1. A.
x parrot fish + y triggerfish = 320 total fish.
y = 7x shows that there are 7 times as many triggerfish.
2. C
x + y shows a total score of 425.
y = 2x - 70 shows that Michael's score, y, is 70 less (minus) than twice Kathryn's
3. write two equations
x + y = 27 total feet
2x + 3 = y
Substitute 2x + 3 for y in the first equation
x + (2x + 3) = 27
3x + 3 = 27
3x = 24
x = 8
Substitute 8 in to either equation to find the other length.
8 + y = 27
y = 19
The shorter piece is 8 and the longer piece is 19
4. x + y = 3200 people -> y = 3200-x
8x + 12y = 33,040 dollars
8x + 12(3200 - x) = 33040
8x + 38400 - 12x = 33040
-4x = -5360
x = 1340 (1340 children)
1340 + y = 3200
y = 1860 adults
5. I don't think the numbers for this were put in correctly because I get a decimal and a negative number when I solve for it but hopefully if you do get the correct cost/amount of coins you will understand this well enough to do it on your own. Hope I helped!
Answer:
B, C, E
Step-by-step explanation:
Answer choice A):
$300 × = $75
* This answer choice represents the calculation of discount only and not the final selling price of the bicycle.
Answer choice B):
$300 × = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
Answer choice C)
$300 × (1 - ) = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
Answer choice D):
$300 - 1/4
*This answer choice shows an incorrect equation which neither represents the calculation of the discount nor the final selling price of the bicycle.
Answer choice E):
$300 - × $300
Applying the rule of PEMDAS,
We start with division; 1 ÷ 4 = 0.25
Then we go to multiplication; 0.25 × $300 = $75
Finally we do the subtraction; $300 - $75 = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Step-by-step explanation:
11.42
The Answer Is D
F(x)=2-3x
F(-4)=2-3(-4)
F(-4)=2+12
F(-4)=14
