All categories

3 years ago

What is the inverse of the given relation? y= 4x-8

Mathematics

1 answer:

andrew-mc [135]3 years ago

4 0

to inverse a equation make all y's x and andy x's y

Thus the inverse is

x=4y-8

Evaluated to

4y=x+8

y= \frac{1}{4}x +2

You might be interested in

The hypotenuse of a right triangle is 10cm long. The longer leg is 2cm longer than the shorter leg. Find the side lengths of the

Crazy boy [7]

We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse

Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm

5 0

3 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

3 years ago

PERÍMETRO: Encuentra las dimensiones de un rectángulo con perímetro igual a 563 pulgadas, si su largo es 6 pulgadas menos que 4

Orlov [11]

Answer: 4x - 6 = 563

Suma 6 a ambos lados para aislar la variante 4x.

4x - 6 = 563

+6. +6

4x = 569

Divide ambos lados por 4

4x/4 = 569/4

X = 142.5

Step-by-step explanation:

4 0

3 years ago

Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map

Stolb23 [73]

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = $8\times3 =24 \ km$

Hence The real distance from shop to store is 24 kilometers.

8 0

3 years ago

Evaluate:-|137|+|13|

pychu [463]

Answer:

The answer is 150

Step-by-step explanation:

I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.

5 0

3 years ago