Christopher walks 15 miles in 5 hours . At this rate , how many miles does he walk in 10 hours
2 answers:
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Answer:
which is none of the choices provided.
Are you sure the question is right or even the choices?
You can even write it as:
but this is still not a choice.
Step-by-step explanation:
The vertex form of a quadratic is .
This is called vertex form because it gives you the vertex is .
We are given that which makes our equation:
.
We can find the value of by plugging in the x-intercept (7,0) for
into:
Subtract 25 on both sides:
Divide both sides by 25:
.
So the equation for the quadratic is:
Let's put this into factored form since all the choices are in factored form.
This will require us to multiply the (x-2)(x-2) out:
Factor out -1:
WE need to find two numbers that multiply to be -21 and add to be -4:
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
