Answer:
The System of inequality is ,
1. y > 2 x + p
2. y < 2 x + p
Suppose we assign some values to p and q and draw its graph
And, then the inequality sign on both inequalities is reversed
3. y < 2 x + p
4. y > 2 x + p
And , then draw it's graph
it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality.
The system has no solution.
The answer is choice D because the expression 6x^3+x^2-3 is the same as 6x^3+1x^2+0x+(-3). Notice the coefficients are 6, 1, 0, -3
The expression x-7 is in the form x-k where k = 7. This is the test root which is placed outside of the synthetic division bar as shown in choice D.
Step-by-step explanation:
40 = 2 * 2 * 2 * 5
28 = 2* 2 * 7
So now
The GCF = 2 * 2 = 4
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
Answer:
The smallest side is 7inches
Step-by-step explanation:
Let the shorter side be y.
The medium side is 4 more than the short side i.e
Meduim side = 4 + y
The longest side is 5 times the length of the shortest side i.e
Logest side = 5y.
Perimeter of the triangle = 53 inches
But the perimeter of a triangle is the Sum of all sides i.e
P = small + medium + large
53 = y + (4+y) + 5y
53 = y + 4 + y + 5y
Collect like terms
53 — 4 = 7y
49 = 7y
Divide both side by 7
y = 49/7
y = 7inches
Therefore the smallest side is 7inches
