Answer:
x = 6.86
Number of video games Fletcher has = 12.58
Step-by-step explanation:
Let
Number of video games Griffin has = x
Number of video games Tommy has = 3x
Number of video games Fletcher has = 3x - 8
Total number of video games is > 40
Griffin + Tommy + Fletcher > 40
x + 3x + (3x - 8) > 40
4x + 3x - 8 > 40
7x > 40 + 8
7x > 48
x > 48 / 7
x > 6.86
Number of video games Fletcher has = 3x - 8
= 3(6.86) - 8
= 20.58 - 8
= 12.58
Answer:
The answer is 77.7777 or 77.8 if to round to tenth.
Step-by-step explanation:
The two dinosaurs probably crossed paths at estimated coordinates (- 1, 2.5).
To find where the two equations actually intersect, set them equal to each other.
- 1/2x + 3 = 2x + 4
Subtract 4 from both sides, and add 1/2x to both sides to combine like terms.
2 1/2x = - 1 --> 5/2x = - 1
Multiply by 2/5 on both sides to isolate x
x = - 1(2/5)
x = - 2/5
Now plug in to either of the two equations. I used 2x + 4
- 1/2(- 2/5) + 3 = y
1/5 + 3 = y
y = 3 1/5
The actual coordinates where the dinosaurs crossed paths was (- 2/5, 3 and 1/5).
My original estimate was (- 1, 2 1/2) because based on the graph drawn above the point of interest (the intersection) appears to be below the third unit on the y-axis as well as in between the negative two unit and origin on the x-axis. My estimate was also off because the x-axis is counting by twos which does not necessarily allow for an accurate estimate strictly based on the naked eye.
Step-by-step explanation:
The point-slope form of a line is given by
where 
is the point on the line. So we can write the equation as
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
