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Anastaziya [24]
3 years ago
6

Which of the following is an extraneous solution of square root -3x-2=x+2?

Mathematics
2 answers:
timofeeve [1]3 years ago
6 0
Hello,

Answer A (x=-6 is an extraneous solution)

√(-3x-2)=x+2
==>-3x-2>=0
==>x<= -2/3

So -3x-2=(x+2)²
==>-3x-2=x²+4x+4
==>x²+7x+6=0
==> (x=-6) or (x=-1)

if x=-6 then
√(-3*(-6)-2)=√16=4
-6+2=-4
False 4≠-4

if x=-1
√(-3*(-1)-2)=√1=1
-1+2=1
ok..


Reika [66]3 years ago
6 0

Answer:

A. x=-6

Step-by-step explanation:

i got it right on edge

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Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to
dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} =  (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500})  = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

4 0
2 years ago
Answer this question pls!!
Dvinal [7]

Answer:

3.5

Step-by-step explanation:

5 0
3 years ago
Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.

Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

8 0
3 years ago
the width of a rectangle is 3 inches, and the area is 88 square inches. What are the length and width of the rectangle
inessss [21]

Answer:

length is 29.3, width is 3

Step-by-step explanation:

A= L×W

and if A = 88 and W is 3

88= L×3

Divide

88/3

legth =29.3

8 0
3 years ago
I don't know please help??
VikaD [51]
2%
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8 0
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