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borishaifa [10]
3 years ago
15

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (−8,2)

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

The parallel line would be y = -x - 6

Step-by-step explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

y = mx + b

2 = -1(-8) + b

2 = 8 + b

-6 = b

Now we can model the equation using that slope and the intercept.

y = -x - 6

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Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we
Delvig [45]

Answer:

Step-by-step explanation:

Let's first find the exponential function that models the situation in year one. The exponential standard form is

y=a(b)^x where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so

a = 80 (in millions)

If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1

The model for our situation is

y=80(1.1)^x where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.

When x = 2:

y=80(1.1)^2 and

y = 80(1.21) so

y = 96.8 million cars

When x = 3:

y=80(1.1)^3 and

y = 80(1.331) so

y = 106.48 million cars

The difference between years 3 and 2 is

106.48 - 96.8 = 9.68 million cars

7 0
3 years ago
Samantha is making some floral arrangements.The table shows the prices for packs of six of each type of flower.
belka [17]
Okay so the first thing we should do here is round 5.29 rounds to 5.30 3.59 rounds to 3.60 and 4.79 rounds to 4.80 now add all of those up youll get 13.7 you can round that to 14 so samanthas estimate is accurate
4 0
2 years ago
F(x)=2x ​2 ​​ +5√ ​(x+2) ​ ​​f(2)=
irga5000 [103]

f(x) 2x² + 5√(x+2)


f(2) = 2(2)² + 5√(2+2)

     = 2(4) + 5√4

     = 8 + 10

     = 18      <======= answer

4 0
3 years ago
Find the perimeter and area
stiks02 [169]

Answer:

The area is 63a

The perimeter is 39b

Step-by-step explanation:

8 0
3 years ago
The output of a function is 5 more than 2 times the input. Find the input when the output is 17.
Tanya [424]

Answer:

<em>The input when the output is 17 is x=6.</em>

Step-by-step explanation:

<u>Functions</u>

Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.

Knowing the output of the function is 5 more than 2 times the input, we can write the function as:

f(x)=2x+5

Now find the input x when the output is 17:

17=2x+5

Swap sides of the equation:

2x+5=17

Subtract 5:

2x=17-5=12

Divide by 2:

x=12/6=6

The input when the output is 17 is x=6.

7 0
3 years ago
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