Answer:
$36
Step-by-step explanation:
22+14=36
 
        
             
        
        
        
Answer:
x = 1 and y = 2
Step-by-step explanation:
Let apples are represented by x
and let oranges are represented by y
You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:
5x + 2y = 9
Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.
This line in equation format can be written as:
5x + 6y = 17
Now we have two equations:
5x + 2y = 9 -> eq (i)
5x + 6y = 17 -> eq(ii)
We can solve these equations to find the value of x and y.
Subtracting eq(i) from eq(ii)
5x + 6y = 17
5x + 2y = 9
-     -         -
_________
0+4y= 8
=> 4y = 8
y= 8/4
y = 2
Now, putting value of y in eq (i)
5x + 2y = 9
5x +2(2) = 9
5x +4 = 9
5x = 9-4
5x = 5
x = 1
so, x = 1 and y = 2
 
        
             
        
        
        
Answer:
Differentiation will give you the gradient for the tangent at any point, and you use the product rule whenever a function can be thought of as two functions multiplied together.
If 
f
(
x
)
=
g
(
x
)
×
h
(
x
)
 
then 
f
'
(
x
)
=
g
'
(
x
)
h
(
x
)
+
g
(
x
)
h
'
(
x
)
 
so if 
y
=
x
×
sin
x
 
then 
d
y
d
x
=
1
×
sin
x
+
x
×
cos
x
=
sin
x
+
x
cos
x
 
We know that 
x
=
π
2
 , so the gradient is
m
=
sin
(
π
2
)
+
π
2
cos
(
π
2
)
=
1
+
π
2
×
0
=
1
 
Therefore, we can say that
y
=
m
x
+
c
 
y
=
(
1
)
x
+
c
 
y
=
x
+
c
 
So all we really need to find now is the value for 
c
 , the 
y
 intercept. We do this by working out a point 
(
x
,
y
)
 on the graph. We are already given that 
x
=
π
2
 , so
y
=
x
sin
x
=
π
2
sin
(
π
2
)
=
π
2
×
1
=
π
2
 
∴
 
(
x
,
y
)
=
(
π
2
,
π
2
)
 
Now we substitute this into the equation we already have for the tangent,
y
=
x
+
c
,
(
x
,
y
)
=
(
π
2
,
π
2
)
 
π
2
=
π
2
+
c
 
c
=
π
2
−
π
2
=
0
 
∴
 
y
=
x
+
c
=
x
+
(
0
)
=
x
 
which means the tangent to the curve 
y
=
x
sin
x
 at 
(
π
2
,
π
2
)
 is simply 
y
=
x
 .
 
        
             
        
        
        
Answer:
i can't see it
Step-by-step explanation:
 
        
             
        
        
        
23.) 21 hrs at $ 11 per hr = (21 * 11) = 231....and u received 91% of ur wages...
       0.91 (231) = 210.21 
       fraction u got : 210.21 / 231 = 0.91 = 91/100 <== I am not 100% sure on 
       this. I might be making this harder then it looks....u r going to get 210.31 take home pay.....or 91% which in fraction form is 91/100
26B.  17/10 = 85/ x
          cross multiply
          17x = 850
          x = 850/17
          x = 50....50 liters of oil <==
26C. 12:9...added = 21
         12/21(4200) = 50400/21 = 2400 <== higher cost receives 2400
          9/21(4200) = 37800/21 = 1800