Given
Between -40°C and 125°C
°C = 5/9 * (°F-32)
°C ÷ 5/9 = °F - 32
°C * 9/5 + 32 = °F
°F = -40°C * 9/5 + 32 = -360/5 + 32 = -72 + 32 = -40°F
°F = 125°C * 9/5 + 32 = 1125/5 + 32 = 225 + 32 = 257°F
<span>−40 < 5 over 9 (F − 32) < 125; −40 < F < 257</span>
Answer:
The total charges for the two checking accounts will be the same after 6 checks written.
Step-by-step explanation:
Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:
6 + 0.25X = Y
4.5 + 0.5X = Y
6 + 0.25x5 = Y
4.5 + 0.5x5 = Y
6 + 1.25 = Y = 7.25
4.5 + 2.50 = 7
6 + 0.25x6 = Y
4.5 + 0.5x6 = Y
6 + 1.50 = Y = 7.50
4.5 + 3 = 7.50
Therefore, the total charges for the two checking accounts will be the same after 6 checks written.
F(3)=-4(3)+3=-9
g(3)=3(3)+4=13
f(3).g(3)=-9*13=-117
Answer:
1. y = (1/6)(x +5)^2 -4.5
2. y = (-1/20)(x -10)^2 +1
Step-by-step explanation:
For focus (p, q) and directrix y=r, the equation is ...
y = 1/(2(q-r))·(x -p)^2 +(q+r)/2
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1. For (p, q) = (-5, -3) and r = -6, the equation is ...
y = 1/(2(-3-(-6))(x -(-5))^2 +(-3-6)/2
y = 1/6(x +5)^2 -4.5
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2. for (p, q) = (10, -4) and r = 6, the equation is ...
y = 1/(2(-4-6))(x -10)^2 +(-4+6)/2
y = (-1/20)(x -10)^2 +1
In obtaining the median of the data <span> set we have to arrange the data from the lowest to the highest in the pop quiz</span>
110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198.
<span>After arranging it, locate the number that is situated in the middle. Since the number of data is even(22) , check the data that is in between the 11th and 12th number, which is 174 and 175, the answer would be 174.5.</span>