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dybincka [34]
3 years ago
15

Maria graft the linear Equation Y equals X +3 then she uses a ruler to draw a vertical line through the .4, zero at what point d

o the two lines intersect

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

intersection point is (4,7)

Step-by-step explanation:

we have the equation y=x+3, and the point (4.0),

what point do the two lines intersect?

y=x+3, if x=4 then y=4+3 = 7; finally the intersection point is (4,7)

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At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl
Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.

Let 'p' represents the number of students who take all the three languages, then

n(A\cap B\cap C)=p.

Also,

n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).

From here, we get after subtracting equation(c) from (b) that

n(A\cap B)=n(A\cap C)=14.

Therefore,

p=14+14-24=4, and from equation (a), we find

n(B\cap C)=24-14=10.

Thus,

n(A\cap B\cap C)=4 and

n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0
3 years ago
The mass of the boulder is 48,567 kilograms. what is the mass of the boulder in metric tons
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A) (0,0)

Step-by-step explanation:

Plug in 0 for x to solve for y. y=4(0).

4(0)=0, so y=0.

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HELP if correct I give the best rating.
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Rosa wants to use $25.00 to buy games. The inequality
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she can buy 5 roses

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