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3 years ago

15

Angel walked 1.34 miles from home to school. He then walked 2.12 miles from school to the park. Finally, he walked 1.94 miles fr

om the park back home. Which trip was the furthest distance? Which trip was the shortest distance?

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

The furthest distance was 2.12 miles from school to the park.

The shortest distance was 1.34 miles from home to school.

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Show if the following expressions are equivalent

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

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$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

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3 years ago

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If it takes 2 hours to travel a distance of 120 km, how long would it take to travel 210km if the rate remained the same?

SVETLANKA909090 [29]

Answer:

about 3.5 hrs

Step-by-step explanation:

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2 years ago

Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

stepladder [879]

Considering the perimeter (P)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
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7 0

2 years ago

The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional

Alexxx [7]

Answer:

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Total charge for 12 miles

=

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

⇒

(

total miles

−

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

−

1

)

So

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

−

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

=

$

20.75

Hope this helps you...

:)

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2 years ago

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