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3 years ago

Question 4 of 10

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

8 0

The graph shown is decreasing.

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Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?. A.1/(cscx + sinx). B

Alex73 [517]

We are given with the function (sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (sinx)(1-sin x )/(1 + sinx)(1-sin x). Then we convert the expression into (sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.

5 0

3 years ago

Read 2 more answers

F(x)=12x2-4x-8. G(x)=11x-6

AlekseyPX

Answer: Second option.

Step-by-step explanation:

Given the functions f(x) and g(x):

$f(x)=12x^2-4x-8\\\\g(x)=11x-6$

You need to divide them in order to find $(\frac{f}{g})(x)$ asked in the exercise. Then:

$(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}$

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.

Let's find the value of "x" for which the denominator of the function would be zero:

1. You need to make the denominator equal to zero:

$11x-6=0$

2. Finally, you must solve for "x":

$11x=6\\\\x=\frac{6}{11}$

Therefore, as you can see, the answer is:

$(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}$ , $x=\frac{6}{11}$

4 0

3 years ago

The ratio of girls to boys in a lunchroom is 3 to 4. There are 48 boys. How many girls are there?

BabaBlast [244]

Answer:

there are 36 girls

Step-by-step explanation:

ratio is 3 to 4

3 0

3 years ago

What is the radius of the circle given by the equation (x-2)^2+y^2=14

Rainbow [258]

The general equation of a circle is
(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2
for this case the values of a and b are
a = 2
b = 0
The radius of the circle is
r ^ 2 = 14
r = (14) ^ (1/2) = 3.74

8 0

3 years ago

A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to

nignag [31]

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height $h=6\ ft$