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2 years ago

Complete the sentences below based on the graph of the function. Please help!

Mathematics

1 answer:

Gnom [1K]2 years ago

7 0

Answer:

20 km
20 km/h
5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

Sean's workplace is located 20 km from his home.

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

(20 km)/(1 h) = 20 km/h

Sean's speed driving to work was 20 km/h.

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

(10 km)/(2 h) = 5 km/h

Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

<em>Additional comment</em>

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

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When solving -1/8(x+35)=-7 , what is the correct sequence of operations

TiliK225 [7]

x= -623/18

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3 years ago

Read 2 more answers

Joe began to increase the speed of his car at 2:00 P.M. Since that time,the speed of Joes car has been steadily increasing by 1

Olegator [25]

Answer:

7 mins

Step-by-step explanation:

Current speed of Joes Car = 65.5 mph

We have to find the time interval for which the car exceeded the speed limit of 55 mph.

While, we are given that the speed of the car was constantly increasing, hence the speed over all increased from the limit of 55 mph = 65.50-55.00 = 10.50 mph

We are also given that Joes car was increasing speed at a constant rate of 1.50 mph for every passing minute. Hence

1.50 mph is increased in 1 minute

1 mph will be increase in $\frac{1}{1.5}$ minutes

Hence

10.50 mph will be increased in $\frac{1}{1.5} \times 10.50$ minutes

$= \frac{10.5}{1.5}$

$=7$

Hence joes car was exceeding the limit of 55 mph for 7 minutes.

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3 years ago

8 lb 1 oz − 3 lb 6 oz

lbvjy [14]

Answer:

Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz

Step-by-step explanation:

6 0

3 years ago

Use the expression (8x + 2) + (-9x + 7)

sasho [114]

Combine like terms, you would get -1+9 which your answer would be 8

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3 years ago

The farmer needs to plant at least 3 acres of rye, but no more than 15 acres of rye. the farmer needs to plant at least 1 acre o

rusak2 [61]

<span>let
x = acres of when
y = acres of rye

Maximize
z = 500x + 300y

subject to
x >= 3
x <= 15
y >= 1
y <= 7
x + y <= 20

bounded

both

(3, 1)
(15, 1)
(15, 5)
(13, 7)
(7, 3)

sub points into your max equation
(3, 1) = 1500 + 300 = 1800
(15, 1) = 7500 + 300 = 7800
(15, 5) = 7500 + 1500 = 9000
(13, 7) = 6500 + 2100 = 8600
(7, 3) = 3500 + 900 = 4400

max profit of $9,000 is achieved when 15 acres of wheat and 5 acres of rye are planted and sold</span>

6 0

3 years ago