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1 year ago

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Mathematics

1 answer:

Sergio [31]1 year ago

8 0

Answer:

The vertex is (5, -9).

Step-by-step explanation:

One way of approaching this problem consists of finding the roots. Seet the quadratic equal to zero and solve for x: {2, 8}.

The axis of symmetry is exactly halfway between 2 and 8: x = 5.

Now find the y-component of the vertex by evaluating f(5):

f(5) = (5 - 8)(5 - 2) = -9

The vertex is (5, -9). This is the minimum value of the function. The graph of this quadratic opens up.

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Answer:

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Step-by-step explanation:

Using the sum/ difference → product formula

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(cosA - cosB)² + (sinA - sinB )²

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3 years ago

What is the answer to 5x-10

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3 years ago

Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

or, 0.00005919 = $\frac{R}{36500}$

∴ R = 0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6 Answer

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