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Aleks [24]
2 years ago
11

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that a

pply.
A. y=sec x
B. y= tan x
C. y= cot x
D. y= csc x
Mathematics
2 answers:
Dima020 [189]2 years ago
6 0

Answer:

A. y=sec x

D. y= csc x

Step-by-step explanation:

We have that,

Range of the functions is the set of all real numbers greater than or equal to 1 or less than or equal to -1.

As, we know that,

Range of the functions, y = tanx and y = cotx is (-\infty,\infty) i.e. the set of all real numbers.

So, options B and C are discarded.

Since, \csc x=\frac{1}{\sin x} and \sec x=\frac{1}{\cos x}.

Thus, their range will be greater than the the range of y = sinx and y = cosx.

Now, as it is known that the range of the functions  y = sinx and y = cosx is [-1,1].

Then, the range of y=sec x and y= csc x is the set of all real numbers greater than or equal to 1 or less than or equal to -1.

Hence, options A and D are correct.

kirill115 [55]2 years ago
5 0
I believe it is A and D
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I need help with how to solve this problem. It is #14. It already shows the answer (1point) but I need help on how to get there
Hitman42 [59]

Answer:

Option 4: 0.554

Step-by-step explanation:

As we can see that the intervals and their frequencies are given.

We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.

So, combined scores of both intervals are:

172+105 = 277

Now to find the probability

= 277/500

=0.554

So option no 4 is the correct answer ..

7 0
3 years ago
Astrid is looking for a job at a call center. Call center A offers her 15 dollars per hour and call center B offers her 25 cents
KIM [24]

Call center A and B offers equal wages.

<h3>what is Equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The formula for wages = P/t

First, P= 15 dollars

           = 1500 cents

time= 1 hour= 60 minutes

then, the unit rate is

=1500/60

= 25 cents/ min

Second, P= 25 cents

       

time= 1 minutes

then, the unit rate is

=25/1

= 25 cents/ min

Hence, Call center A and B offers equal wages.

Learn more about equation here:

brainly.com/question/10413253

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6 0
1 year ago
The cost of a pizza with the works" is represented as a function of its
Nina [5.8K]

Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

C = d^2 – 2d + 447

where

C = cost of the pizza

d = diameter of the pizza

If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?

12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

d^2 - 2d = 435

d^2 - 2d - 435 = 0

Solve the quadratic equation using formula

a = 1

b = -2

c = -435

d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

= 1 + 2(10.44) or d = 1 - 2(10.44)

= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

7 0
2 years ago
What is - 6<br><br> 5p - p when you simplify it
Darina [25.2K]
5p-p=4p. The question doesn't make sense because ther is no sign after the minus 6. If it is an X it would be -24p. If it is an add it would be -6+4p. If it was a - it would be -6-4p.
6 0
3 years ago
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age
lora16 [44]
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"

Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68


7 0
3 years ago
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