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ohaa [14]
3 years ago
13

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

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Answer: -2x - 10

Steps: -2(x+5)

Apply the distributive law [ a(b + c) = ab + ac ]:

a = -2,  b = x,  c = 5

-2x + (-2) × 5

Apply minus/plus rules: -2x - 2 × 5

Multiply the numbers: 2 × 5 = 10

-2x - 10

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Geometry
Lady bird [3.3K]
Hi,
Answer should be letter B, since it is the one conclusion you get using both the law of detachment and the law of syllogism.
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3 years ago
A survey of 347 high school students asked students to describe their
vampirchik [111]

Answer:

Step-by-step explanation:

Conditional relative frequency is a frequency that is obtained in fraction that tells you what particular group has a particular feature.

In the questions above

Total number of high school students = 347

We have 3 groups based on their political tendencies

Liberal

Total number of Liberal students: 95

Total number of male Liberal Students = 27

Total number of female Liberal student = 95 - 27 = 68

Moderate

Total number of moderate students: 128

Total number of female moderate Students = 91

Total number of male moderate students is calculated as = 128 - 91

= 37

Conservative

Total number of conservative students: is not given in the question.

This is calculated as Total number of High school student - ( Total number of Liberal students + Total number of Moderate students)

347- (95+128) = 347- 223

= 124

Total number of female conservative Students= 93

Total number of male conservative students was not given in the question. Therefore it is calculated as = 124 -93 = 31

To determine the conditional relative frequency of males = Total number of high school male students in the school ÷ Total number of high school students in the school

Total number of male high school students is calculated as = Number of male Liberal students + Number of male Moderate students + Number of male Conservative students.

= 27 + 37 + 31

= 95 male high school students.

Hence the Conditional relative frequency of males = 95/347

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3 years ago
4.
elena-14-01-66 [18.8K]

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

4 0
3 years ago
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