MATHEMATICS HIGH SCHOOL

2.) Consider the following equations:−x − y = 1
y = x + 3

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(−1, 2) - answer?
(−2, 1)
(1, −2)
(2, −1)

Answers

Answer 1
Answer: Hello,
let's try by elimination

x+y=-1
y=x+3
We put the value of y into the first equation

x+(x+3)=-1
==>2x=-4
==>x=-2
So with the second equation, y= -2+3=1

Answer is B (-2,1)

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Point W was translated as follows W(-4,7) -> W'(-2,4) a student wrote the algebraic rule to describe the translation as (x,y)->(x-3,y+2) evaluate the students answer

Answers

Student did it wrong. The translation is: (x,y) → (x+2, y - 3 ).
Explanation:
For x- coordinate: -4 + 2 = -2
For y- coordinate: 7 - 3 = 4

H(t) = 6x -2; h(t) = -32

Solve for x.

Answers

Answer:

x = - 5

Step-by-step explanation:

Given h(x) = 6x - 2 and h(x)= - 32, then equate the right sides, that is

6x - 2 = - 32 ( add 2 to both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

Select all input values for which f(x)=3f(x)=3f, left parenthesis, x, right parenthesis, equals, 3.Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
x=-5x=−5x, equals, minus, 5

(Choice B)
B
x=-3x=−3x, equals, minus, 3

(Choice C)
C
x=-1x=−1x, equals, minus, 1

(Choice D)
D
None of the above

Answers

If the value of the variable x is negative 3 then the value of the even function is 3. Then the correct option is C.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given below.

f(x) = f(3) = 3

Let the function f(x) be an even function. Then we have

f(-3) = f(3) = 3

More about the even function link is given below.

brainly.com/question/3975387

#SPJ2

Answer:

-3

Step-by-step explanation:

This is what I got lol

An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion of the y-axis?n = 3
n = 4
n = 5
n = 6

Answers

Answer:  

n = 3

Step-by-step explanation:

The terminal side of an angle fall along the positive portion of the y-axis,

If it can written in the form of (90°)a

Where a is any positive odd integer,

Here, the given angle is,

(870n)°,

For n = 3,

Our angle will be 2610°

Its terminal side fall along the positive portion of the y-axis,

If 2610° = (90°)a ⇒ a = 29 ( Positive odd integer )

Thus, for n = 3,  the terminal side of the angle (870n)° falls along the positive portion of the y-axis,

For n = 4,

Our angle will be 3480°

Its terminal side fall along the positive portion of the y-axis,

If 3480° = (90°)a ⇒ a = 38.6667 ( Not possible )

Thus, for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis

For n = 5,

Our angle will be 4350°

Its terminal side fall along the positive portion of the y-axis,

If 4350° = (90°)a ⇒ a = 48.333.. ( Not possible )

Thus, for n = 5,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,

For n = 6,

Our angle will be 5220°

Its terminal side fall along the positive portion of the y-axis,

If 5220° = (90°)a ⇒ a = 58 ( Not possible )

Thus, for n = 6,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.
The answer would be n=3

Two coordinates points on the line y=6x

Answers