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Dmitrij [34]
2 years ago
12

Please help me

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0
4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1

-1>-4(-1)-6
-1>4-6
-1>-2;    
(-1,-1) is a solution for this in-equation.

(0,-9)
0>-4(-9)-6
0>36-6
0>30    this is not true, therefore (0,-9) is not a solution.

(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22   This is true, therefore (4,-20) is a solution. 

(2,0)
0>-4(2)-6
0>-8-6
0>-14        This is true, therefore (2,0) is a solution.

(-3,6)
6>-4(-3)-6
6>12-6
6>6             This is not true, therefore (-3,6) is not  a solution for this in-equality. 

Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).

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Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses?
Elena L [17]

Answer:

$16.90

Step-by-step explanation:

First you need to find how much the markup is in dollars.

Multiply 13(0.3).

This will give you 3.9.

Then you add this to the original cost of the glasses.

13+3.9= 16.9.

So, the final cost of the glasses is $16.90.

3 0
3 years ago
Distance between (-10,9) and (-5,2)
jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

\sqrt{(y1 - y2)^{2} +  {(x1 - x2)}^{2}  }

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

=  \sqrt{ {(9 - 2)}^{2}  +  {( - 10 + 5)}^{2} }  \\  =  \sqrt{ {7}^{2}  + ( - 5)^{2} }  \\  =  \sqrt{74}  \\  = 8.60 \: units \: (3 \: s.f.)

8 0
3 years ago
14x+2y=-10<br> solve equations for y
Ne4ueva [31]

Answer:

y = -7x - 5

Step-by-step explanation:

14x + 2y = -10

2y = -14x - 10

2y/2 = -14x/2 - 10/2

y = -7x - 5

Hope this helps -w-

3 0
3 years ago
Read 2 more answers
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two
Ronch [10]

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

4 0
2 years ago
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