Five percent of what number is 1.25

Verify a ÷ b ≠ b ÷ a , if a = −3/4 and b = 4/5

Shalnov [3]

Given:

$a=-\dfrac{3}{4}$

$b=\dfrac{4}{5}$

To verify:

$a\div b\neq b\div a$

Solution:

We have,

$a=-\dfrac{3}{4}$

$b=\dfrac{4}{5}$

Now,

$a\div b=\dfrac{a}{b}$

$a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}$

$a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}$

$a\div b=-\dfrac{15}{16}$ ...(i)

And,

$b\div a=\dfrac{b}{a}$

$b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}$

$b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})$

$b\div a=-\dfrac{16}{15}$ ...(ii)

From (i) and (ii), it is clear that

$a\div b\neq b\div a$

Hence verified.

5 0

2 years ago

Which equation represents the function graphed on the coordinate plane? g(x) = |x Ă˘â‚¬"" 4| Ă˘â‚¬"" 10 g(x) = |x 4| Ă˘â‚¬"" 10

natta225 [31]

The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

Given-

The general form of the equation is,

$y=a|x-h|+k$

Let's compare it with the graph given. The graph opens upward with a slope of 1. Hence the value of $a$ is 1.

$y=|x-h|+k$

The vertex of the graph is shifted -4 to the right. Thus the value of the $h$ is -4.

$y=|x-(-4)|+k$

$y=|x+4|+k$

The graph is 10 down from the origin and hence, the value of k is -10.

$y=|x+4|-10$

Hence, The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

For more about the coordinate plane, follow the link below-

brainly.com/question/13611766

4 0

2 years ago

Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?

enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0

3 years ago

Find a polynomial function of lowest degree with

ra1l [238]

Answer:

x^3-4x^2+25x-100

Step-by-step explanation:

We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root

Combining the roots into a polynomial gives us:

(x+5i)(x-5i)(x-4)

Expand:

(x^2 + 25)(x-4)

x^3-4x^2+25x-100

8 0

1 year ago

from 2002 to 2012, the number of a particular make of cars sold at a dealership yearly declined to 500. The number is expected t

Alinara [238K]

To determine the number of cars that will be sold by the year 2020, we will use the equation,

N = (N1)(1 - r)^(t)

where N1 is the starting number of cars, r is the rate of the decrease, and t is the number of years from 2012. Substituting the konwn values,

N = (500)(1 - 0.028)^(8)
N = 398.38

The closest integer to the calculated value is 398. Thus, the answer is 398 cars.

3 0

3 years ago