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2 years ago

Let f(x)=2/3x+4 and g(x)=kx+6 . For which value of will the x-intercept of f() be equivalent to the x-intercept of g()?

Mathematics

1 answer:

Komok [63]2 years ago

3 0

0=(2/3)x +4

multiply by 3

0=2x +12

x =-6

(2/3)x +4 =0

2x +12 = 0

x =-6 = the x intercept

(2/3)x + 4 = kx +6

(2/3- k)x = 2

multiply by 3

(2-3k)x = 6

(2-3k)(-6) = 6

2-3k =-1

3k= 3

k = 1 makes the 2nd equation have the same x intercept = -6 or the point (-6,0)

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The weather satellite shows that hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilome

jenyasd209 [6]

Answer:

1. 3 days.

Step-by-step explanation:

We have been given that the hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilometers per hour.

First of all we will find the number of hours it will take for George to reach Puerto Rico. We can find number of hours taken by hurricane George to reach Puerto Rico by dividing 1728 by 24.

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$\text{Time taken by hurricane George to reach Puerto Rico}=\frac{1728}{24}$

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We can see that George will reach Puerto Rico in 72 hours. Let us convert hours to days by dividing 72 by 24 (number of hours in a day).

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2 years ago

Consider the following equation, bh+hr=25 when solving for h

olga2289 [7]

1.) Distribute out the h: h(b+r)=25
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The answer is 25/(b+r)

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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3 years ago

(m+2)(m+3)=(m+2)(m-2)

Anastaziya [24]

(m+2)(m+3)= (m+2)(m-2)
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⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
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3 years ago

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