Answer:
No
Step-by-step explanation:
For x and y to have a proportional relationship, then
the ratio of k =
must be equal for all points
(2, 5) → k =
= 2.5
(3, 7.5) → k =
= 2.5
(5, 12.5) → k =
= 2.5
(18, 8) → k =
= 2.25 ≠ 2.5
k is not equal for all values , hence no proportional relationship exists
I think the incorrect data is the second x to the left.
The answer is the first option: it has the same domain as the function f(x) = - √(-x).
The domain is the set of x-values for which the function is defined.
The square root function is defined only for zero and positve values.
- x is positive when x negative.
So the domain for - √(-x) and √(-x) are the same: x less than or equal to zero.
Answer:
25
Step-by-step explanation:
350/14=25
Natalie will fill 25 boxes with pencils.
5x + 6y = 7 SUBSTITUTION METHOD
2x + 2y = 4
5x + 6y = 7 Solve for either x or y in 1 of the 2 equations.
- 6y - 6y
-----------------------
5x = -6y + 7
----- ------ ----
5 5 5
x = -6/5y + 7/5
2(-6/5y + 7/5) + 2y = 4 Substitute the expression you got for x or y into
-12/5y + 14/5 + 2y = 4 the other equation.
-2/5y + 14/5 = 4
- 14/5 - 14/5
------------------------------
-2/5y = 6/5
-------- --------
- 2/5y - 2/5y
y = -3
5x + 6(-3) = 7 Plug in the value you got for y in step 2 into the
5x - 18 = 7 equation that you didn't use.
+ 18 + 18
------------------
5x = 25
--- -----
5 5
x = 5
(x,y) ⇒ coordinate
(5,-3) ⇒ final answer