Answer:
8
Step-by-step explanation:
Like term is having the same variables and powers
each bolded below has the variable z other than 8 (second one)
8z, 8, 4z, -8z
Answer:
ur smart u got this
Step-by-step explanation:
keep trying and ask ur teacher for help
The answer is y = 3/4 x + 2
<em>Explanation:</em>
Basically, the formula for a linear equation is y = mx + b
b = y-intercept
mx = slope
slope = rise/ run (pos.)
it can also be fall/ crawl (neg.)
In the graph the line meets at the y-int. at 2, the line rises 3 and goes right 4 each time.
Part A:
x=5
4x-1 ≤19
4(5)-1 ≤19
20-1 ≤19
19 ≤19
x=5
4x-1<19
4(5)-1<19
19<19
Explanation:
In problem one the greater then symbol has a line under it, this means that the symbol now means greater then or equal to. Since 19 is equal to 19 it is correct. In problem to the greater then symbol has no line under it meaning it only means greater then. Since 19 is not greater then 19 it is false.
So basically the difference is:
≤ = greater then or equal to
< = greater then
Part B:
5x+2=47
-2 -2
5x=45
/5 /5
x=9
Explanation:
Since when you solve the equation x=9 the value 9 from the set makes the equation.
Hope this helped :)
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.