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Brrunno [24]
3 years ago
6

Determine the intercepts of the line that passes through the following points (1,2) (3,10) (5,18)

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

  (1/2, 0), (0, -2)

Step-by-step explanation:

We can determine the slope from ...

  slope = (change in y)/(change in x) = (10 -2)/(3 -1) = 8/2 = 4

Then an equation for the line can be written for slope m and point (h, k) as ...

  m(x -h) -(y -k) = 0

Using the slope we calculated and the first point, we have the equation ...

  4(x -1) -(y -2) = 0

  4x -4 -y +2 = 0 . . . . . eliminate parentheses

  4x -y = 2 . . . . . . . . . . put in standard form

Now, we can divide by the constant on the right to put this into intercept form:

  x/(x-intercept) + y/(y-intercept) = 1

  x/(1/2) + y/(-2) = 1

The x-intercept is 1/2; the y-intercept is -2.

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The MoviePlex theater sold 1,456 tickets. The theater sold 6 times as many regular price tickets as it sold discount tickets. Ma
Lady bird [3.3K]

Jonah is the one that is correct because 1/6th of 1248 is 208. Then you add 1248 and 208 which is 1456 which is the correct answers

5 0
3 years ago
Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need
den301095 [7]

Answer:

4\frac{1}{2} cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

For making 3 batches of sidewalk chalk = 3\times 1\frac{1}{2} cup plaster of paris.

= 3\times \frac{2\times 1+1}{2}

= 3\times \frac{2+1}{2}

= 3\times \frac{3}{2}

= \frac{3\times 3}{2}

= \frac{9}{2}

=4\frac{1}{2}

Therefore, he needed 4\frac{1}{2} cups plaster of paris.

5 0
4 years ago
PLEASE HELPP MEE ASAPP!!
WARRIOR [948]

Answer:

Step-by-step explanation:

each zero of the function will have a factor of (x - x₀)

h(x) = a(x + 3)(x + 2)(x - 1)

h(x) = a(x + 3)(x² + x - 2)

h(x) = a(x³ + 4x² + x - 6)

or the third option works if a = 1

however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2

h(x) = -2x³ - 8x² - 2x + 12

to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a <u><em>partial</em></u> set of solution sets

7 0
3 years ago
5627 times an unknown variable is 41
vodomira [7]
Let the unknown variable be x.
5627x=41
x=41/5627
3 0
3 years ago
5/16=n/16 help please
Vsevolod [243]
Both have the same denominator
Remove the denominator
5=n
3 0
3 years ago
Read 2 more answers
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