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kompoz [17]
3 years ago
15

Which function has the smallest y-intercept?

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

y=2x+1

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:

y=2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,3). When x of the line is 1, y of the line must be 3.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).

So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.

The equation of the line that passes through the point (1,3) with a slope of 2

is

<u>y=2x+1</u>

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Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in
VMariaS [17]

Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

6 0
3 years ago
Given 0 below, if GH and JK are congruent, what is the measure of KOJ?
alexira [117]

Answer:

D

Step-by-step explanation:

Since GH and JK  are congruent then the central angles are congruent, that is

∠KOJ = ∠HOG = 68° → D

8 0
3 years ago
Read 2 more answers
The cost of renting a car for a day is given by the linear function C(x)=0.09x +27, where C(x) is in dollars and x is the number
gulaghasi [49]

Answer:

C(x) = 38.7

Step-by-step explanation:

C(x)= 0.09(130)+27

C(x)= 11.7+27

C(x)= 38.7

4 0
3 years ago
The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
soldier1979 [14.2K]
Since x is the length, then x+7 has to be the width.
The area of a rectangle can be found via the formula :
A = length * width
So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get..
170 = x * (x+7)
[which is.. ]
170 = x^2 +7x
0 = x^2 +7x - 170

And that is the answer.
4 0
3 years ago
The figure below is a regular octagon with a side length of 8 inches.
Masteriza [31]

Answer:

309in²

Step-by-step explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²

3 0
3 years ago
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