What is the remainder when f(x) = 3x2 – 12x² + 5x - 3 is divided by (x-3)? - -

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

The answer to the problem is -12x^3-41^2+9x+21/x-3

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When attempting to do his homework, Mark incorrectly uses the addition property of equality below. Which

VikaD [51]

The correct answer is b

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3 years ago

Susie is solving the quadratic

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Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = $\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

= $\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}$

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Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

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3 years ago

X km/h = y mph

3241004551 [841]

Let's first write down the equations which we will require to solve for this problem.

Equation No. 1 -
x km/h = y mph

Equation No. 2 -
8 km/h = 5 mph

First of all, we will make y the subject by calculating the km/h when mph = 1. We will accomplish this by dividing both sides by 5 as displayed below:

Equation No. 2 -
8 km/h = 5 mph
5 mph = 8 km/h
5 / 5 mph = 8 / 5 km/h
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Through this, we have found out:

m = 8 / 5

We will use the y = mx formula in order to obtain our final equation. We will substitute the value given in the second equation into the formula.

y = mx
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3 years ago

HELP PLEASE

ohaa [14]

Answer:

Step-by-step explanation:

$\tan x=\frac{8}{15}\\x=\tan^{-1} \left(\frac{8}{15} \right) \approx \boxed{28.07^{\circ}}$