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3 years ago

2x - y - 4 = 0 3x + y - 9 = 0 What is the solution set of the given system?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Answer:

$(\frac{13}{5};\frac{6}{5}).$

Step-by-step explanation:

$1)\left \{ {{5x=13} \atop {y=2x-4}} \right. \ 2)\left \{ {{x=\frac{13}{5} } \atop {y=\frac{6}{5} }} \right.$

short explanation: 1) to add the 1st equation to the 2d; 2) to calculate the value of 'x', then to substitute x=13/5 into the 2d equation and calculate the value of 'y'.

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Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27

mars1129 [50]

Answer: option C is the correct answer.

Step-by-step explanation:

The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. This means that the amount that she saved per week is

440/8 = $55

If she saves $55 in 8 weeks, the number of weeks left is

27 - 8 = 19 week

Amount that she would save in 19 weeks is

19 × 55 = 1045

Total amount saved in 27 weeks is

1045 + 440 = $1485

Therefore, the conclusion that you can make about Chuy's plan is

C. Chuy will save more than he needs and will meet his goal in less than 27 weeks.

3 0

3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?

salantis [7]

Ans: The average rate of change of function = $\frac{1}{102}$ (in fraction)

Explanation:
The average rate of change of function = $\frac{f(b) - f(a)}{b - a}$

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

$f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}$

Hence the average rate of change of function = $\frac{1}{102}$ (in fraction)

5 0

3 years ago

Introduction to the Quadratic Formula

vredina [299]

Answer:

Any questions for us

....

5 0

3 years ago

Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the com

azamat

Answer:

1250000

Step-by-step explanation:

Let number of the total number of shoes sold be 'y'

y*(70/100)= 875000

70y = 875000*100

y = (875000*100)/70

y = 1250000

3 0

3 years ago

Read 2 more answers

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a

vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0

3 years ago