Please help! 7|-7x-3|=21
1 answer:
Divide by 7.
... |-7x -3| = 3
Unfold to two equations.
... -3 = -7x -3 . . . . . the content of the absolute value is negative
... 0 = -7x . . . . . . . . add 3
... 0 = x . . . . . . . . . . divide by -7
and
... 3 = -7x -3 . . . . . . the content of the absolute value is positive
... 6 = -7x . . . . . . . . add 3
... -6/7 = x . . . . . . . . divide by -7
The solutions are ...
... x = -6/7 or x = 0
_____
Many graphing programs will happily tell you the locations of x- and y-intercepts, so it is convenient to rewrite the equation so its value is zero at the solution points. We can do that by subtracting the right side constant to get ...
... 7|-7x -3| -21 = 0
You might be interested in
Answer:
y = - x
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table
m = =
=
= -
the ordered pair (0, 0 ) indicates the line crosses through the origin, then
c = 0
y = - x + 0 , that is
y = - x ← equation of linear function
Answer:
Step-by-step explanation:
Let
x ----> the number
we know that
The phrase " the phrase: the difference of a number and 9" is equal to
subtract the number 9 from the number x
(x-9)
The phrase" no more than 95" means "less than or equal to 95" (≤95)
so
The inequality that represent this situation is