For this case we have to:
x: Represents the unknown number
y: Represents the exponent of base 10
So, considering a system of equations we have:
From the first equation we have:
Substituting in the second equation:
We choose the positive value:
So, the number is 0.4.
So:
Thus, the exponent is 5.
Answer:
Yara use 0.4 and
Answer:
Step-by-step explanation:
Right/left by 3 units because in the equation, it added 3. Right because it is positive and Right/Left because this represents the change in the x-axis.
Up/Down by 5 units because in the equation, it added 5. Up because it is positive and Up/Down because this represnts the change in the y-axis.
Answer:
y = -5/4x - 4
Step-by-step explanation:
Plug in 6 for y and -8 for x. Then solve for b or "y-intercept". You should get -4
Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
