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3 years ago

HELP PLS!! INCLUDE EXPLAINING THANK YOU

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

Lucy paid the least amount of money and she paid $770

Step-by-step explanation:

The way to find dylans is

1000-80= $920

920 x .15= $782

for lucy you do:

1000 x .15= $150

150 + 80= $230

1000-230= $770

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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

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 apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

A truck is used to transport gravel. The box on the truck is a rectangular prism 11 ft long, 7 ft wide and 4 ft high. The box do

chubhunter [2.5K]

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

8 0

3 years ago

Answer pls thanks kfdsdatttdfyui8u90g

diamong [38]

Answer:

Step-by-step explanation:

960 75%

6 0

2 years ago

Jerome is planning a fundraiser.

PilotLPTM [1.2K]

Answer:132

Step-by-step explanation: 1.25-.50=75 the profit of each apple is 75 cents

99 dollars divided by .75 is 132

8 0

3 years ago

Solve for X and find the code.

N76 [4]

Answer:

1. x= 8

2. x= 6

3. x= 7

4. x= -8

Code: BECI

Step-by-step explanation:

6 0

2 years ago