Answer:
73
Step-by-step explanation:
Givens
d = 3
Equation 7d^2 + 10 = ?
Solution
7*3*3 + 10
7*9 + 10
63 + 10 = 73
Remark.The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x
CommentThe red line's y intercept is (0,1)
The blue line's y intercept is (0,5)
WhyIf the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y = 5*(1/3)^0 = 5*1 = 5
In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x
If you have choices, could you please list them? I may be giving you the right answer but not in the form required.
2x=y where 2 is dollars per tomatoe, x is amount of pounds of tomatoes, and y is amount of money spent in total. say you got 3 pounds of tomatoes; the equation would be 2(3)=y. y=6. Hope I helped!
3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
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