Answer:
There is a mistake in Step 2. Maya distributed 3(x-10) as 3x+30, which is false. The correct step is: 6x+12 = 3x-30
Then solve for x
The answer is B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x-10).
The standard form is 5x-6y=16
Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
Answer:
Step-by-step explanation:
First, lets simplify everything in the parenthesis.
(3×10^2 )×(2×10^−4 )=
In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.
(3 • 100) • (2 • 1/10^4)
Now, we can just multiply everything from left to right to get:
6*10^-2
Or
.06
Ans: Option A
Explanation:
Let's solve it smartly!
Given expression:

--- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>

--- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7