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soldi70 [24.7K]
3 years ago
15

One x-intercept for a parabola is at the point (1,0). Use the factor method to find the other x-intercept for the parabola defin

ed by this equation: y=-5x^2+15x-10
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

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A notary receives $ 3500 for elaborating a title property and $2000 for the constitutive act of an enterprise. In a month did a
Andrew [12]

Answer:

6 titles and 16 acts were elaborated

Step-by-step explanation:

Let the number of titles be t and the number of acts be a

Since the total is 22 operations:

a + t = 22 •••••••(i)

Total amount from titles = 3500 * t = 3500t

Total amount from acts = 2000 * a = 2000a

2000a + 3500t = 53,000 ••••••(ii)

From i, a = 22-t

Insert this in ii

2000(22-t) + 3500t = 53,000

44,000 - 2000t + 3500t = 53,000

1,500t = 53000-44000

1500t = 9000

t = 9000/1500

t = 6

But a = 22 -

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5 0
3 years ago
I don't know the transformation
NeX [460]
The original was expanded...
3 0
3 years ago
5. Write each comparison as a rate.
stepan [7]

Answer:

5, 0.55, 2.00, 3 cm.

Step-by-step explanation:

If you're asking about the unit rates, then..

a. For 1 day, there is 5 mm of rain. 15 / 3 = 5

b. One chocolate bar costs $0.55. 2.20 / 4 = $0.55

c. $14.00 / 7 = 2.00 Indu saves $2.00 for one day.

d. 12 / 4 = 3 cm. For one month, philip grew 3 cm.

I hope this helped :)

4 0
3 years ago
A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?
hoa [83]
Only the second one
when diameter is 4 r=2
so 2pi*2=2²*pi the first is circumference the second area
7 0
3 years ago
Help me please!
olga nikolaevna [1]

Answer:

B

Step-by-step explanation:

Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are

A) 64 - 72.25

B) 72.25 - 81.

74 falls between 72.25 - 81. So it'll be B

3 0
3 years ago
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