Answer:
quadrant 1
Step-by-step explanation:
both of them are positive
2(x-3)=7x-31
2x-6=7x-31
-7x -7x
----------------
-5x-6=-31
+6 +6
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-5x=-25
Divide by -5
x=5
3x-2(x+5)=-3+18
15
3x-2(x+5)=15
3x-2x-10=15
x-10=15
+10 +10
--------------
x=25
Answer:
y = 1/2 x²
Step-by-step explanation:
The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.
When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.
Our only option then is
y = 1/2 x²
Answer:
-2 and -3
Step-by-step explanation:
Let L represent the large integer and S represent the smaller integer
Given Large Integer = 10 + 4 times Smaller Integer
Mathematically:
L = 10 + 4S -------eq 1
It is also given that the integers are consecutive,
hence L = S + 1------ eq2
Now we can solve a system of equations by substitution.
Substitute eq 2 into eq 1
S + 1 = 10 + 4S (subtract 1 from both sides)
S = 10 - 1 + 4S
S = 9 + 4S (subtract 4S from both sides)
S - 4S = 9
-3S = 9 (divide both sides by -3)
S = 9 / (-3) = -3 (answer)
form equation 2,
L = S + 1
L = -3 + 1
L = -2 (answer)
