All categories

3 years ago

Step-by-step how-to evaluation

Mathematics

2 answers:

lina2011 [118]3 years ago

6 0

First, we can use distribution property to simplify the expression.

Distribution property
$\boxed{a(b+c) = ab+ac}$

$126( \frac{8}{9}+ \frac{x-4}{7} )$
$=126( \frac{8}{9} )+126( \frac{x-4}{7})$
$= \frac{126(8)}{9} + \frac{126(x-4)}{7}$

Second, simplify the numerator and the denominator
Because the numerator (126) and the denominator (9) on the first term has 9 as the greatest common factor, divide the numerator and the denominator by 9.
$= \boxed{\frac{126(8)}{9}} + \frac{126(x-4)}{7}$
$= \boxed{\frac{14(8)}{1}} + \frac{126(x-4)}{7}$
$= 14(8) + \frac{126(x-4)}{7}$

Because the numerator (126) and the denominator (7) on the second term has 7 as the greatest common factor, divide the numerator and the denominator by 7.
$=14(8) + \boxed{\frac{126(x-4)}{7}}$
$=14(8) + \boxed{\frac{18(x-4)}{1}}$
$=14(8)+18(x-4)$

Third, simplify the first term by multiplication, simplify the second term by distribution property
= 14(8) + 18(x - 4)
= 112 + 18(x - 4)
= 112 + 18x - 18(4)
= 112 + 18x - 72

add the constant (112) with the other constant (-72)
= 18x + 112 - 72
= 18x + 40

<u>This is the simplest expression</u>
$\boxed{18x+40}$

Orlov [11]3 years ago

3 0

Least common multiple=lcm
lcm(9,7)=63

126(8/9 + (x-4)/7 )=
126(7*8+9(x-4)/63=
126(56+9x-36)/63=
126(20+9x)/63= (126/63=2)
2(20+9x)=
40+18x

Answer: 126(8/9 + (x-4)/7 )= 40+18x

You might be interested in

Find the diameter of the circle with the given circumference use 3.14 C=18

algol [13]

The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
pi*r = 9

Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped

3 0

3 years ago

The figure shows a map of five streets that meet at Concord Circle. The measure of the angle formed by Melville Road and Emerson

DiKsa [7]

Do you have a picture?

4 0

4 years ago

Read 2 more answers

Rewrite 5/ 16 + 6/ 20 with a common denominator.

Troyanec [42]

25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.

5 0

3 years ago

Read 2 more answers

How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these simila

jeyben [28]

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

$\frac{a}{b} =c$

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If $a = x^{2}$ and $b = x$ , then:

$c = \frac{x^{2}}{x}$

$c = x$

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If $a = 3\cdot x^{3}$ and $b = x$ , then:

$c = \frac{3\cdot x^{3}}{x}$

$c = 3\cdot x^{2}$

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If $a = 10^{2x}$ and $b = 3\cdot 10^x$ , then: