If the temperature of the egg is x, then if x is below 23 (x<23), they rarely hatch. If x is greater than 33 (x>33), they also rarely hatch. For them to not rarely hatch, then x must be not below 23 (greater than or equal to) and not above 33 (less than or equal to), resulting in our compound equality being
23≤x≤33 and our pair of simple inequalities being x≥23 and x≤33.
Answer:
A) -3/4
B) 15 more minutes
C) 80 minutes
Step-by-step explanation:
<span>Angle T = Angle C, let them equal x
So x + x + 140 = 180
2x = 40
x = 20
So Angle T = 20 degrees </span>
Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
It is the first equation.
Given, Another equation is:
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em>
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25