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3 years ago

Determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Answer:

neither

Here's how you know:

first, i'll simplify it so both are in slope-intercept form (y = mx + b).

x-3y=6

-3y = 6 - x

y = (1/3)x - 2

y=3x+4 is already in slope-intercept form, yay :)

these lines are neither parallel nor perpendicular.

The equations of parallel lines have THE SAME SLOPES (y = mx + b --> m would be exactly the same).

In contrast, perpendicular lines have NEGATIVE RECIPROCAL SLOPES (y = mx + b --> m would be -1/m).

--> since the slopes of these match neither of these definitions, we know it must be neither.

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A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coup

aleksandr82 [10.1K]

Finding the equivalent multiplier, it is found that the function for the final price is:

P(x) = 0.68x.

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

There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.

Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
The equivalent multiplier is:

$0.85(0.8) = 0.68$

Thus, the function for the final price is:

$P(x) = 0.68x$

A similar problem is given at brainly.com/question/16999193

8 0

2 years ago

Read 2 more answers

If A is a 5 by 7 matrix, what is the maximum rank that A can have?

amm1812

Answer:

Step-by-step explanation:

Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.

Then, if A is a matrix $5\times 7$ the maximum number of pivots that can have is one by row, that is, 5.

Then the maximum rank that A can have is 5.

3 0

3 years ago

The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car

Black_prince [1.1K]

Answer: $4.5 \text{ miles per gallon}$

Step-by-step explanation:

Given : The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, $\text{1 km}=\dfrac{1}{0.609}\text{ mile}$

1 gallon = 3.785 liters

$\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}$

1 liter of gasoline = 0.729 kg

Then, $\text{1 kg}=\dfrac{1}{0.729}\text{ liter}$

$\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}$

Now, the fuel efficiency of car will be :

$7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}$

Hence, the car’s fuel efficiency in miles per gallon= 4.5

3 0

3 years ago

How does place value help me divide

Anna71 [15]

Place value helps you divide because it helps you to know where to put the numbers

3 0

3 years ago

Read 2 more answers

Plz help meeeeeeeeeee

PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

= (45 × 4) / 3

= 180/3

= 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

= 27/12

= 9/4

= 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

= 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

= 3/2

= 1.5

Thus, the complete table:

Miles 45 135 180 90

Hours 3/4 9/4 3 3/2

Verification:

Miles / Hour = 45/(3/4) = 60

Miles / Hour = 135 / 2.25 = 60

Miles / Hour = 180 / 3 = 60

Miles / Hour = 90 / 1.5 = 60

8 0

2 years ago