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slavikrds [6]
3 years ago
11

Which is the vertex of the graph of y=3x^2+2x+1

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%28sinx%5E%7B2%7D%20theta%29%5Cfrac%7Bx%7D%7By%7D%281%2Bcostheata%29" id="TexFormula1" title="
beks73 [17]

The result of expanding the trigonometry expression \sin^2(\theta) * (1 + \cos(\theta)) is cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

<h3>How to evaluate the expression?</h3>

The expression is given as:

\sin^2(\theta) * (1 + \cos(\theta))

Express \sin^2(\theta) as 1 - \cos^2(\theta).

So, we have:

\sin^2(\theta) * (1 + \cos(\theta)) =  (1- \cos^2(\theta)) * (1 + \cos(\theta))

Open the bracket

\sin^2(\theta) * (1 + \cos(\theta)) =  1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Express 1 as cos°(Ф)

\sin^2(\theta) * (1 + \cos(\theta)) =  cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Hence, the result of expanding the trigonometry expression \sin^2(\theta) * (1 + \cos(\theta)) is cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Read more about trigonometry expressions at:

brainly.com/question/8120556

#SPJ1

3 0
2 years ago
Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.
oksian1 [2.3K]

Answer:

\large\boxed{y=2x-5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Parallel lines have the same slope. Therefore if given line is

y=2x+2

then the slope of our line is m=2.

We have the equation:

y=2x+b

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

-7=2(-1)+b

-7=-2+b          <em>add 2 to both sides</em>

-5=b\to b=-5

Finally:

y=2x-5

6 0
3 years ago
What is hs the answer to this question?<br><br> Y= 5x+5<br> Y - x=5
ANEK [815]
Y = 5x + 5
y - x = 5

You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:

y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0

Substitute your value for x into one of the original equations to y:

y = 5x + 5
y = 5(0) + 5
y = 5

Finally, substitute both values into both original equations to check your work:

5 = 5(0) + 5    -->    5 = 5    <--True
5 - 0 = 5    -->    5 = 5    <--True

Answer:
x = 0
y = 5
3 0
3 years ago
What is the answer plz help
seropon [69]

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

6 0
3 years ago
The following stem and leaf plot shows the number of students at the local recreational center each day at 4 PM.
marishachu [46]

Answer:

A

Step-by-step explanation:

By leaf plot...

4 0
3 years ago
Read 2 more answers
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