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IgorC [24]
4 years ago
10

The distance and time that Amiliya runs each day depends on the number of hours, h, that she works. The distance, D, in miles, a

nd time, T, in minutes, that she runs are given by the functions D(h)=-0.5h+9.5 and T(h)=-5.5h+92.5. Let R be the average speed that Amiliya runs on a day in which she works h hours.

Mathematics
2 answers:
Roman55 [17]4 years ago
8 0
\textrm{average speed} = \dfrac{\text{distance}}{\text{time}}

R(h) = \dfrac{D(h)}{T(h)} = \dfrac{-0.5 h + 9.5}{ -5.5 h + 92.5}

We can multiply top and bottom by -2 to clear the decimals.

R(h) = \dfrac{ h - 19 }{11h - 185}

No common factors so we stop here.


wolverine [178]4 years ago
4 0

Answer:

R(h) =\frac{D(h)}{T(h)}

R(h)=\frac{h-19}{11h-185}

Step-by-step explanation:

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Dibuja un segmento de 6cm y su mediatriz construye un triángulo con dos de sus vértices en los extremos del segmento y el tercer
yuradex [85]

Answer:

Equilátero si todos sus lados son iguales o isósceles si la base es menor que sus otros dos lados.

Step-by-step explanation:

Revisar fotografía adjunta.

Comienzas dibujando la línea de 6 cm. Luego encuentras su mediatríz, la cual está a 3 centímetros de cualquier extremo de la línea.

Luego dibujas el triángulo como se muestra en el dibujo. Dependiendo de la longitud de los lados, el triángulo podría ser equilátero si todos sus lados son iguales o isósceles si solo los dos lados inclinados son iguales y la base es diferente.

3 0
3 years ago
-4/7 times what equals 32?
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Step-by-step explanation:

7 0
3 years ago
X+2>7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

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2 years ago
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