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3 years ago

The graph of the equation y = 1 x + 2 is displayed.

Mathematics

2 answers:

melisa1 [442]3 years ago

5 0

Answer:

A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

Step-by-step explanation:

The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.

Thus, from the options given, the following equations has y-intercept (b) of 2.

A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

All three equations have a y-intercept value, b, of 2.

Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.

mario62 [17]3 years ago

4 0

Answer: A/C/D

Step-by-step explanation: A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

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Jack lives east of NJH and finn lives west of NJH. Jack leaves right after school and rides his bike home at an average speed of

Vlada [557]

Answer:

Distance between NJH and Jack's home = 7.10 miles

Distance between NJH and Finn's home = (14-7.10) = 6.9 miles

Step-by-step explanation:

Given:

Jack lives east of NJH and Finn lives west of NJH.

Distance between Jack and Finn's home = 14 miles

Average speed of Jack = 7 mph

Average speed of Finn = 9 mph

Let the distance between Jack's house and NJH is '(x)' miles.

So the distance between Finn's house and NJH is '(14-x)' miles.

According to the question:

Time taken by both Finn and Jack are equal to reach home.

Considering $t_1$ is the time taken by Jack and $t_2$ is the time taken by Finn to reach home.

So,

⇒ $t_1=t_2$

We have to find the time taken.

⇒ Time taken by Jack. ⇒ Time taken by Finn.

⇒ $t_1=\frac{distance}{speed}$ ⇒ $t_2=\frac{distance}{speed}$

⇒ $t_1=\frac{x}{7}$ mph ⇒ $t_2=(\frac{14-x}{9} + \frac{15\ min}{60\ min})$ mph <em> ...15 min extra </em>

Equating both $t_1$ and $t_2$ :

⇒ $t_1=t_2$

⇒ $\frac{x}{7} =\frac{14-x}{9} +\frac{1}{4}$

⇒ $\frac{x}{7} =\frac{56-4x+9}{36}$

⇒ $\frac{x}{7} =\frac{65-4x}{36}$

⇒ Cross multiplying.

⇒ $x(36)=7(65-4x)$

⇒ $36x=455-28x$

⇒ $36x+28x=455$

⇒ $64x=455$

⇒ $x=\frac{455}{64}$

⇒ $x=7.10$ miles

Distance between NJH and Jack's home = (x) = 7.10 miles

Distance between NJH and Finn's home = (14-x) = (14-7.10) = 6.9 miles

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Lena [83]

Answer:

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Step-by-step explanation:

As there are no restrictions on the values of x, the domain is all real numbers.

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JulsSmile [24]

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alexgriva [62]

Answer:

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