All categories

1 year ago

tarik starts a morning walk at 7:00 am. his distance, in miles, to the nearby grocery store after x hours is f(x)

Mathematics

1 answer:

Grace [21]1 year ago

8 0

Total distance walked by Tarik is 0.75 miles according to the given equation.

What is equation?

In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

Given that

The expression that represents the Tarik's distance is

=> f(x) = 3∣x−0.5∣

And also given that at 7.15 am he is some distance away from the store

Let Tarik is 'a' miles away from the store at 7.15 am

The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes

As we know 60 minutes = 1 hr

=> 15 minutes = 15/60 = 0.25 hrs

The given expression to find the Distance is

f(x) = 3 ∣x − 0.5∣ where x is number of hours

At x = 0.25

f(0.25) = 3 |0.25 - 0.5|

= 3 |- 0.25|

= 0.75 miles

Therefore,Tarik is 0.75 miles away from the store.

To know more about equation , visit:

brainly.com/question/22688504

#SPJ4

You might be interested in

Help please! Will give brainliest to best CORRECT answer! You need a ladder that will reach up a 25 foot tall house when placed

timurjin [86]

Answer:b 27 feet

Step-by-step explanation:You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house.

6 0

2 years ago

Read 2 more answers

A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

$& 9000=xy$

$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

$& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\$

• Hence $x=10\sqrt{150}$ and $y=\frac{900}{\sqrt{150}}$

Learn More about Differentiation Here:

brainly.com/question/13012860

7 0

2 years ago

Read 2 more answers

If the probability of selecting, without replacement, 2 red marbles from a bag containing only red and blue marbles is 3 55 and

Marat540 [252]

Answer:

Step-by-step explanation:

Let T = the TOTAL number of marbles in the bag.

We are told that 3 of those marbles are red

P(select a red marble first) = 3/T

Once we've removed the first red marble, there are T-1 marbles remaining and 2 of them are red

So, P(select a red marble second) = 2/(T-1)

Okay, now let's use probability rules to answer the question....

P(select 2 red marbles) = P(select a red marble first AND select a red marble second)

= P(select a red marble first) x P(select a red marble second)

= 3/T x 2/(T-1)

= 6/(T² - T)

We're told that P(select 2 red marbles) = 3/55

So, we can write: 6/(T² - T) = 3/55

Cross multiply to get: 3(T² - T) = (6)(55)

Divide both sides by 3 to get: T² - T = (2)(55)

Evaluate: T² - T = 110

Rearrange: T² - T - 110 = 0

Factor: (T - 11)(T + 10) = 0

So, EITHER T = 11 OR T = -10

Since T cannot be negative, it must be the case that T = 11

6 0

2 years ago

Im not sure of how to solve these,any help? : 2x-5>x-2

777dan777 [17]

$2x-5>x-2\ \ \ \ \ \ \ \ \ |unknowns\ on\ the\ left\\\\2x-x>-2+5\\\\x>3\\\\x\in(\infty,3)$

5 0

3 years ago

Read 2 more answers

Using new equipment, a worker finished 4 more parts in an hour than was planned and fulfilled his daily task not in 8 hours, but

UNO [17]

Let the planned number of parts per hour = x
 Then the planned number of parts for the day = 8x
 By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
 So he finished 6(x + 4) parts that day.
 6(x + 4) = 8x
 6x + 24 = 8x
 2x = 24
 x = 12

6 0

2 years ago