That's a quadratic, a nice parabola in vertex form.
The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.
Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.
Answer:
d and e
Step-by-step explanation:
To factor 4x² + 17x - 15
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × - 15 = - 60 and sum = + 17
The factors are + 20 and - 3
Use these factors to split the middle term
4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )
= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )
= (x + 5)(4x - 3) → d/e
Answer:
0.8646
Step-by-step explanation:
The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.
0.864595 rounds to 0.8646
