Answer:
12×<u>3</u>
4
= 9
there 9 children had ana apple
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
0+1+9, 0+2+8, 0+3+7, 0+4+6, 0+5+5 gives 27 ways including permutations.
1+1+8, 1+2+7, 1+3+6, 1+4+5 gives 21 ways.
2+2+6, 2+3+5, 2+4+4 gives 12 ways
3+3+4 gives 3 ways
With permutations this gives 27+21+12+3=63 ways.
I got 168 because if you multiply 8x12 then you would get 96 and on the sides u need to multiply 3x12
Answer: x = 5, y = -1
<u>Step-by-step explanation:</u>
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
<em>I chose to eliminate y.</em> The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> <u> 6x - 10y</u> = <u>40 </u>
26x = 130
<u> ÷26 </u> <u>÷26 </u>
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
<u> -20 </u> <u>-20 </u>
2y = -2
<u> ÷2 </u> <u> ÷2 </u>
y = -1