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babunello [35]
3 years ago
8

How do we check if a solution is extraneous? Use these equations as examples to help you explain:

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0
Multiplying both sides of a rational equation by a variable expression introduces the possibility of extraneous solutions. Therefore, we must check the solutions against the set of restrictions. If a solution is a restriction, then it is not part of the domain and is extraneous.
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A line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = neg
Kruka [31]

Answer:

y = -4x + 8

Step-by-step explanation:

The equation of a line is written in slope-intercept form : y = mx+b

m is the slope

We are given two points, so let's find the slope of the line first:

Slope = ΔY/ΔX = 4 - (-4) / 1 - 3 = 8 / -2 = -4

The slope is -4

So far, our equation is y = -4x + b

We can input a point's x and y value to find b, the y-intercept

Let's use point (1, 4)

4 = -4(1) + b

4 = -4 + b

b = 4 + 4

b = 8

The equation is y = -4x + 8

-Chetan K

8 0
3 years ago
Read 2 more answers
Please tell me this, please! ASAP!
PtichkaEL [24]

Answer:

a)  C = 250 + 1.25n

b) 1800

c) 300

Step-by-step explanation:

a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C

b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800

c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300

8 0
2 years ago
What are the odds of picking an "a" in the word Georgia?
katen-ka-za [31]
1/7 chance because there are 7 letters in the word Georgia
8 0
3 years ago
Read 2 more answers
System by elimination <br><br>2x - y = -3 <br>-2x - 8y = 12​
topjm [15]

Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

7 0
2 years ago
Calculate Income Elasticity of Demand Question Suppose that when the price of cream cheese rises by 10%, the quantity of bagels
inn [45]

Answer:

eY is positive +0.1 therefore bagels are a normal good.

Step-by-step explanation:

Given data:

when, 10% rise in cheese price,  3% fall in bagels quantity observed

when, 10% rise in income,  1% fall in bagels quantity observed

from formula for cross price elasticity of demand, determine e_{AB}

e_{AB} = \frac{(−3\%}{(10\%)} = −0.3.

As,  eAB is negative, bagels $ cream cheese are complements.

By formula for income elasticity of demand,

we find thateY= \frac{(+1\%)}{(10\%)} = +0.1.

Since eYis positive, bagels are a normal good.

4 0
3 years ago
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