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3 years ago

Graph the linear equation find three points that solve the equation then plot on the graph -3y=2x-7

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

$- 3y = 2x - 7 \\ y = - \frac{2}{3} x - \frac{7}{3}$
$\binom{1}{2} \: \: \: \: \: \: \binom{5}{ - 1} \: \: \: \: \: \: \binom{8}{ - 3}$
this is the line

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What point in the feasible region maximizes P for the objective function P = 2x + 3y? Constraints

Bond [772]

Suppose 2x + y = 15 -----eq 1 . x + 3y = 20 -----eq 2. Multiplying eq (1) by 1 and (2) by 2 and subtracting the result We have: 2x + y = 15 and 2x +6y =40.If we subtract, we have y - 6y = 15 - 40. So we have -5y = -25. y is 5. Substiting into eq (1), we have 2x + 5 = 15. 2x = 15-5 =10 Hence X =5.Hence option B is the correct option.

4 0

4 years ago

How many positive four-digit integers are multiples of 5 and less than 4,000

Volgvan

Answer:

Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

Explanation:

Lowest four digit positive integer = 1000

Highest four digit positive integer less than 4000 = 3999

We know that multiples of 5 end with 0 or 5 in their last digit.

So, lowest four digit positive integer which is a multiple of 5 = 1000

Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.

So, the numbers goes like,

1000, 1005, 1010 .....................................................3990, 3995

These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.

An = a + (n-1)d

3995 = 1000 + (n-1)x 5

(n-1) x 5 = 2995

(n-1) = 599

n = 600

So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600

6 0

3 years ago

Using coupons, you spend $135 grocery shopping. this is 75% of the total retail price of the groceries. how much would you have

Usimov [2.4K]

Let x be the total price. And you paid 75% of it which is $135.

x * 75/100 = 135
x = 180
You would have paid $180 if you had not used coupons.

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3 years ago

Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: T

Mila [183]

Answer:

No solution is possible from the information given.

The area of the lawn is unknown.

Step-by-step explanation:

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3 years ago

Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help

Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x - y = 7

x + 2y = 6

Step 2: Rewrite Systems

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

Step 3: Redefine Systems

7x - y = 7

x = 6 - 2y

Step 4: Solve for y

Substitution

Substitute in x: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

Step 5: Solve for x

Define original equation: x + 2y = 6
Substitute in y: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

7 0

3 years ago