When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Which equation represents
2 answers:
Answer:
The equation that represents this situation is given by:
Step-by-step explanation:
Let " x " be any number.
Square of this number is: x²
and the product of 6 and square of a number is given by: 6x²
Now if this quantity is increased by 5 times the number; then the result is 4.
( 5 times the number x is given by: 5x )
This means that the expression could be given by:
On subtracting both side of the equality by 4 we obtain the equation as:
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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: