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guapka [62]
2 years ago
12

Solve for x. x2 + 4x - 21 = 0

Mathematics
1 answer:
Anton [14]2 years ago
4 0
2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5
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a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take
Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

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x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

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3 years ago
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balandron [24]

Answer:

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Step-by-step explanation:

Hopefully this helps!

4 0
2 years ago
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Assoli18 [71]

Answer:

<h2>C</h2>

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yarga [219]

Answer:

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2 years ago
Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

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Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

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