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mina [271]
3 years ago
12

Given f(x) = 4x^2 + 19x - 5 and g(x) = 4x^2 - x what is (f/g)(x)?

Mathematics
2 answers:
DanielleElmas [232]3 years ago
8 0

Answer:

Just took the test and the answer x+5/x where x does not equal 0,1/4, good luck.

Free_Kalibri [48]3 years ago
3 0

( \frac{f}{g} )(x) =  \frac{4 {x}^{2}  + 19x - 5}{4 {x}^{2}  - x}  =  \frac{(4x - 1)(x + 5)}{x(4x - 1)}  =  \frac{x + 5}{x}

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4sin^2 + 13cos^2 = 7. Find cos <br><br> Please read the picture question carefully and help !!
Vanyuwa [196]
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!
5 0
3 years ago
Give me a correct answer, My answer probably wrong.
Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. dy with the y term and dx with the x term).

\frac{dy}{dx}=\frac{x-1}{3y^2}

3y^2dy=x-1dx

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

y^3=\frac{1}{2}x^2-x+C

Then here, we just solve for y and we have our general solution.

y=\sqrt[3]{\frac{1}{2}x^2-x+C}

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

3 0
2 years ago
Find the least common multiple of 18, 24 *
emmainna [20.7K]

Answer:

72

Step-by-step explanation:

Find the prime factorization of 18

18 = 2 × 3 × 3

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3

LCM = 72

i hope this helps :)

7 0
3 years ago
Read 2 more answers
In which of the following graphs is there evidence of correlation AND causation?
atroni [7]
Correlation between Ice cream sales and sunglasses sold Causation takes a step further than correlation
7 0
3 years ago
Please help me ASAP!
baherus [9]

Answer:

I think it is 15

Step-by-step explanation:

3 0
3 years ago
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