Which system is represented by the graph

a. 3x-y=2 and 3x-y=1
b. 3x+y=2 and 3x-y=1
c. 3x-y=2 and 3x+y=1
d. 3x+y=2 and 3x+y=1

option A. 3x - y = 2 and 3x - y = 1

Step-by-step explanation:

Using the rule of y-intercept which is the value of y when x equals 0

Option A: 3x-y=2 and 3x-y=1

y-intercepts will be ⇒ -2 and -1

Option B: 3x+y=2 and 3x-y=1

y-intercepts will be ⇒ 2 and -1

Option C: 3x-y=2 and 3x+y=1

y-intercepts will be ⇒ -2 and 1

Option D: 3x+y=2 and 3x+y=1

y-intercepts will be ⇒ 2 and 1

Comparing the results with the y-intercepts from the graph

From the graph the system of equation intersects with y-axis, (which mean x=0), at y = -2 , -1

So, the system which is represented by the graph is option A

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.