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Karolina [17]
3 years ago
13

Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0
1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O -  2 cos^2 O = 0

2 cos^2 O + 3 cos O - 1 = 0

cos O = 0.2807 , -1.78   ( -1.78 cannot be a solution)

O = 74 degrees  (from  0.2807) another solution is 360-74 =  286 degrees

Its D
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The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the
madreJ [45]

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.

The sum of the three is 103. Thus, we can write that:

a+b+c=103

The second number is five less than the first. So:

b=a-5

And the third number is four times the first. So:

c=4a

Substitute:

a+(a-5)+(4a)=103

Solve for <em>a</em>. Combine like terms:

6a-5=103

Add five to both sides:

6a=108

And divide both sides by six. Therefore:

a=18

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

6 0
3 years ago
Find the range of the function f(x) = 3x - 7 for the domain {-1, 0, 1, 2, 3}
Klio2033 [76]
The Range is going to be -10, -7, -4, -1, 2
8 0
3 years ago
What is the discontinuity of the function f(x)=x^2-3x-28/x+4?
Hitman42 [59]

Answer:

Option D is correct that is (-4,-11).

Step-by-step explanation:

We have been given an expression:

f(x)=\frac{x^2-3x-28}{x+4}

We need to find the points of discontinuity

We will first factorize the given expression

\frac{x^2-7x+4x-28}{x+4}

\Rightarrow \frac{x(x-7)+4(x-7)}{x+4}

\Rightarrow \frac{(x+4)(x-7)}{x+4}

Hence, the point of discontinuity is where denominator gives value zero

So, x+4=0\Rightarrow x=-4

Point of discontinuity is -4

hence, after removing the point of discontinuity the function left is:

f(x)=x-7

Hence, put x=-4

f(-4)=-4-7=-11

Therefore, option D is correct that is (-4,-11).

4 0
3 years ago
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QveST [7]
Colin’s age is 3+62=65 years old
Dan’s age is 62-8=54 years old
The total is 65+54+62=181
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7/24 pepper is in the soup. 
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