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3 years ago

Find the slope of the line determined by the equation 2x=y

Mathematics

2 answers:

Jlenok [28]3 years ago

8 0

The slope is 2 or 2/1

Sphinxa [80]3 years ago

7 0

The slope is "2" (or " $\frac{2}{1}$ " .
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Explanation: When a linear equation is in "slope-intercept format"; that is,
____________________
y = mx + b ;
________________
"m" (the coefficient of "x" (the slope); and "b = the y-intercept.
_________________________
We are given the equation:
___________________________
"2x = y"; which can be written as:
↔ "y = 2x" ;
which is in "slope-intercept form", in the sense that: y = 2x + 0 ; (b = 0) .
_____________________________________________________
y = mx + b; m = 2, or 2/1, which is the slope, which is Δy/Δy, which is rise/run, which is our answer.
_________________________________________

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For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

lorasvet [3.4K]

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

$f(x)=4^{x-1}+2$

The average rate of change of a function over an interval $(x_1,x_2)$ is given by

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where

$f(x_1),f(x_2)$ are the values of the function calculated in $x_1,x_2$ respectively

For the function in this problem we have:

$x_1=1$ , so

$f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3$

$x_2=2$ , so

$f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6$

So, the average rate of change is

$r=\frac{6-3}{2-1}=\frac{3}{1}=3$

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4 0

3 years ago

Help please and thank you

Dominik [7]

Answer:

Step-by-step explanation:

We assume the rotation R is <em>counterclockwise</em> 60°.

The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.

When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.

$(\mathcal{R}^2\circ\mathcal{R}^{-4})(\text{figure})=\mathcal{R}^{-2}(\text{figure})=\text{figure rotated $120^{\circ}$ CW}$

The point 120° clockwise from B is D.

The desired image point is D.

3 0

3 years ago

Can a line be collinear

LenKa [72]

We can have two or more points lying on the same line collinear.

So we can say points lying on same line are collinear but a line cannot be collinear.

7 0

3 years ago

Can someone please help me with this!

Nady [450]

Answer:

It's Positive

Step-by-step explanation:

4 0

3 years ago

What is the smallest value of y in the solution set to the system of equations below?

n200080 [17]

Answer:

The smallest value of y in the given two equations is 78

Step-by-step explanation:

Given as :

The two equation is given as :

y = x² + 6 x +23 ...........1

y = 18 x - 12. ..........2

Now, solving both equations

putting the value of y from eq 2 into eq 1

So, x² + 6 x +23 = 18 x - 12

Or, x² + 6 x +23 - 18 x + 12 = 0

Or, x² - 12 x + 35 = 0

Or, x² - 5 x - 7 x + 35 = 0

Or, x (x - 5) - 7(x - 5) = 0

Or, (x - 5) (x - 7) = 0

∴ x = 5 , 7

Now, for smallest value of y , take x = 5

∴ put the value of x in eq 2

So, y = 18 x - 12

I.e y = 18 × 5 - 12

Or, y = 90 - 12

∴ y = 78

Hence, The smallest value of y in the given two equations is 78 . answer

7 0

3 years ago