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lisov135 [29]
3 years ago
15

Explain how to find the x-intercept of the graph of y = 4x - 2.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.

y = 4x - 2

0 = 4x - 2 ... y is replaced with 0

4x-2 = 0

4x-2+2 = 0+2 ... we add 2 to both sides

4x = 2

4x/4 = 2/4 .... divide both sides by 4

x = 1/2

x = 0.5

The x intercept is x = 1/2 or x = 0.5

--------------------------

The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)

side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.

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3 years ago
Eggplant has a yield of 81%. If you purchase 12lb of eggplant, how many pounds will you be able to use?(round to the nearest hun
Aleonysh [2.5K]

Answer:

9.72 lb

Step-by-step explanation:

Yield = the amount or quantity produced or returned.

Given:

  • Yield of eggplant = 81%
  • Amount of eggplant purchased = 12 lb

To determine how many pounds of eggplant you will be able to use, calculate 81% of the amount of eggplant purchased.

\begin{aligned}\sf 81\% \: of \: 12 \: lb & = \sf \dfrac{81}{100} \cdot 12\\\\& = \sf  \dfrac{81 \cdot 12}{100}\\\\& = \sf \dfrac{972}{100}\\\\& = \sf 9.72\:lb\end{aligned}

Therefore, you will be able to use 9.72 lb (nearest hundredth).

Learn more about percentages here:

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6 0
1 year ago
Read 2 more answers
Please help with number 39
mr Goodwill [35]

You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation

... 3v + 7c = 4480

In intercept form, this equation is

... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480

Among other things, this tells us one solution is

... (v, c) = (0, 640)

The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.

The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)

We can also pick some number in between, say using 100 as the multiple

... (0 +100·7, 640 -100·3) = (700, 340)

In summary, your three solutions could be

... (visors, caps) = (0, 640), (700, 340), (1491, 1)

7 0
3 years ago
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