4x - 2y = 14
y = 0.5x -1
Get just one variable on one side for both equations.
4x - 2y = 14 ⇒ 4x = 2y + 14 ⇒ 4x - 14 = 2y
y = 0.5x - 1 ⇒ x - 2 = 2y
Use the transitive property and then solve for x.
x-2 = 4x-14
12 = 3x
x = 4
<em>Edit: Apprently I didn't use substitution. Oops! Sorry...</em>
Answer:
-663
Step-by-step explanation:
The nth term of an arithmetic sequence is:
aₙ = a₁ + d (n − 1)
The first term is -14, and the common difference is -11. So the nth term is:
aₙ = -14 + (-11) (n − 1)
So the 60th term is:
a₆₀ = -14 + (-11) (60 − 1)
a₆₀ = -663
Answer:
x = 10
Step-by-step explanation:
If S is between R and T, then RS + ST will be equal to RT.
See image.
Use this idea to write an equation.
2x + 3 + 4x = 63
Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.
Only hole of function is at <em>x=(-4)</em>
Step-by-step explanation:
Given the function is
In order to find holes of any function, you should find when function is becoming undefined or say " infinity"
Given function is polynomial function.
It will become undefined become denominator become zero
Solving for x value when denominator become zero
we get possible holes at x=(-4) and x=(-5)
Check whether you can eliminate any holes
Now, Solving for x value when numerator become zero
x=(-5) and x=(-2)
x=(-5) is common is both numerator and denominator.
So that, we can eliminate it.
Therefore, Only hole of function is at x=(-4)
Answer:
226.9 in²
Step-by-step explanation:
The formula for circumference of a circle is:
C = 2πr, where π = 3.14 and r = the radius
The formula for area of a circle is
A = πr²
First, using the formula for circumference, you can solve for 'r':
53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5
Now, use the value of 'r' to solve for area:
A = π8.5² or 3.14(8.5)² = 226.9 in²