What is the difference between 4X and X for evaluate both of these Expressions when x equal 2

Can someone help me find this

PSYCHO15rus [73]

Step-by-step explanation:

In triangle,

 XYZ PYZ

XZ = PZ = 12cm

XY = PY = 5cm

YZ = YZ (Common side)

Hence,

As three sides of the two triangles are equal so,

Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition 

7 0

2 years ago

Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.

Romashka [77]

By definition, the average change of rate is given by:
$AVR = \frac{f(x2)-f(x1)}{x2-x1}$
We will calculate AVR for each of the functions.
We have then:

f(x) = x^2 + 3x interval: [-2, 3]:
$f(-2) = x^2 + 3x = (-2)^2 + 3(-2) = 4 - 6 = -2

f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18$
$AVR = \frac{-2-18}{-2-3}$
$AVR = \frac{-20}{-5}$
$AVR = 4$

f(x) = 3x - 8 interval: [4, 5]:
$f(4) = 3(4) - 8 = 12 - 8 = 4 f(5) = 3(5) - 8 = 15 - 8 = 7$
$AVR = \frac{7-4}{5-4}$
$AVR = \frac{3}{1}$
$AVR = 3$

f(x) = x^2 - 2x interval: [-3, 4]
$f(-3) = (-3)^2 - 2(-3) = 9 + 6 = 15

f(4) = (4)^2 - 2(4) = 16 - 8 = 8$
$AVR = \frac{8-15}{4+3}$
$AVR = \frac{-7}{7}$
$AVR = -1$

f(x) = x^2 - 5 interval: [-1, 1]
$f(-1) = (-1)^2 - 5 = 1 - 5 = -4

f(1) = (1)^2 - 5 = 1 - 5 = -4$
$AVR = \frac{-4+4}{1+1}$
$AVR = \frac{0}{2}$
$AVR = 0$

Answer:
these functions from the greatest to the least value based on the average rate of change are:
f(x) = x^2 + 3x
f(x) = 3x - 8
f(x) = x^2 - 5
f(x) = x^2 - 2x

5 0

3 years ago

Factor 6x^2 -42x-54 Please show work

11111nata11111 [884]

Notice that 6 is a factor of all three coefficients and thus can be factored out:

6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:

a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.

Thus, the roots are:

7 plus or minus √85 7 plus or minus 9.220

x = -------------------------------- = ------------------------------------

2 2

Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).

The original quadratic has three factors: 6, (x-8.11) and (x+1.11).

7 0

3 years ago

If you borrow $1425 for 9 years at an interest rate of 4%, how much interest will you pay?

lilavasa [31]

Answer:

You would pay $242 in total interest over the life of this loan.

Step-by-step explanation:

3 0

1 year ago

How can you tell whether two graph functions represent inverse functions or not?

Juliette [100K]

Answer:

If is not one to one is not inverse (no inverse)

Step-by-step explanation:

5 0

2 years ago