help a local charity. This month, 55 people volunteered. What is the percentage increase?
astra-53 [7]

Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

about 223.53 percent

6 0
3 years ago
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