ANSWER
EXPLANATION
The given function is a piecewise defined function.
is the y-value that corresponds to
To determine that y-value, we need to trace from
to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of
This implies that, when
Therefore
See graph.
Answer:
3 roots
Step-by-step explanation:
(9x+7)(4x+1)(3x+4)=0
x=-7/9 or - 1/4 or - 4/3
Answer:
D
Step-by-step explanation:
(2x + 2) - (3x - 1) = 15
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side
4x + 4 - 3x + 1 = 60
x + 5 = 60 ( subtract 5 from both sides )
x = 55
Answer:
- 1 = pentagon
- 2 = diamond
- 3 = square
- 5 = circle
- 6 = rectangle
- 7 = oval
- 8 = triangle
- 9 = hexagon
- 10 = trapezoid
Step-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
Answer:
I think you should divide the number you need to turn into a percentage by the whole :)
Step-by-step explanation:
im not quite sure about this answer, but I really hope this works for what you are trying to do!