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4 years ago

What is the inverse of the function f(x) = 2x – 10?

Mathematics

1 answer:

Papessa [141]4 years ago

7 0

Answer:

(x+10)/2

Step-by-step explanation:

interchange the variables x and y

x=2y-10

solve for y

y=x+10/2

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Which two expressions are equivalent to 7(t + 5)?

vodka [1.7K]

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

8 0

3 years ago

Find the equation of the straight line which passes through the point (-1,3) and make intercept on x - axis as thrice that on y

Triss [41]

Answer:

$y = -\frac{1}{3}x + \frac{8}{3}$

Step-by-step explanation:

Given

$(x_1,y_1) = (-1,3)$

$Intercept\ on\ x-axis = Intercept\ on\ y-axis.$

Required

Determine the equation

First, we calculate the intercepts using:

$\frac{x}{a} + \frac{y}{b} = 1$

Where

b = Intercept on y axis.

a = Intercept on x axis.

From the question:

$a = 3b$

The equation becomes:

$\frac{x}{3b} + \frac{y}{b} = 1$

Multiply through by 3b

$x + 3y = 3b$

We have: $(x_1,y_1) = (-1,3)$

So:

$-1 + 3 * 3 = 3b$

$8 = 3b$

Make b the subject

$b = \frac{8}{3}$

Substitute $b = \frac{8}{3}$ in $x + 3y = 3b$ to get the equation

$x + 3y = 3 * \frac{8}{3}$

$x + 3y = 8$

Make 3y the subject

$3y = -x + 8$

Make y the subject

$y = -\frac{1}{3}x + \frac{8}{3}$

5 0

3 years ago

I need help I don’t understand :(

sveticcg [70]

Answer:

Step-by-step explanation:

7 0

4 years ago

A rancher has a rectangular 40 acre piece of property fronting a highway. He wants to put a barbed-wire fence along his road fro

Lyrx [107]

An acre is a surface measure, used in agriculture in several countries.
According to the country and the time, it is equivalent to several surfaces.
We will use the following conversion:
1 acre = 43560 feet ^ 2
Thus:
40 acre = 1,742,400 feet ^ 2
The area of the rectangle is:
1,742,400 = (1,200) * (x)
Clearing the other dimension we have:
x = (1742400) / (1200)
x = 1452 feet
Answer:
He needs 1452 feet of fence.

8 0

3 years ago

3x is a ____ of 3x^2 - 6x^3.

Rufina [12.5K]

Answer:

$\boxed{factor}$

Step-by-step explanation:

<em>Hey there!</em>

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

<em>Hope this helps :)</em>

7 0

3 years ago