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2 years ago

ASAP HELP WITH NUMBER 6!! Do A and B!!!!

Mathematics

1 answer:

spin [16.1K]2 years ago

3 0

LINE A
y-intercept : 3
x-intercept: 3
Rate of change: x (because 3/3 equals 1 and 1 times x is the same as x by itself)

Line B
y-intercept: 2
x intercept: -2
rate of change : x (because 1/1 is 1 and 1 times x is the same as x by itself)

Line C
y-intercept: -4
x intercept: 2
rate of change: 2

Line A: Equation F
Line B: Equation D
Line C: Equation E

Extra Notes:

y=mx + b is the slope intercept equation.
M is the slope
B is the y intercept
X and Y are the coordinates

To find slope, you can always use y2-y1/x2-x1 or even determine the slope on the graph by using rise over run and simplifying when possible.

(Please check my method to see if the answers are correct)

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Evaluate −4x − y + 4 when x = −14 and y = 3

miskamm [114]

Answer:

Step-by-step explanation:

-4x-y+4

plug in the numbers for the letters

-4(-14)-3+4

multiply -4(-14)= 56

56-3+4

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2 years ago

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Simplify the following expression : (2x + 7y) (x – 3y) – (9x + 4) (3x - 2)

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-25x^2+xy-21y^2+6x+8

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2 years ago

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.

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3 years ago

A triangle and a rectangle are shown below.

nadezda [96]

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

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2 years ago

What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger tha

Allushta [10]

Answer:

the correct answer is a

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