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Alekssandra [29.7K]
3 years ago
6

John and Tyrone each go for a morning jog before work. John's jogging pace

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

y = 5x --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,12)

Calculate the slope (m); i.e. unit rate

m = \frac{y_2 - y_1}{x_2 -x_1}

m = \frac{12 - 0}{2 -0}

m = \frac{12}{2}

m = 6

For John, we have:

y = 5x

A linear equation is represented as:

y = mx+ c

Where m represents the unit rate. So, by comparison;

m = 5

m = 5 --- John unit rate

m = 6 --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

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3 years ago
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riadik2000 [5.3K]

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Explanation:

Given:

\log_a5 \approx 0.699 and \log_a2 \approx 0.301

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\:\:\:\:\:\:\:\:\:\:= \log_a(5×2^2)

\:\:\:\:\:\:\:\:\:\:=\log_a5 + \log_a(2)^2

\:\:\:\:\:\:\:\:\:\:=\log_a5 + 2\log_a2

\:\:\:\:\:\:\:\:\:\:\approx 0.699 + 2(0.301)

\:\:\:\:\:\:\:\:\:\:= 1.301

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Step-by-step explanation:

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3 years ago
A-3b=4;2a=6b-9 Answer by elimination. Please include how you got to the solution. Apparently there is a solution to this problem
AleksandrR [38]

Answer:

Step-by-step explanation:

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or, 2a - 6b = -9 ------------(eq2)

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_________________________________

the variable part of both the equations are same. so the equation has more than one solution.

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