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tamaranim1 [39]
2 years ago
8

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relat

ionship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m − 10

Which is a possible correct method to find Wilson's and Mary's ages?

A: Solve w + 6 = 5w − 10 to find the value of w.
B: Write the points where the graphs of the equations intersect the x axis.
C: Solve m + 6 = 5m − 10 to find the value of m.
D: Write the points where the graphs of the equations intersect the y axis.

10 Points
Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer:

C: Solve m + 6 = 5m − 10 to find the value of m.

Step-by-step explanation:

(I think there is an error in the answer though it’s the correct one)

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Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

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y=\frac{3}{2}

y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

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We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

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Step-by-step explanation:

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Step-by-step explanation:

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Please help fast asap
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Answer: 47 degrees

Step-by-step explanation:

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Read 2 more answers
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