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Wittaler [7]
3 years ago
8

Solve the system by graphing.

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer: Option A. The solution set is (4,5)

Step-by-step explanation:

Solve the equation for<em> </em>y to obtain the form of the equation of the line.

You have:

y=-x+9 (The slope is -1 and the y-intercept is 9)

y=x+1 (The slope is 1 and the y-intercept is 1)

When you graph it you obtain the graph shown in the figure attached.

The solution is the intersection of the lines.

Then, the solution set is (4,5)

Iteru [2.4K]3 years ago
8 0

Answer:

Choice A is correct answer.

(4,5)

Step-by-step explanation:

We have given a system of equations.

x+y = 9              eq(1)

x-y = -1               eq(2)

We have to solve given system of equations by graphing.

From eq(1) ,

y = -x+9

slope = -1 and y- intercept is 9.

Frpm eq(2) ,

y = x+1

slope = 1 and y-intercept = 1

We have to draw given equation on graph.

From attachment , see the intersection point of equations.

(4,5) is intersection point which is our solution.

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(Area is a rounded rectangle)<br>4.6 cm long and 5 cm wide<br><br>How do I find area?<br><br>​
andrezito [222]

Answer:

multiply 4.6 and 5

Step-by-step explanation:

4.6 × 5 = 23

4 0
3 years ago
In what order would we solve for n?<br> 3n - 4 = 14
Blizzard [7]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation;

3*n-4-(14)=0

Pull out like factors :

3n - 18 = 3 • (n - 6)

Solve : 3 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solve : n-6 = 0

Add 6 to both sides of the equation :
n = 6
3 0
3 years ago
PLS HELP!<br> solve by completing the square<br> x²+4x=8
masya89 [10]

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

so

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

4 0
2 years ago
Is it A? If not, why?
Lostsunrise [7]

Answer:

It's A 7^7

Step-by-step explanation:

This is because if two numbers with the same base divide,we subtract the exponent of the divisor from that of the dividend

8 0
2 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma)

95% of all values lie within the 1 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)

99.7% of all values lie within the 1 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

\mu = 55\\\sigma = 4

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma) = (55-4,55+4)= (51,59)

95% of all values lie within the 2 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)= (55-2(4),55+2(4))= (47,63)

99.7% of all values lie within the 3 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)= (55-3(4),55+3(4))= (43,67)

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0
3 years ago
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