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3 years ago

Please help im being timed Inverse of f(x)=15x+4

Mathematics

1 answer:

rusak2 [61]3 years ago

3 0

Answer:

$f^{-1}$ (x) =

Step-by-step explanation:

let y = f(x), then rearrange making x the subject

y = $\frac{1}{5}$ x + 4 ( subtract 4 from both sides )

y - 4 = $\frac{1}{5}$ x ( multiply both sides by 5 to clear the fraction )

5y - 20 = x

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = 5x - 20

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Find the solution for the following system of equations. y = -2x + 6 y = 3x - 4

Alex73 [517]

when you get this kind of exercise, you find need to find y or x in one of the exactions and fill it in in the other, however in this exercise the two y's are already given so all you need to do is replace the y in one of the exactions with the other exactions like this:

(keep in mind, you need to keep writing both of the exactions over again, otherwise you'll lose an exaction. and we'll need it later on)

y=-2x+6

y=3x-4

y=-2x+6

-2x+6=3x-4

y=-2x+6

-2x-3x=-4-6

y=-2x+6

-5x=-10

y=-2x+6

x= 2

and now replace the x in the first exaction with the x that we found:

y=-2(2)+6

x=2

y=-4+6

x=2

y=2

x=2

6 0

2 years ago

Find the slope between these two points!

Citrus2011 [14]

Answer:

$m = \frac{d - b}{c - a} \: where \: c \ne \: a$

Step-by-step explanation:

We use the slope formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope or gradient is not very difficult to calculate.

The given points are:

A(a,b) and B(c,d)

We substitute these points into the formula to get:

$m = \frac{d - b}{c - a} \: where \: c \ne \: a$

Note that this is also the same as:

$m = \frac{b - d}{a- c} \: where \: c \ne \: a$

4 0

3 years ago

HELP PLEASE LOTS OF POINTS

inna [77]

We are given

p: 1 is the multiplicative identity

Firstly, we will verify whether it is true

Multiplicative identity:

$A \cdot 1=A$

Here , 1 is the multiplicative identity

So, 1 is multiplicative identity

so, statement p is true

q: a · 0 = a

we know that whenever we multiply any expression by 0

It will result in 0

so, this statement is false

now, we will verify each options

option-A:

p \/ q

so, we can plug

T \/ F = T

so, this is TRUE

option-B:

p /\ q

so, we can plug

T /\ F = F

so, this is FALSE

option-C:

p --> q

we can plug

T-->F = F

so, this is FALSE

8 0

3 years ago

Whats the answer of -5+-2p=-9

Nikolay [14]

Answer:

p = 2

Step-by-step explanation:

Step 1: Write equation

-5 + -2p = -9

Step 2: Solve for p

Simplify: -5 - 2p = -9

Add 5 to both sides: -2p = -4

Divide both sides by -2: p = 2

Step 3: Check

Plug in p to verify it's a solution.

-5 - 2(2) = -9

-5 - 4 = -9

-9 = -9

7 0

3 years ago

Read 2 more answers

Solve for x, find the simplified radical & decimal

Ronch [10]

Answer:

x = 6 $\sqrt{2}$ = 8.485

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is $\sqrt{2}$ times the length of a leg.

So, if you are given the hypotenuse, then divide its length by $\sqrt{2}$

x = 12/ $\sqrt{2}$ = 12 $\sqrt{2}$ /2 = 6 $\sqrt{2}$ = 8.485

4 0

2 years ago