Which statements are true?

Mathematics

1 answer:

Nata [24]2 years ago

5 0

Answer:

123

Step-by-step explanation:

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Could someone please help me with this question? 15 points.

polet [3.4K]

1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph

1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1

8 0

3 years ago

I need a helping hand

skelet666 [1.2K]

Answer:it’s the third one

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Y is inversely proportional to x. If y= 400 when x =2 find y when x= 200

o-na [289]

Answer: 4

<u>Step-by-step explanation:</u>

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

200y = 800

y = 4

4 0

2 years ago

Select the equation of the line that passes through the point (5,7) and is perpendicular to the x = 4

Kamila [148]

Answer:

y= -1*x +12

Step-by-step explanation:

x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.

Perpendicular Lines are those with the following condition:

y=a*x+b (1)

y=c*x+d (2)

Where a and c are the respective slope

If These two lines are perpendicular, then

a=- 1/c

Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)

Lets use the given point (5,7) in the equation (2)

7=-1 * 5 + d

resulting d=12

so, our equation for the line is y= -1*x +12