Mathematics, 23.08.2019 09:20 raekwon12

The equation f(x)= 2/3 x + 1 is giving me some hard times can anyone ?

Answers: 1

Show answers

Answers

F(x) = 2/3x + 1

This is in the slope-intercept form of an equation for a line.
Which is written as this: (Note f(x)= is the same as saying y= in this case)

y = mx + b

M is our slope. Slope is the RISE over the RUN

In other words it is y/x
For this graph y represents distance, and x represents time. (Life Tip: TIME is almost ALWAYS the X value)

In this case M = 2/3

So her speed is:
2 units/3 units

B is the y-intercept. The y-intercept is where the X-value equals 0. So, (0,y). Because the y-intercept is distance she should have a y-intercept of 0. (The origin) because that would mean at the start of the race she had no distance (aka she was at the starting line).

Because her y-intercept (b) = 1 she did have a head start.

Here are both the answers at once to make it easier for you:
Speed (Replace Units with whatever units you were given. Distance Units go on top. Time units on bottom. Example: Meters/Second))
2 units/3 units

Did she have a head start? (Unit being whatever distance unit you were given)
Yes, 1 unit.

Answer from: Quest

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

= 2×(-2)+(-8)×(6)+(-8)×(-5)

= -4-48+40

= -12

hence, v.w= -12

Answer from: Quest

the probability that a bird is green (.30) is true

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 23:00

Which equation shows y= 3 4 x− 5 2 in standard form? a 4x−3y=10 b 3x−4y=10 c 3x−4y=−10 d 4x−3y=−10

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d

Answers: 1

Answer

Mathematics, 22.06.2019 03:30

Sections of prefabricated woods are each 5 1/3 feet long, how long are 7 1/2 sections placed end to end?

Answers: 3

Answer

Mathematics, 22.06.2019 05:00

The blue lake trail is 11 1/2 miles long.grace has hiked 1 1/2 for 2 hours. how far did she from the end of the trail