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stepan [7]
3 years ago
6

Graph the system of linear inequalities. y≥2/3 x-3 y<-4x+7

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

The answer is given in the graph attached.

Step-by-step explanation:

i) The answer is given in the graph attached.

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Which number is rational
Irina-Kira [14]

Answer:

36/16

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
grandymaker [24]
Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39 
8 0
4 years ago
60 students study a language at a school.
mixas84 [53]
  1. The number of girls is 24.
  2. The number of boys that study French is 24.
  3. The numbber of boys that study German is 12.
  4. The number of girls that study French is 16
  5. The number of girls that study German is 8.

<h3>How to fill the frequency tree?</h3>

The number of girls = total number of students - total number of boys

60 - 36  = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

Please find attached the frequency tree. To learn more about addition, please check: brainly.com/question/349488

#SPJ1

3 0
2 years ago
. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
KIM [24]

Answer:

Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
Winnona took five chapter tests. The table shows her scores. Test 1 2 3 4 5 Score 95 85 96 97 74 If Winnona retakes Test 5, what
mestny [16]

Answer:

The answer is A.

Step-by-step explanation:

Given that Winnona took 5 tests and retake Test 5. So the mean score for this question is Total number of scores divide by Total number of tests is equals to 87 :

Let Test 5's score be x,

Let mean score be 87,

\frac{95 + 85 + 96 + 97 + x}{5}  = 87

Next you have to solve the value of x :

373 + x = 87 \times 5 \\ 373 + x = 435 \\ 373 + x - 373 = 435 - 373 \\ x = 62 \:  \:  \: scores

5 0
3 years ago
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