Answer:
if youre answer has to be a whole number it would be 3 otherwise it would be x<4 ( so anything less than 4 )
Step-by-step explanation:
so because we are trying to find which company is less, we need to set up in inequality.
so first lets do company A
because 15 is our reoccuring fee, its going to be the coeifficient
so the equation would be
A - 15x + 20
now lets do company B
because it only 20 every month we dont need to have a constant which means the equation for B would be
B - 20x
so lets put it all together
15x + 20 > 20x ( remember our B side has to be less )
now lets solve it
20 > 5x
we know that if x = 4 then the two would be equal, which means our answer would have to be 3 months.
now always check your work.
15 (3) + 20 = 65
20(3) = 60
Answer:
$16
Step-by-step explanation:
Looking at the Price for 5 Items (10 dollars), That means the Price Per Item Is 2 dollars. Now we know the Cost per Item, We need to multiply the Cost per item by 8 (2*8) making it 16.
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one
1. y =sinx: False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx: True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x: False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1
Answer:
Refer to my picture. Reply me if you understood :)