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3 years ago

Y = 2x + 4 2x - y = 6

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.

-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3

is a solid line that crosses the y-axis at (0, -3) and is shaded below the line

Problem 2:

first inequality is mentioned in problem 1

second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4

is a solid line that crosses the y- axis at (0, -4) and is shaded above the line

It is parallel to the first line because they have the same slope

Step-by-step explanation:

y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.

-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3

is a solid line that crosses the y-axis at (0, -3) and is shaded below the line

Problem 2:

first inequality is mentioned in problem 1

second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4

is a solid line that crosses the y- axis at (0, -4) and is shaded above the line

It is parallel to the first line because they have the same slope

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How many teaspoons of brine shrimp every day? There are about 125,000 Brine shrimp in 1 pound. A pound contains 96 teaspoons. A

sveticcg [70]

Answer:

$2\frac{38}{125}\ teaspoons$

Step-by-step explanation:

we know that

There are about 125,000 Brine shrimp in 1 pound

1 pound contains 96 teaspoons

There are about 125,000 Brine shrimp in 96 teaspoons

Using proportion

Find out how many teaspoons of brine shrimp represent 3000 Brine shrimp

Let

x -----> the number of teaspoons

$\frac{96}{125,000}=\frac{x}{3,000}\\\\x=3,000(96)/125,000\\\\x=\frac{288,000}{125,000}\ teaspoons$

Simplify

$\frac{288}{125}\ teaspoons$

Convert to mixed number

$\frac{288}{125}\ teaspoons=\frac{250}{125}+\frac{38}{125}=2\frac{38}{125}\ teaspoons$

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3 years ago

For an upcoming school dance, Mr. Abbot bought 24 bags of pretzels and 18 bags of chips.

Alex787 [66]

Answer: 3 chip bags for every 2 pretzel bag, or 3:2

Hope that ratio helps

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3 years ago

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Solve the equation below please. 5-1/2x=5/8x+2

swat32

the answer is

x= 8/3

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3 years ago

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Write an EXPRESSION for the following!

Anarel [89]

Answer:

The expression for 4 less than x is: x - 4

The expression for 17 more than x is: x + 17

The expression for the product of 18 and x is: 18x

The expression for the quotient of x and 17 is: x/17

The expression for 70 less than x is: x - 70

Step-by-step explanation:

4 less than x

4 less than a number is the number subtracted by 4. So the expression is x - 4.

17 more than x

17 more than a number is the number added to 17. So the expression is x + 17.

the product of 18 and x

The product of two numbers a and b is a*b, so the product of 18 and x is 18*x = 18x

the quotient of x and 17

The quotient of two numbers a and b is a/b, so the quotient of x and 17 is x/17.

70 less than x

70 less than a number is the number subtracted by 70. So the expression is x - 70.

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3 years ago

A survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream, 225 like pistachio ice cre

uysha [10]

Answer:

275

Step-by-step explanation:

Given that a survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream, 225 like pistachio ice cream, and 116 do not like chocolate or pistachio ice cream.

Total = 391

cholocate ice cream =150

pistchio ice cream = 225

Neither -=116

If we partition universal set into disjoint sets exhaustive

we have A-B, B-A, AB, and (AUB)'

Total = 391

Let n(AB) i.e. likes both be x

Then we have n(A-B) = 150-x and n(B-A) = 225-x

Totalling

$150-x+225-x+x+116 =391\\491-x =391\\x =100$

no of children who like atleast one kind of ice cream = n(U)-n(AUB)"

= 391-116

= 275

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3 years ago

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