The drill team is buying new uniforms. The table shows y, the total cost in dollars, and x, the number of uniforms purchased.

Mathematics

1 answer:

Ierofanga [76]3 years ago

8 0

Answer:

A: Yes, the relationship is linear.

Step-by-step explanation:

1=60, so we can assume that 3=180 because 60x3=180. we can use this strategy for the rest of the data and confirm that the line has a consistent slope of 60/1.

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The greatest common factor is the biggest number taken from the values.

Q1. The answer is A. 5y^6

$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
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$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
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_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
_____________________________________________________
→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________

→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
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Answer:

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