Answer:
x=1 and y=7
Step-by-step explanation:
7x−2y=−7;y=7
Rewrite equations:
y=7;7x−2y=−7
Step: Solve y = 7 for y:
y=7
Steps: Substitute 7 for y in 7x−2y=−7:
7x−2y=−7
7x+(−2)(7)=−7
7x−14=−7 (Simplify both sides of the equation)
7x−14+14=−7+14 (Add 14 to both sides)
7x=7
7x/7 = 7/7 (Divide both sides by 7)
x = 1
So the answer is, x=1 and y=7
Answer:
+3
Step-by-step explanation:
Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.
Answer:
Step-by-step explanation:
Given
Required
The area
This is calculated as:
So, we have:
Using a calculator, we have:
Remove bracket
Answer:
x = (k-c)/8
Step-by-step explanation:
8x+c= k
Subtract c from each side
8x+c-c= k-c
8x = k-c
Divide each side by 8
8x/8 = (k-c)/8
x = (k-c)/8
Answer:
542
Step-by-step explanation:
-3, 2, 7, 12
-3 + x = 2 x = 5
2 + x = 7 x = 5
7 + x = 12 x = 5
If you want to find the 3rd term in the sequence and you start with the first number, then you do this:
-3 + (2 * 5) = -3 + (10) = 7
The same goes for the 110th term:
-3 + (109 * 5) = -3 + (545) = 542
The formula to find the nth term is:
f(n) = n(0) + (n-1) * 5
Suppose n(0) = -3 then
f(110) = -3 + {(110-1) * 5}
f(110) = -3 + {<u>(109) * 5</u>}
f(110) = -3 + (545) = 542
You can simplyfy f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (5n-5)
f(n) = n(0) + 5n - 5
f(110) = -3 + (5 * 110) - 5
f(110) = -3 -5 + (550)
f(110) = - 8 + 550
f(110) = 542