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telo118 [61]
3 years ago
7

function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer:

x - intercept = -4

Step-by-step explanation:

We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.

From general line equation, the formula is; y = mx + c

Where m is the slope and c is the intercept.

Thus, the equation is;

f(x) = (3/2)x + 6

Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.

Thus let's put 0 for f(x) to find the x-intercept.

0 = (3/2)x + 6

(3/2)x = -6

x = -6 × 2/3

x = -4

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Answer:

b-65

Step-by-step explanation:

They give you 130 and so to get the next measure its 180-130 and you get 50. So the blank angle is 50. Then the next two angles are y which means theyre equal to each other so they have to be the same number. Get 180 again and subtract 50 and get 130. Split 130 in half and get 65.

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ANSWER:

  • x – 3y = 2 ...(1)
  • 2x – 6y = 6 ...(2)

On solving eq(1), we get

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Plug the value of x in eq(2)

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Triangle EFG is an isosceles triangle with EG=EF. What is the approximate length of EF, and what is the approximate perimeter of
sineoko [7]

Answer:

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

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Answer:

<em>Peter now has 54 baseball cards</em>

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We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation

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