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murzikaleks [220]
3 years ago
5

How can help me with this operation about Pre-Calculus.Simplify

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

If we want to compute f(2+h), we have to substitute every occurrence of x with 2+h in the definition of the function:

f(x)=x^2-11x \implies f(2+h) = (2+h)^2-11(2+h) = 4+4h+h^2-22-11h = h^2-7h-18

Similarly, computing f(2) means to substitute the input with 2:

f(x)=x^2-11x \implies f(2) = 2^2-11\cdot 2 = 4-22 = -18

So, we have

f(2+h) - f(2) = h^2-7h-18 - (-18) = h^2-7h

And finally

\dfrac{f(2+h)-f(2)}{h} = \dfrac{h^2-7h}{h} = h-7

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Find the volume of this object.
Tems11 [23]

Answer:

408 cm^3

Step-by-step explanation:

You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3

7 0
1 year ago
A salesperson earns a commission of $252 for selling $2100 in merchandise.
shutvik [7]

Answer:

The commission rate is of 12%.

Step-by-step explanation:

Commission rate:

The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.

In this question:

$252 in commission for selling $2100 in merchandise. So

252*100%/2100 = 12%

The commission rate is of 12%.

8 0
2 years ago
The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term
Darina [25.2K]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}


now, let's expand the squared term to get the standard form of the quadratic.


\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}

4 0
3 years ago
Read 2 more answers
Can someone help me plz and thank u
alexandr402 [8]

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

3 0
2 years ago
Factor the GCF: −12x4y − 9x3y2 + 3x2y3 (5 points)
garri49 [273]
-12x4y - 9x3y^2 + 3x^2y^3 = 3xy(-16 -9y + xy^2)
8 0
2 years ago
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