Estimate the quotient 57.8 ÷81
1 answer:
You might be interested in
Answer:
Four less than an unknown value E)
Quotient of a variable and four B)
Some number to the power of four A)
Four times an unknown value D)
Four more than some number C)
Step-by-step explanation:
Let's analyze each statement separately:
- Four less than an unknown value --> this means that we have to subtract 4 to an unknown value. Calling the unknown value, it means we have to write
- Quotient of a variable and four --> this means we have to divide a variable by 4. Calling the unknown variabl, it means we have to write
- Some number to the power of four --> this means that we have to write the power of a number, in the form , where m in this case is equal to 4. Calling
the unknown number, it means we have to write
- Four times an unknown value --> this means that we have to multiply an unknown value by 4. Calling our unknown values, we have to write
- Four more than some number --> this means we have to add 4 to an unknown number. Calling the unknown number, it means we have to write
Substitute this into the parabolic equation,
We're told the line intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So ; in set notation,