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Sergeu [11.5K]
3 years ago
5

Please help!posted picture of question

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
( \frac{f}{g})(x) means the ratio of f(x) with g(x) i.e. function f(x) divided by the function g(x).

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

The correct option is B.
The restriction of the domain is made so that the denominator is never zero and the expression is never undefined. In case of such questions, domain must be taken into account. 

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The crayola crayon company can make 2400 crayons in 4 minutes.How many crayons can they make in 15 minuttes
scZoUnD [109]

<span><span>4 x n = 2400 x 15Find the cross products</span>
<span>4n = 36000Multiply</span>
<span>n = 9000Divide both sides by 4</span></span>

<span>The Crayola crayon company can make 9000 crayons in 15 minutes.</span>

<span>hope this helps :)</span>

6 0
3 years ago
Pls help for 27b!!!!!!!
rodikova [14]

Step-by-step explanation:

\beta

is a root of the quadratic

4 {x}^{2}  - 10x + 5

This quadratic isn't factorable so use the quadratic formula

- b +  -  \sqrt{ \frac{b {}^{2}  - 4ac }{2a} }

The plus and minus sign after b means we going to have two roots.

The roots are

\frac{5 +  \sqrt{5} }{4}

and

\frac{5 -  \sqrt{5} }{4}

We subsitue those values for Beta.

27a.

\frac{5}{2}

27b.

25

6 0
3 years ago
Find the distance between the points ( – 9, – 4) and ( – 4,8).
Dmitriy789 [7]

Answer:

Distance=13\ units

Step-by-step explanation:

<u><em>Distance between two points:</em></u> Distance between two pints (x_1,y_1)\ and\ (x_2,y_2) is given by

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between (-9,-4)\ and\ (-4,8).

d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13

6 0
3 years ago
A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest
Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

3 0
4 years ago
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