Find the perimeter. Use 3.14 for pi.

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

gogolik [260]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

$y-1=2\left(x-\left(-1\right)\right)$

$y-1=2\left(x+1\right)$

Add 1 to both sides

$y-1+1=2\left(x+1\right)+1$

Simplify

$y=2x+3$

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

$y=2x+3$

Hence, option D is true.

4 0

3 years ago

The interest that cindy earns on her investment is given by the equation /=42t where t is the time in years that her money is in

Len [333]

Answer:

Equation is 42t

So,

t=12

According to equation

Put value of t

=42(12)

=504

So 2nd option is correct.

5 0

3 years ago

Find the indicated limit, if it exists. limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less than 9 and

SVEN [57.7K]

Answer:

B. 18

Step-by-step explanation:

For the function

$f(x)=\left\{\begin{array}{l}x+9,\ \ x$

we can find the value of the function for all x that are very close to 9 but are less than 9 and for all values of x that are very close to 9 but are greater than 9.

1. For $x$

$\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(x+9)=9+9=18$

2. For $x\ge 9:$

$\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(27-x)=27-9=18$

So, limit exists and is equal to 18.

8 0

3 years ago

Which function is graphed?

Alexandra [31]

Hey there! :)

Answer:

C. {x² + 4, x < 2

{-x + 4 x ≥ 2

Step-by-step explanation:

This is a piecewise function, where the two equations are different. They are:

y = x²+ 4

y = -x + 4

The function x² + 4 is graphed where x < 2. (< is used because the circle is open)

The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)

Therefore, the correct answer is:

C. x² + 4, x < 2

-x + 4 x ≥ 2

5 0

3 years ago

You spent 1/2 of your money at the theater and 1/4 at an arcade. you have $17.50 left. How much money did you originally have?

4vir4ik [10]

You basically add 17.50+17.50=35 and add 35+35=70, reason being is because the 35 is the 1/2 and 17.50 is the 1/4 so 70 is your answer

6 0

3 years ago

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