Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
The main formula is arc RT = r x measure <span>RST
so </span>∠RST=<span>minor arc RT / r
</span>minor arc RT = 23<span>π
r= 3 cm
</span>∠RST= 23<span>π/3</span>
THINK IT IS 120 BECAUSE 4x30=120 so
the last part a water tank holds 5 gallons of water is not needed
Because these are consecutive integers and not consecutive even or consecutive odd, we use n + n + 1, which simplifies into 2n + 1, which means that you should use Option D.
Now, we solve:
2n = 106
n = 53
Because 53 + 1 is 54, we know the that the integers are 53 and 54.
Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function , you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
Then, the denominator is zero when
Therefore, does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
You can observe that a linear function is obtained.
This function is equal to zero when , therefore the zero of the function is at (-7,0).