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3 years ago

Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

ANSWER

(3,-1)

EXPLANATION

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14

$x = \frac{14}{5} = 2 .8$

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1

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2 years ago

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Goryan [66]

Answer:

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2 years ago

A spinner numbered 1 through 12 is spun. Find the probability that

anastassius [24]

Answer:

$\dfrac{1}{6}$

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

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Here, total numbers in the game are 12 i.e $\{1,2,3,....,12\}$ .

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Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

$P(B) = \dfrac{1}{12}$

$P(A \cap B)$ is the probability that we get 11 and an odd number.

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$P(A\cap B) = \dfrac{1}{12}$

P(B/A) is the probability that we get an 11 given that it is an odd number.

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}$

Hence, P(B/A) = $\dfrac{1}{6}$

4 0

3 years ago

Read 2 more answers

The supplement of an angle is 3 times the complement of an angle.

-Dominant- [34]

Let’s says that x is the measure of the angle. X and it’s supplement are equal to 180. X and it’s complement are equal to 90. The supplement is s and the complement is c. S is times c which is the same as 3c.

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C+x = 90
X = 90 - c

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The complement of. 45 degree angle is 45 degrees.

The angle is 45 degrees.

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2 years ago