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Usimov [2.4K]
3 years ago
15

For f(x)=3x+1 and g(x)= x2-6, find (f/g)(x)

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

(3x+1)/(x^2-6)

Step-by-step explanation:

f/g(x)=f(x)/g(x)=(3x+1)/(x^2-6)

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Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)
Mkey [24]

Answer:

\large\boxed{y=0.6x-3.2}

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have

y=0.6x+3

Parallel lines have the same slope. Therefore we have the equation:

y=0.6x+b

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

-5=0.6(-3)+b

-5=-1.8+b            <em>add 1.8 to both sides</em>

-3.2=b

Finally we have:

y=0.6x-3.2

8 0
3 years ago
Eliza is a chef at a restaurant. she is making spaghetti sauce and put 21 tomatoes and 6 onions in the pot. what is the ratio of
seraphim [82]
These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.

ratio of tomatoes to onions = 21:6 which reduces to 7:2...because there is 21 tomatoes and 6 onions. (21/6 reduces to 7/2...ratios written as fractions)

However, if it would have asked the ratio of onions to tomatoes, it would have been 6:21....which reduces to 2:7....so pay attention to the wording on problems such as these

so ur answer is 7:2

6 0
3 years ago
The diagram shows a circle inside a square.<br> a O<br> 16 cm<br> Work out the area of the circle.
LuckyWell [14K]

Answer:

perimeter of circle=2πr

16=2πr

r=16/2π=8/πcm

now.

area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²

4 0
3 years ago
Evaluate log1∕6 36. please help
Sholpan [36]

\log_{\tfrac 16}   36 \\\\\\=\dfrac{\ln 36}{ \ln \left(\tfrac 16\right)}\\\\\\=\dfrac{ \ln 6^2}{\ln (6^{-1})}\\\\\\=\dfrac{2 \ln 6}{-1 \ln 6}\\\\= - 2

4 0
3 years ago
Which property of polynomial addition says that the sum of two polynomials
ArbitrLikvidat [17]

Answer:

The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.

Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.

In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.

7 0
3 years ago
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