Answer:
x ≥ - 2.
Step-by-step explanation:
We have to solve the compound inequality.
It is 15 ≥ - 3x or x ≥ - 2
Now, from the first part we have
15 ≥ -3x
⇒ 
⇒ - 5 ≤ x
⇒ x ≥ - 5 ....... (1)
And the second part is x ≥ -2 ......... (2)
Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.
Hence, this is the solution. (Answer)
Answer:
x = 4, -10
Step-by-step explanation:
Find the zeros of the equations.
Solve the equation:
x^2 + 6x = 40
Subtract -40 from both sides.
x^2 + 6x - 40 = 0
Factor the equation.
(x - 4)(x + 10)
Solve for x with the given information by equaling it to 0.
x - 4 = 0
Add 4 to both sides
x = 4
x + 10 = 0
Subtract 10 from both sides
x = -10
This means that our x values are:
x = 4, -10
The number of users on new social media site increase as 21, 25, 30, 36,
The average rate of change is given by 5.
The function f (t) = 12 (1.2) ^t show how the rate of users increases in weeks.
<h3>What is Average?</h3>
Average of the values is the ratio of total sum of values to the number of values.
Here, f (t) = 12 (1.2) ^t is defined in the range of (3, 6)
So the value of the function in its range is given by
1) f (3) = 12 (1.2) ^3
= 21
2) f (4) = 12 (1.2) ^4
= 25
3) f (5) = 12 (1.2) ^5
= 30
4) f (6) = 12 (1.2) ^6
= 36
Now the average rate of change = sum of all difference in values at every week / max. Difference in interval of range(3,6)
= f(6)-f(3)/6-3
= 15/3
= 5
Thus required average change of rate is 5.
Learn more about average here:
brainly.com/question/24057012
#SPJ1
First we need to know how many meters that there are in a yard which is 1meter=1.09361 yards so now we need to find out how many meters that there are in 15 yards which is 13.716 now we take that times 2 because she can make 2 out of 1 meter which is 27.432 so the seamstress here can make roughly 27 aprons from 15 yards of fabric.
Enjoy!=)
Answer:
143°
Step-by-step explanation:
R is the second letter of the name QRSTU, so its corresponding angle in the congruent figure is the second letter of DEFGH. That letter is E, so ...
∠R ≅ ∠E = 143°
