Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>throughout</em><em>.</em>
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
Answer:
- y-intercept = 5
- common ratio = 1/2
Step-by-step explanation:
The y-intercept and the common ratio of an exponential function can be read from the equation. The form of the equation is ...
y = a·b^x
where 'a' is the y-intercept, and 'b' is the common ratio.
You have ...
y = 5·(1/2)^x
Comparing this to the above form, you can see that ...
y-intercept = 5
common ratio = 1/2
Answer:
36 animals
Step-by-step explanation:
g = goats = 1/3 h where h = herd
s = sheep = g + 12 = 1/3 h + 12 because g = 1/3 h
added together = h
1/3 h + 1/3h+12 = h
2/3 h + 12 = h
12 = 1/3 h
36 = h
Answer:
Computing the sum of $5.89 and $1.45 we get: $7.34
Step-by-step explanation:
We need to explain, how can we compute the sum of $5.89 and $1.45?
Computing the sums of dollar amounts is same as computing the sum of simple decimal expressions. Each value will be added to its corresponding values and we will get the answer.
Computing the sum of $5.89 and $1.45
So, we will start adding from right side, 9 will be added with 5 and we get 14, 1 will be given carry and 8 will be added by 4 and add the carry we get 13, 1 will be given carry and 1 will be added by 5 and add the carry we get 7
So, Computing the sum of $5.89 and $1.45 we get: $7.34
Answer:
I believe its is 90.6 for plato if i remember correctly
Step-by-step explanation: