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4 years ago

Find the solution of the system of equations shown on the graph

Mathematics

1 answer:

svet-max [94.6K]4 years ago

7 0

Answer:

(7, 9)

Step-by-step explanation:

The lines cross at point (7, 9). This is the solution.

If we assume the variables being graphed are x and y, then the solution is ...

x = 7
y = 9

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Tj owes $13.80 for text messaging in the month of March. If his text messaging complain cost $9 for the first 550 text messages

Gelneren [198K]

Answer: he sent 574 text messages that month

Step-by-step explanation:

Let x represent the number additional text messages that he sent that month.

If his text messaging complain cost $9 for the first 550 text messages and .20 for additional text messages, it means that the total cost of sending x text messages for a month would be

9 + 0.2(x - 550)

If Tj owes $13.80 for text messaging in the month of March, it means that

9 + 0.2(x - 550) = 13.8

0.2x - 110 = 13.8 - 9

0.2x = 13.8 - 9 + 110

0.2x = 114.8

x = 118.8/0.2

x = 574

4 0

3 years ago

The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters:

$\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s$

$\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}$ (4)

Where:

$s$ - Measure circumference, in centimeters.

$\Delta s$ - Possible error in circumference, in centimeters.

If we know that $s = 82\,cm$ and $\Delta s = 0.5\,cm$ , then the maximum error is:

$\Delta A_{s} \approx 8.3083\,cm^{2}$

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

6 0

3 years ago

How do you decide which variable to isolate in order to use the substitution method to solve a system of linear equation?

Kazeer [188]

It doesn’t really matter which variable you isolate first but usually you would use the one that’s by itself already. like for example one of the equations was y = 8. you would already have your y solve for so you would just have to plug that in for y in the other equation. personally, i usually do x first unless one of the equations has either x or y by itself already. i think its easier to just do x first and then solve for y after that, but it just depends on what the equations are; sometimes it might be easier to just do y first. hope this helps!

5 0

3 years ago

Estion

Illusion [34]

Answer:

Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

Step-by-step explanation:

be Carmen's money "c", Goran's "g" and Henry's "h"

Now, we organize the equations and we are left with:

c + g + h = 127

h = 4 * g

c = g + 7

replacing in the main one we have:

g + 7 + g + 4 * g = 127

6 * g = 127 - 7

g = 120/6

g = 20

now replacing:

h = 4 * 20 = 80

c = 20 + 7 = 27

therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

7 0

3 years ago

Find the value of "x".

Gnoma [55]

Answer:

49 . hope you found it helpful

3 0

3 years ago