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3 years ago

Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

The value of n for the first term will be 1 and greater ...

So its the third choice

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

What is the value of the expression below when z=4? 10z-3

77julia77 [94]

Answer:

Step-by-step explanation:

10z - 3 = 10(4) - 3

=40-3

=37

3 0

3 years ago

Read 2 more answers

What kind of equation is 4x+3y=7

s344n2d4d5 [400]

Answer:

linear equation with two variables

Step-by-step explanation:

5 0

2 years ago

Hello can someone please help me (with explanation ) how to do this thank you.............

tigry1 [53]

Answer:

A 24 because half of 12 is 6 then 6 x 4 is 24

B 90÷3 is 30 which is 2/3 of 45

Hope this helps you

6 0

2 years ago

Ab-2/3-67*4 if a=23 and b=3

Viefleur [7K]

what upAnswer:

Step-by-step explanation:

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3 years ago