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muminat
3 years ago
13

Use the graphs of f and g to solve Exercises 87, 88, and 89.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

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Solve sec2theta + tantheta - 3 =0 for 0
Serhud [2]

Answer:

Ф = \frac{\pi }{4} ,\frac{5\pi}{4}

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

  • First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
  • Then we can combine like terms
  • Then we can factor this as a polynomial function
  • Then we can set each term equal to zero and solve for Ф
  • The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
  • The second term tan(Ф) - 1 = 0 has two solutions of \frac{\pi}{4} and \frac{5\pi}{4} so these are the solutions to the problem

7 0
3 years ago
I need help quick!Please help me!
mina [271]

Oh shucks, that's crazy man

6 0
3 years ago
What is 9x-7y=-7 in slope intercept form?
Novay_Z [31]
Slope intercept form is y = mx + b

So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
       9x - 7y =      -7
       -9x          -9x

Now you have -7y = -9x -7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y.  In this case divide every term by -7
    -<u>7y</u> =  <u>-9x</u>  <u>-7</u>
      -7      -7   -7

That leaves you with: y = 9x/7 + 1


4 0
3 years ago
The Sullivan household wants build a patio deck in the shape of a 45-45-90 triangle in a nice corner section of their backyard .
dedylja [7]

Answer:

20√2=28.2842....

Step-by-step explanation:

special right traingles

a 45-45-90 states that the legs are congruent and the hypotenuse is leg√2

4 0
3 years ago
Find the value of X?
daser333 [38]
Because we know the midpoint is in the middle, we know that both sides are equal.
So set both = to each other
4x - 1 = 3x + 3

add 1 to both sides

4x=3x+4

then subtract 3x from both sides and because there is always a 1 in front of x the answer would be

x=4
3 0
3 years ago
Read 2 more answers
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