Answer:
x + 4
Step-by-step explanation:
Noah's age = x
Jacob's age = x – 3
In seven years,
Jacob's age = x – 3 + 7
Jacob's age = x + 4
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
Answer:
x = 3
Step-by-step explanation:
10 + 2(7 - 9x) = 5(2x - 12)
10 + 14 - 18x = 10x - 60
24 - 18x = 10x - 60
+60 +60
-------------------------------------
84 - 18x = 10x
+18x +18x
-------------------------------------
84 = 28x
/28 /28
--------------------------------------
3 = x
Answer:
F
Step-by-step explanation:
There are 6 digits in the repeating pattern.
279 / 6 = 46.5 remainder 3.
we care about the remainder as this is how many digits in. it is the 3rd digit in so is 3.
Answer:
–4(x + 3) ≤ –2 – 2x
>>.....-4x -12 ≤ -2 -2x
>> -12 +2 ≤ +2x
>> - 10 ≤ 2x
>> -5 ≤ x............>> x >= -5
Step-by-step explanation:
you didn't post any number lines...