Answer:
It is C
Step-by-step explanation:
hope it help
Answer:
61 is the rate at which the population changes every year
Step-by-step explanation:
Given
Required
Interpret 61
A linear equation has the form:
or
Where m is the rate
By comparison:
Hence, 61 represents the rate at which the population changes yearly.
<em>The negative sign implies that the populatiin reduces</em>
note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
To solve this problem, you must follow the proccedure below:
1. First, you must calculate the Constant of proportionality "k".
2. The problem says that t<span>he number of days needed to remodel a house varies inversely as the number of people working on the job. Then:
Number of days=K/Number of people
K=(</span>Number of days)(Number of people)
18 weeks=135 days
K=135x4
K=540
3. Now, you have:
Number of days=540/Number of people
8 weeks=60 days
Number of people=540/60
Number of people=9
<span>
How many people are needed?
The answer is: 9</span>
Answer:
142°
Step-by-step explanation:
Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon
Since this polygon has 5 sides, n= 5.
Sum of interior angles
= (5 -2) ×180°
= 3 ×180°
= 540°
Sum of interior angles= 540°
5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540
Grouping like terms together:
5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540
Simplify:
25x +40= 540
Bringing all constants to one side of the equation:
25x= 540 -40
25x= 500
Divide both sides by 25:
x= 500 ÷25
x= 20
The angle (7x +2)° is the largest interior angle in this polygon.
7x +2
= 7(20) +2
= 142
Thus, the largest interior angle is 142°.
<u>Check</u><u>:</u>
5x +8= 5(20) +8= 108
5x +10= 5(20) +10= 110
6x +15= 6(20) +15= 135
2x +5= 2(20) +5= 45
The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.