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3 years ago

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

1 answer:

hjlf3 years ago

7 0

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.

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Bus A and Bus B leave the bus depot at 8 am.

LenaWriter [7]

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

6 0

3 years ago

The approximate distance between J and K is units. The approximate distance between K and L is units. The approximate distance b

Dima020 [189]

Count the distance d, which gives you 7.

Use Pythogarean theorem to find c:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug in the numbers:
${4}^{2} + {3}^{2} = {c}^{2} \\ \\ = 16 + 9 \\ \\ = 25 \\ \\ c = \sqrt{25} = 5$
c is 5.

Same thing with g:
${e}^{2} + {f}^{2} = {g}^{2} \\ \\ {g}^{2} = {4}^{2} + {4}^{2} \\ \\ = 16 + 16 \\ \\ = 32 \\ \\ g = \sqrt{32} = 4 \sqrt{2} = 5.66$
g equals 5.66.

7 0

3 years ago

The missing exponent of the y-term must be ____? PLEASE HELP

a_sh-v [17]

Answer:

what is y term??

Step-by-step explanation:

hope it helps

7 0

3 years ago

Based on the model, approximately how many customers will be on the restaurant when there are 10 cars parked in the restaurant’s

Zanzabum

Answer:

Step-by-step explanation:

From the graph, derive the best fit equation :

Using the points ;

(0,2.5) (100 ,35)

x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35

Slope formula, m = (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = 0.325

The y intercept, value on the graph where best fit line crosses the y axis = 2.5

The equation :

y = mx + c

c = intercept ; m = slope

y = 0.325x + 2.5

y = Number of cars

x = number of customers

The number of customers if there are 10 cars parked :

10 = 0.325x + 2.5

10 - 2.5 = 0.325x

7.5 = 0.325x

x = 7.5 / 0.325

x = 23.076

x = 23

6 0

3 years ago

Find the Quotient.<br>2,874 - 4

Tanya [424]

Answer:

718.5

Step-by-step explanation:

First, you see how many times 4 can go into 28. Then divide by 74. To get 718.5

3 0

3 years ago