4x - 26 = 2x - 4....subtract 2x from both sides
4x - 2x - 26 = -4...add 26 to both sides
4x - 2x = -4 + 26...combine terms
2x = 22...divide both sides by 2
x = 22/2 = 11
OR
4x - 26 = 2x - 4.....subtract 4x from both sides
-26 = 2x - 4x - 4....add 4 to both sides
-26 + 4 = 2x - 4x...combine terms
-22 = -2x....divide both sides by -2
-22/-2 = x
11 = x
Answer:
A
Step-by-step explanation:
(because -4 is equal to -4 and meets the condition of the top inequality, you plug in -4 into the top function)
![g(-4)=\sqrt[3]{(-4)+5}\\\\g(-4)=\sqrt[3]{1} =1](https://tex.z-dn.net/?f=g%28-4%29%3D%5Csqrt%5B3%5D%7B%28-4%29%2B5%7D%5C%5C%5C%5Cg%28-4%29%3D%5Csqrt%5B3%5D%7B1%7D%20%3D1)
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Answer:
that is the solution to the question
