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asambeis [7]
3 years ago
11

Plz help me to find the empty spaces in these:)

Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

#2: y-intercept=-2

Bottom left graph: Slope:4/2

y-intercept:-2

Equation: y=4/2x-2

Bottom right graph: Slope:-2

y-intercept:8

Equation: y=-2x+8

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?
Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0
3 years ago
Which product is negative​
vovangra [49]

Answer:

4th option because the two negatives will become positive and the 3rd will make it negative again

5 0
3 years ago
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Can someone please answer this, ill give you brainliest Would be very appreciated.
riadik2000 [5.3K]

Answer:

See below ~

Step-by-step explanation:

  1. More revenue would be generated at $5 than $17 because on the graph, when the price is at $5, there is about $3750 in revenue compared to when the price is $17, the revenue is $2500.
  2. The company should sell their product at $10. At this price, the revenue they will make is $5,000.
  3. The domain is the possible intervals in which x lies. Therefore, the domain is : 0 ≤ p ≤ 20.
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UkoKoshka [18]

Answer:

x = 20°

y = 70°

Step-by-step explanation:

the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)

in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°

to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°

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Porter's Diner sold 48 milkshakes last week. 50% of the milkshakes had whipped cream on top. How many milkshakes with whipped cr
barxatty [35]
50% =0.5
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