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elena-s [515]
3 years ago
14

PLEASE I NEED THIS TODAY!!!

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

Option D y\leq -3x-3 and y

Step-by-step explanation:

step 1

<u>Find the equation of the inequality A</u>

we know that

The solution of the inequality A (dashed line)  is the shaded area below the dashed line

The equation of the dashed line is y=-\frac{1}{2}x+2

therefore

The equation of the inequality A is y

step 2

<u>Find the equation of the inequality B</u>

we know that

The solution of the inequality B (solid line)  is the shaded area below the solid line

The equation of the solid line is y=-3x-3

therefore

The equation of the inequality B is y\leq -3x-3

The system of linear inequalities is

y\leq -3x-3 and y

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Write the equation of a line in - form that contains the point (- 1, - 2) and is perpendicular to the line y = 5x - 10 degrees
galina1969 [7]

Answer:

y+2= -1/5(x+1)

Step-by-step explanation:

if lines are perpendicular their slopes are negative reciprocal

y=mx+b where m is the slope

y=5x-10 has the slope 5 so a perpendicular line will have slope -1/5

equation point slope form

(y-y1) = m(x-x1) where m is slope, and (x1,y1) any point that belongs to the line

y+2= -1/5(x+1)

3 0
3 years ago
MC
spayn [35]

Answer:81

Step-by-step explanation:

3 0
3 years ago
How many real solutions does a quadratic equation have if its discriminant is negative?
kvasek [131]

Answer:

A

Step-by-step explanation:

Discriminant is given by

D = b^{2} -4ac

If it is negative then in quadratic formula the square root part becomes negative which makes the solution complex.

so there cannot be any real solution if the Discriminant is negative or less than 0 ,

The correct option for the given question is

A

3 0
3 years ago
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per
kari74 [83]

Answer:

The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute

P(x⁻>96) =0.0359

Step-by-step explanation:

<em>Explanation</em>:-

<em>Given sample size 'n' =10</em>

<em>mean of the Population = 90 words per minute</em>

<em>standard deviation of the Population =10 wpm </em>

<em>we will use formula</em>

<em>                            </em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em>Let X⁻  = 96</em>

                           Z = \frac{96-90 }{\frac{10}{\sqrt{10} } }

                          Z =  1.898

<em>The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute</em>

<em></em>P(X^{-}>x^{-} ) = P(Z > z^{-} )<em></em>

<em>                    = 1- P( Z ≤z⁻)</em>

<em>                    = 1- P(Z<1.898)</em>

                   = 1-(0.5 +A(1.898)

                   = 0.5 - A(1.898)

                   = 0.5 -0.4641 (From Normal table)

                  = 0.0359

<u><em>Final answer</em></u>:-

The probability that a random sample of 10 second grade students from  

                = 0.0359

4 0
3 years ago
Which expression has a value greater than π²?​
neonofarm [45]

Answer:

13 + 0 and other expressions greater than pi squared

Step-by-step explanation:

4 0
3 years ago
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