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levacccp [35]
3 years ago
11

HELP ME!! im so stumped. will give brainliest!

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

x=1+\sqrt{3} and x=1-\sqrt{3}

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

y=a\left(x-h\right)^2+k

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

y=a\left(x-1\right)^2-9...(i)

Plug given point (0, -6). into (i)

-6=a\left(0-1\right)^2-9

-6=a\left(-1\right)^2-9

-6=a\left(1\right)-9

-6+9=a

3=a

Plug a=3 into (i)

y=3\left(x-1\right)^2-9

Now to find x-intercept, we just plug y=0 and solve for x

y=3\left(x-1\right)^2-9

0=3\left(x-1\right)^2-9

9=3\left(x-1\right)^2

3=\left(x-1\right)^2

\pm \sqrt{3}=x-1

1+\pm \sqrt{3}=x

Hence final answer are

x=1+\sqrt{3} and x=1-\sqrt{3}

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1/10th?

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3 years ago
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kirza4 [7]
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7 0
2 years ago
WILL GIVE BRAINLIEST
levacccp [35]

Answer:

a.  5^{2} x^{3}

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Step-by-step explanation:

a.  5^{2} x^{3}

b. 8^{3}

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5 0
2 years ago
The price of an item yesterday was $60. Today, the price fell to $42. Find the percentage decrease.
oksian1 [2.3K]

Answer:

-30% or 30% decrease

Step-by-step explanation:

What's percentage decrease?

  • Percent decrease is the difference between the initial value and new value, indicating a loss of value.
  • The formula to find percent decrease is \frac{NV-IV}{IV} * 100, where NV = new value and IV = initial value.

How do we solve this problem?

  • We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
  • Now, we plug in the values!
  • \frac{42-60}{60} * 100
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Therefore, the answer is 30% decrease.

6 0
2 years ago
the 41st term of the arithmetic sequence is -539 and the 54th term is -708. Find the value of the 80th term
yulyashka [42]

Answer:

a _{n} = a _{1} + (n - 1)d \\ a _{41} =  - 534 \\ a _{54} =  - 708 \\  a _{41} =  a _{1} + (41 - 1)d = - 534  \\  a _{1} + 40d = - 534 \:  \: ...(1)\\ a _{54} =  a _{1} + (54 - 1)d =- 708 \\ a _{1} + 53d = - 708 \:  \: ...(2)

Try to solve the similtanious equation to find the first term and the common difference, then use that information to figure out the 80th term... Update me if you need further help ...

7 0
3 years ago
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