Complete the synthetic division problem below.

Which phase describe the variable expression z+8

GuDViN [60]

A + b phrase describe the variable expression y + 8

6 0

4 years ago

An individual needs a daily supplement of at least 420 units of vitamin C and 170 units of vitamin E and agrees to obtain this s

Ierofanga [76]

Answer:

To obtain equivalent amount from both foods we can eat 10 ounces of Food I and 5 Ounces of food II

To obtain minimum cholesterol, the individual should eat only 21 ounces of food II and zero ounce of food for the daily supplement of the individual

Step-by-step explanation:

Food I contains 32×C + 10×E per ounce

Food II contains 20×C + 14×E

Here we have X × (Food I) + Y × (Food II) = 420 C + 170 E

32·X + 20·Y = 420 C

10·X + 14·Y = 170 E

Therefore

X = 10 and Y = 5

To minimize the cholesterol, we can increase amount of Food II to get

21 ounces of food II gives

420 units of vitamin E and 294 units of vitamin E with 273 units of cholesterol.

3 0

3 years ago

I need on help on this!

ElenaW [278]

The probability that the marble taken out is yellow is 1/4

Step-by-step explanation:

Total marbles = 12

Yellow marbles = 3

Probability that the marble taken out is yellow= No of yellow marbles/total marbles.

Probability that the marble taken out is yellow= 3/12

Probability that the marble taken out is yellow= 1/4

So, the Probability that the marble taken out is yellow is 1/4

Keywords: Probability

Learn more about Probability at:

#learnwithBrainly

7 0

3 years ago

Please explain in steps!

iragen [17]

$3. \: {2 + 4^2} - 4+ 2 \\ = 2 + 16 - 4 + 2 \\ = 18 - 4 + 2 \\ = 14 + 2 \\ = 16 \\ \\ 4. \: {84 + 7}^{2} - 9 + 2 \\ = 91^{2} - 9 + 2 \\ = 8281 - 9 + 2 \\ = 8272 + 2 \\ = 8274 \\ \\ 5. \: {5 ^{2} + 7} + 5 - 6 \\ = 25 + 7 + 5 - 6 \\ = 32 + 5 - 6 \\ = 37 - 6 \\ = 31 \\ \\ 6. \: {4^{2} + 7} + 4 - 10 \\ = 16 + 7 + 4 - 10 \\ = 23 + 4 - 10 \\ = 27 - 10 \\ = 17 \\ \\ 7. \: 2 - {4 + 2}^{2} + 9 \\ = 2 - 6^{2} + 9 \\ = 2 - 36 + 9 \\ = - 34 + 9 \\ = - 25 \\ \\ 8. \: 3 - {6 + 3}^{2} + 9 \\ = 3 - 9^{2} + 9 \\ = 3 - 81 + 9 \\ = - 78 + 9 \\ = - 69 \\ \\ 9. \: {42 + 7}^{2} - 2 + 5 \\ = 49^{2} - 2 + 5 \\ = 2401 - 2 + 5 \\ = 2399 + 5 \\ = 2404 \\ \\ 10. \: {2^{2} + 5} \times 2 - 7 \\ = (4 + 5) \times 2 - 7 \\ = 9 \times 2 - 7 \\ = 18 - 7 \\ = 11 \\ \\ 11. \: 6 \times {66 + 11 - 5}^{2} \\ = 6 \times 77 - 5^{2} \\ = 6 \times 72^{2} \\ = 6 \times 5184 \\ = 31104 \\ \\ 12. \: {78 + 13}^{2} - 8 + 5 \\ = 91^{2} - 8 + 5 \\ = 8281 - 8 + 5 \\ = 8273 + 5 \\ = 8278$

5 0

3 years ago

The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century

ira [324]

The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

<h3>What is the Venn diagram?</h3>

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

$\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0$

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

$=\rm \frac{x +2x + 32}{100}$

$=\rm \frac{9.88 +2(9.88) + 32}{100}$

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ1

7 0

3 years ago