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Aneli [31]
3 years ago
12

Which line contains the point (1, -3)?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

<h2>4x - y = 7</h2>

Step-by-step explanation:

Put the values of x = 1 and y = -3 to the equations of a line and check the equality:

1. 4x - y = 7

4(1) - (-3) = 4 + 3 = 7   CORRECT

2. 2x + 5y = 4

2(1) + 5(-3) = 2 - 15 = -13 ≠ 7

3. 7x - y = 15

7(1) - (-3) = 7 + 3 = 10 ≠ 15

4. x + 5y = 21

1 + 5(-3) = 1 - 15 = -14 ≠ 21

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3 years ago
A new television set was recently purchased for the common room in a residence hall for $436.80 including tax the tax rate is 4%
garri49 [273]

Answer:

The price of the television before taxes is $420

Step-by-step explanation:

* Lets explain how to solve the problem

- The purchased price = cost price +  taxes

- A new television set was recently purchased for the common room

 in a residence hall for $436.80

- This price including tax

- The tax rate is 4%

- We need to find the price of the television before taxes

* <em>Lets solve the problem</em>

- Assume that the price of the television before tax is 100%

∵ The tax rate is 4%

∵ The price after tax = price before tax + tax

∵ The price before tax = 100%

∴ The price after tax  = 100% + 4% = 104%

∵ 104% equivalent to $436.80

∴ 100   ⇒   ?

  104   ⇒   436.80

- <em>By using cross multiplication</em>

∴ ? = \frac{(436.80)(100)}{104}=420

∴ The price of the television before taxes is $420

6 0
3 years ago
What is the factored form of this expression? 4t2 − 27t + 18
seraphim [82]

Answer:

(4t − 3) (t − 6)

Step-by-step explanation:

Using AC method:

Given a quadratic ax² + bx + c, find factors of ac that add up to b.  Divide those factors by a and reduce.  The denominators become the coefficients and the numerators become the constants.

Here, a = 4, b = -27, and c = 18.

ac = 4 × 18 = 72

Factors of 72 that add up to -27: -3 and -24

Divide factors by a: -3/4 and -24/4

Reduce: -3/4 and -6/1

So the factored expression is:

(4t − 3) (t − 6)

5 0
4 years ago
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