Graph y = log5x and its inverse.

Answers

Answer 1
Answer:
We graph y = log 5x using Google Sheets and get the inverse using rearrangements and simplification
y = log 5x10 ^ y = 5xx = 1/5 10^yy = 1/5 * 10^x
we also graph the inverse using Google Sheets. The graphs are attached below

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What is the x-intercept of the line with the equation 4x + 2y = 12?A. (0, 6)
B. (6, 0)
C. (0, 3)
D. (3, 0)

Answers

x intercept is where the line crosses the x axis or where y=0
set y=0

4x+2(0)=12
4x+0=12
4x=12
divide by 4
x=3

(x,y)
(3,0)

D is answer

Answer:

Option (d) is correct.

The x- intercept of the line with the given equation of  4x + 2y = 12 is (3,0)

Step-by-step explanation:

Given : Equation of  line 4x + 2y = 12

We have to find the x- intercept of the line with the given equation of  4x + 2y = 12 and choose the correct option from the given equations.

Consider the given equation  4x + 2y = 12  

x intercept is defined as a point where the line cuts y axis that is where point y is 0.

Put y = 0 , we have,

4x + 2(0) = 12

4x = 12

Divide both side by 4, we get,

x = 3

Thus, the x intercept of the line with the given equation of  4x + 2y = 12 is (3,0)

7x+3y=22 4y=20 I need to know how to write this equation out with the answer

Answers

\begin{cases} 7x+3y=22 \n 4y=20 \ \ /:4 \end{cases}\n \n\begin{cases} 7x+3 \cdot 5=22 \n y= 5 \end{cases}\n \n\begin{cases} 7x+15=22 \ \ |-15 \n 4y=20 \end{cases}

\begin{cases} 7x+15 -15=22 -15 \n y=5 \end{cases}\n \n\begin{cases} 7x =7\ \ / :7 \n y=5 \end{cases}\n \n\begin{cases} x =1 \n y=5 \end{cases}\n \n


7x+3y=22
4y=20

4y=20
y=5

Substitute to first equation
7x+15=22
7x=7
x=1

At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M

Answers

It was 5 degrees at 9 am

Answer:

5 I’m guessing

Step-by-step explanation:

If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.

The length of a rectangle is 5 centimeters less than 2 times the width.a. Write a polynomial expression that represents ( 2 points )
the area of the rectangle.Simplify the expression.

Answers

Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let x be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = 2x

5 centimeters less than 2 times the width = 2x-5

Length of the rectangle = 2x-5

We know that, the area of a rectangle is:

A=length * width

A=(2x-5)* x

A=2x^2-5x

Therefore, the required polynomial expression is A=(2x-5)* x and its simplified form is A=2x^2-5x.

Which statements best describe displacement? Check all that apply.Displacement is measured along the path an object travels.
Displacement is a measurement that includes direction.
Displacement is the difference between a starting point and an ending point.
Displacement is how far an object travels from starting point to ending point.
Displacement is measured as a straight line between a starting point and an ending point.

Answers

Answer: displacement is a measure that includes direction

Displacement is the difference between a starting point and a ending point

Displacement is measured as a straight line between a starting point and an ending point

Step-by-step explanation:

I think it’s how far an object travels from starting point to ending point.

Write an equation in the form Ax+By=C, given that m=2/3 and y intercept is (0,-3) where a,b, And c are integers

Answers

Answer:

2x - 3y = 9

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have

m=(2)/(3),\ (0,\ -3)\ro b=-3

Substitute:

y=(2)/(3)x-3

Convert to the standard form (Ax + By = C):

y=(2)/(3)x-3               multiply both sides by 3

3y=3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)x-(3)(3)

3y=2x-9                subtract 2x from both sides

-2x+3y=-9               change the signs

2x-3y=9