The table represent the function f(x) if g(x) =4x -8 which statement is true see picture you inadvance

The true statement is answer A

The y-intercept of g(x) is less than the y-intercept of f(x)

Step-by-step explanation:

* Lets explain the meaning of x-intercept and y-intercept

# x-intercept means the line cross the x-axis at which point

∵ Any point lies on the x-axis has x-coordinate but its y-coordinate

 is zero

∴ To find the x- intercept in any function you must to chose the

   value of x when y = 0

* Similar

# y-intercept means the line cross the y-axis at which point

∵ Any point lies on the y-axis has y-coordinate but its x-coordinate

 is zero

∴ To find the y- intercept in any function you must to chose the

   value of y when x = 0

* Now lets solve the problem

- Find the x-intercept and the y- intercept for f(x) and g(x)

# In f(x)

- From the table there is a point (0 , -4)

∵ x = 0

∴ The y-intercept of f(x) = -4

- From the table there is a point (16 , 0)

∵ y = 0

∴ The x-intercept of f(x) = 16

# In g(x)

- From the equation g(x) = 4√x - 8

- To find the y-intercept put x = 0

∵ g(x) = 4√x - 8 and x = 0

∴ g(x) = 4√0 - 8 = -8

∴ The y-intercept of g(x) = -8

- To find the x-intercept put y = 0

∵ g(x) = 4√x - 8 and y = 0 ⇒ g(x) = 0

∴ 0 = 4√x - 8 ⇒ add 8 for both sides

∴ 8 = 4√x ⇒ divide both sides by 4

∴ 2 = √x ⇒ square the two sides

∴ (2)² = (√x)²

∴ 4 = x

∴ The x-intercept of g(x) = 4

- From the answers above

∵ y-intercept of f(x) = -4

∵ y-intercept of g(x) = -8

∵ -8 is less than -4

∴ The y-intercept of g(x) is less than the y-intercept of f(x)

* The true statement is answer A

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!