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Amanda [17]
3 years ago
8

Show that f(x) = 9x - 2 is a one-to-one function.number​

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

upon graphing, it is linear

Step-by-step explanation:

you could set up an x-y table or you could graph it

if you graph it you'll see it's linear with a y-intercept of -2 and a slope of 9

all linear equations are functions except for vertical lines

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emma wants a barbie doll that cost $7.00 . she had only $3.29. how many more money she needs to buy a barbie? use estimate to so
d1i1m1o1n [39]
Round $3.29 to $3. Then subtract $7 and $3 to get $4
4 0
2 years ago
AT&T offers a deal for internet service that is $20 a month. There is an intial fee of $50. If Tim spent $330 on his interne
GenaCL600 [577]

Answer:

162 months

Step-by-step explanation:

if I'm correct it should be 162

3 0
2 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
11 months ago
7t+2r-3t+r what is the answer
Troyanec [42]
This simplifies to 4t+3r
8 0
3 years ago
Read 2 more answers
Out of a salary of $4500. I kept 1/3 as saving. Out of the remaining money. I spend 50% on food and 20% on house rent. How much
Step2247 [10]
Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.
7 0
3 years ago
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