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2 years ago

What is the axis of symmetry of the function f(x)=(x+5)(x-3)

Mathematics

1 answer:

podryga [215]2 years ago

4 0

The axis of symmetry is X= -0.9999995

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Can someone help me please

alekssr [168]

Use the formula x+x+1+x+2 or 3x+3=170 to find x. x is the first number. Then add x+1 to find the second number. Then add x+2 to find the third final number.
x will equal 167/3 which is a decimal, so just plug it in to the 3 equations I mentioned above to find your 3 consecutive numbers. More questions? Just ask me!

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2 years ago

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A small box of raspberries costs $2 A large box of raspberries costs $6 .Use this information to complete the sentence The larg

Umnica [9.8K]

Three since 3 x 2 = 6.

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Find the slope and y intercept of y= -3x - 2

sergejj [24]

Answer:

slope = -3

y-intercept = -2

Step-by-step explanation:

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2 years ago

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xia has 16 meters of rope. She cuts off 1/6 of the rope to use as a skipping rope for a party activity. how long is xias skippin

katrin2010 [14]

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The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

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1 year ago