Determine if these lines are parallel, perpendicular or neither y=3x+5 and y=-6x+9

. All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 4

aivan3 [116]

Answer:

(a) = 13

(b) = 8

(c) = 5

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

60 = 40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

13 = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

learn more about sets and vein diagrams at

brainly.com/question/2332158

#SPJ10

4 0

2 years ago

Solve the equation (-8x-58)= (-2x+35)

BlackZzzverrR [31]

Solve x by simplifying both sides of the equation, then isolating the variable.

Answer:

x= - 31/2

6 0

3 years ago

Read 2 more answers

NEED HELP PLZZZ find x −9x>−12

Tema [17]

X-9x>-12
-8x>-12
-x>-12/8
-x>-1,5
x<1,5
Solución: x<1,5 or (-∞ , 1,5)

6 0

4 years ago

Read 2 more answers

A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0

4 years ago

Please help ASAP!ill give brainliest !

Vinil7 [7]

The vertex is at (0, 3) so y=a(x-0)²+3, which is y=ax²+3
next, use a given point to find a: 10=a(3)²+3, so 9a=7, a=7/9
the equation is then y= $\frac{7}{9}x^2+3$

as for the first question, the shape is an ellipse, the domain is -5≤x≤5, the range is -3≤y≤3

the equation can be written as : $\frac{x^2}{25}+ \frac{y^2}{9} =1$

5 0

4 years ago