Solve for v: -8(v - 6) + 7 ≤ -7(v + 1)

liraira [26]

The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

$(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)$

The graph of the picture shows two clear points (4.5. 0) and (0, 9)

$(y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9$

Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

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3 0

1 year ago

After 56 cans of soup were sold, a clerk moved the remaining cans to a display case. The display case had shelves that could eac

GaryK [48]

10 because if you take 56 divided by 9 that would equal 6.22222 so it would be 7 since you can’t have .222 shelves

6 0

2 years ago

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The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Us

sertanlavr [38]

Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4

8 0

2 years ago

A train has 6 passenger cars and each car has 4 columns of seats and each column holds 50 passengers. If one of the cars has 25

Tema [17]

Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers

So, total of seats will be = 6 * 4 * 50 = 1200

Now, there are 25 empty seats,

therefore the correct equation will be :

Number of seats per car: 4 × 50 = 200

Total number of seats: 200 × 6 = 1,200

Number of passengers: 1,200 − 25 = p

6 0

3 years ago

The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possib

mafiozo [28]

The numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

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6 0

1 year ago