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Xelga [282]
3 years ago
12

Graph these equations: x+2y=6, y=-1/2x+4 How many solutions does the system of equations have?

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

The system has no solution

Step-by-step explanation:

we have

x+2y=6

Isolate the variable y

2y=-x+6

Divide by 2 both sides

y=-\frac{x}{2}+3 ---> equation A

y=-\frac{x}{2}+4 ---> equation B

Compare the equations

Equation A and equation B have the same slope and different y-intercept

Remember that

If two lines have the same slope, then the lines are parallel

The solution of the system is the intersection point both graphs

In this problem, the lines don't intersect, therefore, the system has no solution

using a graphing tool

The graph in the attached figure

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Answer:

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Step-by-step explanation:

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  • 2 log₅ x = log₅ 2²
  • 2 log₅ x = 2 log₅ 2
  • log₅ x = log₅ 2
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All points from which of the following patterns would be contained on the given graph?
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The next number in the linear pattern would be 18
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mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma
Aneli [31]
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: r= \frac{c^2}{8m} + \frac{m}{2}
where 
c is the length of the chord 
m is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so c=52 and m=6. Lets replace those values in our formula:
r= \frac{52^2}{8(6)} + \frac{6}{2}
r= \frac{2704}{48} +3
r= \frac{169}{3} +3
r= \frac{178}{3}

Next, to find the minimum speed, we are going to use the formula: s= \sqrt{15fr}
where
f is <span>drag factor
</span>r is the radius 
We know form our problem that the drag factor is 0.2, so f=0.2. We also know from our previous calculation that the radius is \frac{178}{3}, so r= \frac{178}{3}. Lets replace those values in our formula:
s= \sqrt{(15)(0.2)( \frac{178}{3}) }
s= \sqrt{178}
s=13.34 mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 
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The graph of an exponential function has a y-intercept of 7 and contains the point (4,112). Construct the exponential function T
blondinia [14]

The exponential function that describes the graph is y=7\cdot 2^x

The standard form of an exponential function is expressed as y=ab^x

a is the y-intercept

(x, y) is the point on the graph

Given the following expression

a = 7

(x, y) = (4, 112)

Substitute the given values into the exponential equation

y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2

Get the required exponential equation

Recall that y=ab^x, hence the required equation will be y=7\cdot 2^x

Learn more here: brainly.com/question/19245707

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