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Leto [7]
3 years ago
12

Please Help!!! Determine the intercepts of the line that corresponds to the following table of values.

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer:

y-intercept is (0,30); x-intercept is (52.5,0).

Step-by-step explanation:

Note that as x increases by 7 from -35 to -28,   y decreases by 4 from 18 to 14.  Thus, the slope of this line is

m = rise / run = -4/7.

Let's find the equation of the line.  Start with the slope-intercept form:

y = mx + b.  Use the slope m = -4/7 and the point (-28, 14) to find b:

14 = -(4/7)(28) + b, or

14 = -16 + b.  Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30.  The y-intercept is (0, 30).

Find the x-intercept by setting y=0 and solving the resulting equation for x:

y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.

The x-intercept is thus (52.5, 0).

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Answer:

Step-by-step explanation:

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(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3

(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25

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3 0
3 years ago
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an
STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

n(A\cup B)=20

We know that,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

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3 years ago
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Answer:

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Step-by-step explanation:

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12/5

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Answer:

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Step-by-step explanation:

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Alex

Answer:

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Step-by-step explanation:

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