Answer:
7 1-yard rolls
Step-by-step explanation:
1 yard = 36 inches.
6(42 in) = 252 inches.
252 in/36 in = 7
Therefore, 7 1-yard rolls are needed.
Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Answer:
Now, 3x 2+x+5⩾0
This is because b² −4ac=1−4×5×3
=−59 (roots are imaginary)
3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0
2x²+7x−4=0
2x²+8x−x−4=0
2x(x+4)−1(x+4)=0
(2x−1)(x+4)=0
x= 1/2 and−4 but x≥3
∴ No solution.
lol hehehe
Answer: 1 club - Club 2
Step-by-step explanation:
You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.
Club 1 Club 2 Club 3
= (432 - 216) / 12 = (390 - 210) / 12 = (504 - 252) / 12
= $18 = $15 = $21
Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.
Club 1; Club 2; Club 3
= 18 * 6 = 15 * 6 = 21 * 6
= $108 = $90 = $126
<em>Same as total cost at </em><u><em> Joining fee of $30</em></u><em>; </em> <em>No joining fee as </em>
<em>6 months so no joining 120 - 90 = $30 this is the same </em>
<em>fee. as total cost at 6 </em>
<em> months.</em>
Answer:
<DFA
Step-by-step explanation:
When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary