5x + y > = -10
y > = -5x - 10
It will be a solid line because ur problem contains an equal sign.
It will be shaded on the side that includes the origin...because when u sub in (0,0), which is the origin, ur inequality is true
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
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We need to solve for R, This is really simple.
The original expression is:
R (r1 + r2) = r1r2
To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.
In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
R = (r1r2) / (r1 + r2)
Answer:

Step-by-step explanation:
