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lorasvet [3.4K]
3 years ago
15

What is the solution to the system of equations? 2x+4t=12

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

C. (8, -1)

Step-by-step explanation:

{y = ¼x - 3}

{2x + 4y = 12

2x + 4[¼x - 3] = 12

2x + x - 12 = 12

3x - 12 = 12

+ 12 + 12

_________

3x = 24

__ __

3 3

x = 8 [Plug this back into both equations above to get the y-coordinate of −1]; -1 = y

I am joyous to assist you anytime.

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Arif and Keisha go to a restaurant for dinner. Their meals total $13.75.The tax is 5%
Hunter-Best [27]
The total cost of the dinner meals taken by Arif and Keisha = $13.75
Percentage of tax that need to be given = 5%
Then
Amount of tax that needs to be given = (5/100) * 13.75 dollars
                                                           = 13.75/20 dollars
                                                           = 0.687 dollars
                                                           = 0.69 dollars
So
The total amount that needs to be 
paid for dinner including tax = (13.75 + 0.69) dollars
                                             = 14.44 dollars
Percentage of tips that they both want to leave = 15%
Then
Amount of tips that need to be given = (15/100) * 14.44
                                                           = 216.6/100 dollars
                                                           = 2.17 dollars
So
The total amount that they should leave = (14.44 + 2.17) dollars
                                                                 = 16.61 dollars
So they should leave a total of $16.61 in the restaurant.
4 0
3 years ago
(04.01 LC)
snow_tiger [21]
<h3>Answer:</h3>

c. Both A and B

<h3>Step-by-step explanation:</h3>

A function is a mapping that maps each element of its domain (student's name) to exactly one element of its co-domain (favorite ...). Assuming student names are unique and the notion of "favorite" is exclusive (can't have two or more "favorites" of the same type), then both A and B describe mappings that are functions.

5 0
4 years ago
Read 2 more answers
Factor <br> X^4+12x^2+27=0
Softa [21]

Answer:

(x2+3)  •  (x2+9)

Step-by-step explanation:

Factoring x^{4} +12x^{2} +27=0

The first term is,  x^{4}  its coefficient is  1 .

The middle term is,  12x^{2}  its coefficient is  12 .

The last term, "the constant", is  +27  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 27 = 27  

Step-2 : Find two factors of  27  whose sum equals the coefficient of the middle term, which is   12 .

     27    +    1    =    28  

     9    +    3    =    12    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  -3  

                    x4 + 9x2 + 3x2 + 27

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2+9)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x2+9)

Step-5 : Add up the four terms of step 4 :

                   (x2+3)  •  (x2+9)

7 0
4 years ago
Determine the discount between the point(-4,2) and the line 4y=3×+6​
Savatey [412]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0
3 years ago
In which quadrant is the point (5, 8)
Ganezh [65]
(5, 8) has two positive numbers. In case you don't remember

Quadrant I: Both positive
Quadrant II: Negative x value, Positive y value
Quadrant III: Both negative
Quadrant IV: Positive x value, Negative y value

5 and 8 are Both Positive, therefore it is in quadrant I.
3 0
3 years ago
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