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2 years ago

Write the function in standard form f(x) = -4 (x - 6)^2 + 15

Mathematics

2 answers:

amid [387]2 years ago

7 0

9514 1404 393

Answer:

f(x) = -4x^2 +48x -129

Step-by-step explanation:

It usually works well to compute the square first. That is, simplify according to the order of operations.

f(x) = -4(x^2 -12x +36) +15

f(x) = -4x^2 +48x -144 +15

f(x) = -4x^2 +48x -129

Alchen [17]2 years ago

5 0

Answer:

f(x) = -4x² + 48x - 129

Step-by-step explanation:

Given the quadratic function in vertex form, f(x) = -4(x - 6)² + 15:

In order to transform the given function into its standard form, f(x) = ax² + bx + c, expand the squared binomial (without distributing -4 and adding 15).

f(x) = -4(x - 6)² + 15

f(x) = -4(x² - 6x - 6x + 36) + 15

Combine like terms:

f(x) = -4(x² -12x + 36) + 15

Distribute -4 into the parenthesis:

f(x) = -4x² + 48x - 144 + 15

Combine the constants:

f(x) = -4x² + 48x - 129 ⇒ This is the quadratic function in standard form where a = -4, b = 48, and c = -129.

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What’s the cosine of

Vsevolod [243]

Answer:

√23/√45 or √23/3√5

Step-by-step explanation:

Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.

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2 years ago

A commercial package contains thirty-six 200-mg tablets of ibuprofen. How many kilograms of ibuprofen were

PIT_PIT [208]

Answer: 0.0072 kilogram

Step-by-step explanation:

Given : The mass of one tablet of ibuprofen =200 mg

Then, the mass of 36 tablets of ibuprofen = $36\times200$ mg

i.e. the mass of 36 tablets of ibuprofen = $7200$ mg

We know that 1 kilogram = 1000 grams

and 1 gram = 1000 milligram

Then, 1 kilogram = $1000,000$ milligrams

Then, $\text{1 mg}=\dfrac{1}{1000,000}\text{ kg}$

Now, $\text{7200 mg}=\dfrac{7200}{1000,000}=0.0072\text{ kg}$

Hence, A commercial package contains 0.0072 kilogram of ibuprofen.

3 0

2 years ago

Want to check if I got the correct answer, thank you

SOVA2 [1]

To find:

The division of the polynomial.

Solution:

The division in given in the image below:

Thus, the result is:

$x^3+3x^2-1x-5-\frac{11}{x+3}$

Option D is correct.

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7 months ago

Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a downward sloped line crossing the y

vesna_86 [32]

For the limit approaching 3 from the right, you want to follow the line to the right of x = 3. From the graph you're describing it sounds like that's y = -3. $\lim_{x \to 3} f(x)=-3$

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3 years ago

WILL MARK BRAINLIEST A stamp collector bought 7 rare stamps for her collection. Each stamp cost $1,953. How much did the collect

IceJOKER [234]

Answer:

$13,671

Step-by-step explanation:

Each stamp cost $1,953, and the collector bought 7 of them.

1953 * 7 = 13671

The collector spent $13,671 on the stamps.

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3 years ago