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djverab [1.8K]
3 years ago
7

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice

questions worth 11 points each. This system of equations can be used to find how much of each question type he has.
x + y = 20
3x + 11y = 100

"X" represents the number of true/false question and "y" represents the multiple choice questions.
The solution to the system is (15, 5). What is the correct interpretation of this solution.
Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Answer:

Could you please help me with a math quiz?!?

Step-by-step explanation:

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I'm not sure where to start and how to differentiate this.
Mazyrski [523]
The picture is not clear. let me assume y = (x^4)ln(x^3)

product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)

dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)

look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)

end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]

5 0
3 years ago
Two customers went to a post office to buy postcards and large envelopes. Each postcard
astraxan [27]

The right answer is Option A.

Step-by-step explanation:

Let,

x be the postcards

y be the large envelops

According to given statement;

14x+5y=12   Eqn 1

10x+15y=24.80   Eqn 2

Multiplying Eqn 1 by 3;

3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3

Subtracting Eqn 2 from Eqn 3;

(42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\

Dividing both sides by 32

\frac{32x}{32}=\frac{11.20}{32}\\x=0.35

Putting x=0.35 in Eqn 1;

14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10

Dividing both sides by 5

\frac{5y}{5}=\frac{7.10}{5}\\y=1.42

Therefore, one large envelope costs $1.42

The right answer is Option A.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

4 0
3 years ago
11) f(x) = -x + 4x3 – 2x + 2
daser333 [38]

Answer:

Step-by-step explanation:

3 0
3 years ago
2(3x+2)and6+4x what is the answer
Andreyy89

Answer:

Step-by-step explanation:

4 0
3 years ago
-3|x|+2x-1 if x=-5<br><br> plz help
Savatey [412]

Answer:

 f(x) = -3|x| + 2x - 1

f(-5) = -3|-5| + 2*(-5) - 1

      = -3*5 + 2*(-5) - 1

      = -15 - 10 - 1

      = -26

Hope this helps!

:)

5 0
3 years ago
Read 2 more answers
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