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Sav [38]
2 years ago
7

if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

Mathematics
1 answer:
sineoko [7]2 years ago
5 0

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

<h3>Comparison to general line</h3>

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

<em>Additional comment</em>

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

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Find the f(0) and f(1)
Kruka [31]

Answer:

C

Step-by-step explanation:

to evaluate substitute x = 0 and x = 1 into f(x)

note that a^{0} = 1

f(0) = 45 × (1/3)^{0} = 45 × 1 = 45

f(1) = 45 × (1/3)^{1} = 45 × \frac{1}{3} = 15


5 0
3 years ago
Read 2 more answers
10+5-7=3y<br><br> -10x+5x+5=-15<br><br> 3x+2x-4x+10<br><br> pre algebra 8th grade math
jasenka [17]

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

5 0
2 years ago
What is the answer to -5f=-3(8-f)
Semmy [17]

Answer:

Step-by-step explanation:

-5f=-3(8-f)

Opening bracket

-5f = - 24 + 3f

Collecting like terms

-5f - 3f = -24

-8f = -24

Dividing by -8

f = -24/-8

f = 3

4 0
3 years ago
Read 2 more answers
How do you change 45/117 to the simplest form?????
Bezzdna [24]
45/117
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3 0
2 years ago
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Help meeeeee plzzzzzz asap Find the area of the shaded regions.​
muminat

Area of a circle is PI x r^2

The radius of the large circle is shown as 8 m

The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m

The radius of the small circle would be 2m

Area of large circle = pi x 8^2 = 64pi = 200.96 square m

Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.

Area of small circle = pi x 2^2 = 4pi = 12.56 square m.

The area of the shaded region = large - middle + small

Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.

7 0
3 years ago
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