A word to the wise: It's <span> f(x)=125(0.9)^x, where ^ represents exponentiation.
In this case the ave. value over the interval [11, 15] is
125(0.9)^15 - 125(0.9)^11
------------------------------------- = (125/4) [ 0.9^15 - 0.9^11)
15 - 11 = (31.25) [ 0.2059 - 0.3138 ] = a negative result
= (31.25)(-0.1079) = -3.372 (av. r. of c.
over the interval [11,15] )
Do the same thing for the time interval [1,5]. Then compare the two rates of change.</span>
() = Fraction
Answer:
1. x=
−(3
/5
y)+
(23
/5)
2. x=−2y+6
Step-by-step explanation:
Let's solve for x.
5x+3y=23
Step 1: Add -3y to both sides.
5x+3y+−3y=23+−3y
5x=−3y+23
Step 2: Divide both sides by 5.
5x
/5
=
−((3y+23)
/5)
x=
−(3
/5
y)+
(23
/5)
------------------------------------------------
Let's solve for x.
2x+4y=12
Step 1: Add -4y to both sides.
2x+4y+−4y=12+−4y
2x=−4y+12
Step 2: Divide both sides by 2.
(2x
/2
)=
−((4y+12)
/2)
x=−2y+6
Hope it helped!
1. 2x³ - 11x² + 13x - 21 ÷ x - 3
x - 3 = 0 ⇒ x = 3
3 | 2 -11 13 -21
<u>| ↓ 6 -15 -6</u>
2 -5 -2 -27
1. Answer: 2x² - 5x - 2 - 
*************************************************************
2. 3x³ + 7x² - 13x + 10 ÷ x + 2
x + 2 = 0 ⇒ x = -2
-2 | 3 7 -13 10
<u>| ↓ -6 -2 30</u>
3 1 -15 40
2. Answer: 3x² + x - 15 + 
3. 2x³ + 13x² - 21x + 9 ÷ x - 1
x - 1 = 0 ⇒ x = 1
1 | 2 13 -21 9
<u>| ↓ 2 15 -6</u>
2 15 -6 3
3. Answer: 2x² + 15x - 6 + 
4. 7x³ + 0x² - 8x + 16 ÷ x - 2
x - 2 = 0 ⇒ x = 2
2 | 7 0 -8 16
<u>| ↓ 14 28 40</u>
7 14 20 56
4. Answer: 7x² + 14x + 20 + 
5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4
x - 4 = 0 ⇒ x = 4
4 | 8 -14 -71 -10 24
<u>| ↓ 32 72 4 -24 </u>
8 18 1 -6 0
5. Answer: 8x³ + 18x² + x - 6
Answer:
9. B, C, D
10. A, D, E
Step-by-step explanation:
9. A. Students who bring lunch do not represent cafeteria purchases.
B. - D. Are randomized.
10. A. 1/4 of 50 is 12.5. about equal to 12
B. 12% of 50 is 6. not equal to 12
C. 12 ÷ 50 = 24. 3,000 × 0.24 = 720. not less than 500
D. (see above work) 720 = 720
E. 3,000 - 720 = 2,280. more than 2,000
Answer:75
Step-by-step explanation: 50 + 25
