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vazorg [7]
3 years ago
13

Leslie weighs her marbles in a jar, and the scale reads 474 grams. The empty jar weighs 439 grams. Each marble weighs 5 grams. H

ow many marbles are in the jar?
Mathematics
1 answer:
elena55 [62]3 years ago
8 0
474-439 is 35 35/5 is 7 so 7 marbles
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ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=-5%2B78%2B%28-32%29" id="TexFormula1" title="-5+78+(-32)" alt="-5+78+(-32)" align="absmiddle"
AysviL [449]
Adding a negative is same as subtraction
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3 years ago
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Is this a real question

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3 years ago
For f(x) = 2x+31-5, name the type of function and describe each of the three transformations from
MAVERICK [17]

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