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Lunna [17]
3 years ago
9

Decide whether the graphs of the given euqations are parallel perpendicular or neither

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0
<h3>Answer: C) perpendicular</h3>

Explanation:

Each equation given to you is in y = mx+b form (aka slope intercept form).

The slope m is what we'll focus on.

The first equation has slope of 1, while the second equation has slope -1.

The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.

Or you could note that -1 is the negative reciprocal of 1, or vice versa.

So there are a few options to see why the lines are perpendicular.

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The function f(x) = 30(1.4)x gives the number of bacteria in a science experiment, where x is the number of days after the start
Rainbow [258]

Answer:

115 bacteria

Step-by-step explanation:

The function that gives the number of bacteria in a science experiment is:

f(x) = 30(1.4)^x

Where x is the number of days

After 4 days (x = 4), the number of bacteria will be:

f(4) = 30 * (1.4)^4

f(4) = 39 * 3.8416

f(4) = 115.248 = 115 (To the nearest whole number)

The number of bacteria after 4 days is 115.

6 0
3 years ago
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it co
katrin2010 [14]

Answer:

\frac{3xr}{200}

Step-by-step explanation:

A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile

rate is cents . convert it in to dollars

1 cent = 1/100 dollars

r cents =  r/100 dollars

Each people travels x miles

cost is \frac{r}{100} \cdot x

For 3 people the cost is

3\frac{r}{100} \cdot x

Discount is 50%, so we divide by 2

\frac{3\frac{r}{100} \cdot x}{2} =\frac{3xr}{200}

3 0
3 years ago
Which is more important reasoning or instinct and why
zhuklara [117]
It really depends on what it is for. i would say reasoning for school work. bc it is better to go with facts.
6 0
3 years ago
Solve the equation. 6x - 3 (x+8) = 9
spin [16.1K]

Answer:

x=11

Step-by-step explanation:

6x-3(x+8)=9

Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.

Check:

66-3*19=9

66-57 does in fact equal 9.

3 0
3 years ago
Read 2 more answers
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)?
levacccp [35]
<span>The graph would be translated 5 units right and 1 unit up, giving an upward facing parabola with a vertex at (5, 1).

Explanation:
Since 5 was subtracted from x before it was squared, this means a horizontal translation 5 units. Since it was subtracted, this means it was translated right 5 units.

The 1 added at the end means it was translated 1 unit up as well.

This is in vertex form, y=a(x-h)^2 + k, where (h, k) is the vertex; h corresponds with 5 and k corresponds with 1, so the vertex is at (5, 1).</span>
6 0
3 years ago
Read 2 more answers
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