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kifflom [539]
3 years ago
13

The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0
Y=4x. its 4 bucks for each pound of granola
Setler [38]3 years ago
4 0

Answer: y = 4x

Step-by-step explanation:

The standard equation of a line in intercept form is given by  :-

y=mx+c\ \ \ \ \ \ \ (i), where m is the slope of the line and c is the y-intercept.

The graph shows the price, y, in dollars, of different amounts of granola, x, in pounds:

From the graph , it can be seen that the line is passing from the origin (0,0).

Put x=0 and y=0 in (i) , we get c=0

Also, at x= 2, we have y=8

Put these values in (i) , we get

[tex]8=m(2)+0\\\\\Rightarrow\ m=\dfrac{8}{2}=4[/tex]

Now, the equation best represents the relationship between x and y will be

y = 4x+0\\\\\Rightarrow\ y = 4x

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2 years ago
write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t
LenKa [72]

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept (the y value when x = 0)


First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{6-9}{-3-4}

m=\frac{-3}{-7} =\frac{3}{7}



A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7


y = 3/7x + b    To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b    Subtract 6 on both sides

2 = b


y=\frac{3}{7}x+2



B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2


Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b    Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b   Add 98/3 on both sides

8 + 98/3 = b       Make the denominators the same

24/3 + 98/3 = b

122/3 = b


y=-\frac{7}{3}x+\frac{122}{3}

7 0
3 years ago
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3 0
3 years ago
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A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the
ivann1987 [24]

9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

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The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0
2 years ago
Can you help me by showing work on some of them please I’m having trouble
Xelga [282]
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3 years ago
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