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GalinKa [24]
2 years ago
13

Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of

these 140 students who are taking a history course but not an English course?
Mathematics
2 answers:
Alex777 [14]2 years ago
4 0

Answer:

33

Step-by-step explanation:

you have to subtract the number of people doing both from the number of people doing just the history.

Vsevolod [243]2 years ago
3 0

Answer:18

Step-by-step explanation:

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What is the quotient of 1/5 divided by 1/3?
Ugo [173]

Answer:

\frac{3}{5} or 0.6

Step-by-step explanation:

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3 years ago
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What is 1/2 • 2 - 1 =
ozzi

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0

Step-by-step explanation:

1/2 * 2 is 1. 1 - 1 is 0

Have a great day/night!

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3 years ago
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Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
pashok25 [27]

Answer: (an)(x)

Step-by-step explanation:

quizlet

8 0
3 years ago
Will mark BRAINLIEST!
beks73 [17]

Hello There!

The first one seems alright.

The second one it would be 1/2.

This is because half of the options have “R” on them.

7 0
2 years ago
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