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Serjik [45]
2 years ago
5

Please solve these questions it's important please​

Mathematics
1 answer:
MissTica2 years ago
4 0

<h3>b)</h3>

\frac{3 {a}^{2}  - 9a}{ {a}^{2}  - 9}  =  \frac{3a(a - 3)}{(a + 3)(a - 3)}  =  \frac{3a}{a + 3}

<h3>c)</h3>

\frac{ {y}^{2} - 3yz -4  {z}^{2}  }{3 {y}^{2} - 12yz }  =  \frac{(y + z)(y - 4z)}{3y(y - 4z)}  =  \frac{y + z}{3y}

<h3>d)</h3>

\frac{ {d}^{2} + 4d  + 4}{ {d}^{2}  + 2d}  =  \frac{(d + 2)(d + 2)}{d(d + 2)}  =  \frac{d + 2}{d}

<h3>e)</h3>

\frac{5f - 15}{3 {f}^{2}  - 13f + 12}  =  \frac{5(f - 3)}{(3f - 4)(f - 3)}  =  \frac{5}{3f - 4}

I hope I helped you^_^

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Determine which function has the greatest rate of change as x approaches infinity.
Mekhanik [1.2K]

Answer: h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

3 0
3 years ago
Requie<br> 2) 20 + (-45)
harkovskaia [24]

Answer:

20 + (-45) = -25

6 0
3 years ago
Read 2 more answers
The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original
Hitman42 [59]

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is \frac{27}{31}

<u>Solution:</u>

Given that  

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is \frac{6}{7}

=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}

Solving above equation for x

=> 7(x – 3  ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}

= \frac{27}{31}

Hence the original fraction is \frac{27}{31}

7 0
3 years ago
What’s the answers ?
Usimov [2.4K]

hope this helps! feel free to clarify if unsure

6 0
3 years ago
Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent
sdas [7]
Independent is number of tickets bought. dependent is total cost.

y=60x
6 0
3 years ago
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