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777dan777 [17]
3 years ago
12

Which part of the graph best represents the solution set to the system of inequalities y>x+1 and y+x<-1

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

Part B

Step-by-step explanation:

i just took the test

dmitriy555 [2]3 years ago
4 0

Answer:

The answer is part B

Step-by-step explanation:

If you graph both inequalities you will see that they take up most of the left side. Use desmos to see for yourself.

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This year Albert and his grandfather's ages total to 64 years. In 3 years, Albert's grandfather will be 6 times as old. How many
Keith_Richards [23]

Answer: Albert's grand father is 50 years older that Albert this year.

Step-by-step explanation:

Let x represent Albert's age this year.

Let x represent Albert's grandfather age this year.

This year Albert and his grandfather's ages total to 64 years. This means that

x + y = 64- - - -- - - - - -1

In 3 years, Albert's grandfather will be 6 times as old. This means that

y + 3 = 6(x + 3)

y + 3 = 6x + 18

y = 6x + 18 - 3

y = 6x + 15

Substituting y = 6x + 15 into equation 1, it becomes

x + 6x + 15 = 64

7x = 64 - 15 = 49

x = 49/7

x = 7

y = 6x + 15 = 6 × 7 + 15

y = 57

The difference between their ages is 57 - 7 = 50 years

6 0
3 years ago
Select the correct answer<br> Solve this equation<br> X+4/6x = 1/x
laila [671]

Answer:

A) x = 0, 2

Step-by-step explanation:

(x + 4) / 6x =  1 / x

this is a proportion, so you can cross-multiply and get:

x(x + 4) = 6x

x² + 4x = 6x

x² - 2x = 0

x(x - 2) = 0

x = 0

x - 2 = 0  so, x = 2

5 0
2 years ago
monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star
GaryK [48]

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone=\frac{1}{3}\pi r^2 h

\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

\approx 205 Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

5 0
3 years ago
State the domain of the following relation and state if it is a function. (2, 4), (8, 6), (5, 5), (2, 7), (4, 5)
Makovka662 [10]
NOT a function ......................... :)
4 0
3 years ago
A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it
Bess [88]
It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.


4 0
3 years ago
Read 2 more answers
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