Answer:
Step-by-stFind the slope of the line that passes through the points shown in the table.
The slope of the line that passes through the points in the table is
.ep explanation:
Fisrt let us define the variableslet y be the total cost melinda paysx be the number of games she playedb be the cost of shoe rentalm is the cost of one game
y = mx + b
y = 4(3) + by = 12 + b
In total there are 5 kids so
5÷3.5=1.4
(rounded)
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<span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2
</span><span> x = 13/5 = 2.600
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x^2-23*x-(-26)=0
Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0
</span><span> Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>
The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.
<span><span>
-130
+
-1
=
-131
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<span>
-65
+
-2
=
-67
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<span>
-26
+
-5
=
-31
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<span>
-13
+
-10
=
-23
That's it</span></span>