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3 years ago

3a. Write an equation in slope-intercept form of a line that passes through (2,1) and (6,-5).

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

$y =- 3/2x + 4$

Step-by-step explanation:

$(2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide- through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4$

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Mary bought a pair of jeans on sale for 25% off. The original price for jeans was $79. What was the sale price before tax? Expla

TEA [102]

<h3>Answer: $59.25</h3>

========================================================

Explanation:

There are two approaches

Method 1

25% of 79 = 0.25*79 = 19.75

Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25

-----------------------------

Method 2

She saves 25% so she must pay the remaining 75%

75% of 79 = 0.75*79 = 59.25

This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.

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2 years ago

The cost of petrol rises by 2 cents a liter. Last week a man bought 20 liters at the old price. This week he bought 10 liters at

In-s [12.5K]

Answer: the old price for 1 liter is $0.3

Step-by-step explanation:

Let x represent the old price for 1 liter of petrol.

Last week a man bought 20 liters at the old price. This means that the total amount that the man paid for 20 liters is 20x.

The cost of petrol rises by 2 cents a liter. This means that the new price per liter is x + 2/100 = x + 0.02

This week he bought 10 liters at the new price. This means that the total amount that the man paid for 10 liters is

10(x + 0.02)

= 10x + 0.2

Altogether, the petrol costs $9.20. This means that

20x + 10x + 0.2 = 9.2

30x + 0.2 = 9.2

30x = 9.2 - 0.2

30x = 9

x = 9/30

x = 0.3

3 0

3 years ago

Shawna has $435.15 in her savings

galina1969 [7]

Answer:

H. $360.71

Step-by-step explanation:

The 1 in $435.15 is in the tenths place. It has a value of 1/10. One tenth that value is 1/100. To have that value, a 1 would need to be in the hundredths place: 0.01.

Of the offered choices, the only one with a 1 in the hundredths place is ...

H. $360.71