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3 years ago

What is the equation for this trig function?

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

A. y = cos x

Step-by-step explanation:

The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.

Step-by-step explanation:

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Find three positive consecutive integers such that the product of the second integer and the third integer is 72

Anastaziya [24]

Let
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> I solve the quadratic equation
see the attached figure

the roots are
x1=-10
x2=7

the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0

3 years ago

Read 2 more answers

The denominator of a fraction in simplest form is greater than the numerator by 3. If 7 is added to the numerator, and 5 added

jok3333 [9.3K]

So.. if we take the numerator to be say "a", then the denominator will be "a+3"

$\bf \cfrac{a}{a+3}\textit{ if we add }\frac{1}{2}\textit{ we get then }\cfrac{a+7}{a+3+5}
\\\\\\
thus\implies \cfrac{a}{a+3}+\cfrac{1}{2}=\cfrac{a+7}{a+8}\\\\
-----------------------------\\\\
\cfrac{a+3+2a}{2(a+3)}=\cfrac{a+7}{a+8}\implies \cfrac{3a+3}{2a+6}=\cfrac{a+7}{a+8}
\\\\\\
3a^2+24a+3a+24=2a^2+14a+6a+42
\\\\\\
a^2+7a-18=0\implies (a+9)(a-2)=0
\\\\\\
a=
\begin{cases}
2\implies &\frac{2}{5}\\\\
-9\implies &\frac{3}{2}
\end{cases}$

either of those two fractions will do

4 0

3 years ago

Hello how are you? Tell me in an answer for 100 points

PIT_PIT [208]

Answer:

Hiiiii

I'm okay, how about you?

thanks for the free points! :)

6 0

3 years ago

Read 2 more answers

Please help!

IgorC [24]

Answer:

(1,-4) is in quadrant IV.

Step-by-step explanation:

3 0

3 years ago

For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).

Goryan [66]

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

$f(x) = 2x+1$

And the other Linear function is the function g(x):

$g(x) = x+14$

In order to find $(gof)(x)$ , you need to follow these steps shown below:

Step 1:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

$(gof)(x) = (2x+1)+14$

Step 2:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that $(gof)(x)$ is:

$(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15$

5 0

3 years ago