Answer:
The cost of an orange is 21.5
Step-by-step explanation:
let orange be O and lemon be L
it becomes simultaneous Equations
2O+3L=64----1. x3
3O+4L=89----2. x2
6O+12L=192
6O+8L=178
subtracting
4L=14
L=7
put 7 for L in equ 1
2O+3(7)=64
2O+21=64
2O=64-21
2O=43
O=21.5
<span>1)
-4x-8y=16
8x+16y=-16
Multiply fhe first equation by 2:
=> -8x - 16y = 32
Add this new equation with previous second equation
0 = 16, which means that the system has no solutions.
2)
4x-10y=-14
3x+8y=-26
</span>
Multiply the first equation by 3 and the second by - 4:
12x - 30y = - 42
-12x - 32y = 104
Add the two new equations
-------------------------
0 - 62y = 62
=> y = -1
replacing in the first equation:
=> <span>
4x-10(-1) = -14</span>
=> 4x + 10 = - 14
=> 4x = - 14 - 10
=> 4x = - 24
=> x = - 24 / 4
=> x = - 6
Answer: x = - 6 and y = - 1
Answer:
<em>y = 12.3 cm</em>
Step-by-step explanation:
This is a right triangle, so we can use sin,cos, or tan to solve this.
First, with respect to the angle 35 degrees, we can say "y" is the "adjacent side".
Also, the hypotenuse is given as 15.
<em>Which trig ratio relates adjacent and hypotenuse? That is COS. So we can write and solve the equation below:</em>
<em>
</em>
<em />
<em>Rounded to 1 decimal place (nearest tenth) , </em>
<em>y = 12.3 cm</em>
On the face of it, [5.3%, 8.65%].
_____
If you mean that up to 8.65% may be added to the base 5.3% rate, then the total can be in the range [5.3%, 13.95%].
Answer:
A. y ≤ 1
Step-by-step explanation:
according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1
