Answer:
- y = 2x + 3
- y = -6x
- y = -x + 2
- y = 2x - 7
Step-by-step explanation:
<u>Slope-intercept form:</u>
<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>
<u>Slope</u>
33.
- m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
- b = 3 as per table (0, 3)
34.
- m = (0-12)/(0 - (-2)) = -12/2 = -6
- b = 0, as per table (0, 0)
35.
- m = (2 - (-2))/(0 - 4) = 4/-4 = -1
- b = 2, as per table (0, 2)
36.
- m = (-5 - (-1))/ (1 -3) = -4/-2 = 2
Using point (3, -1)
- -1 = 2*3 + b
- b= -1 - 6= - 7
Answer:
4x + 5 = 101
Step-by-step explanation:
<u>Step 1: Determine how much money both have</u>
Aylen: x
Rich: 5 + 3x
<u>Step 2: Write an equation and solve</u>
Aylen + Rich = 101
x + 5 + 3x = 101
<u>Step 3: Solve the equation</u>
x + 5 + 3x = 101
4x = 96
x = 24
Step 4: Determine how much money does Aylan and Rich have
Aylan has $24
Rich has 5 + 3(24) = $77
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The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M
<h3>Molarity of a solution</h3>
From the question, we are to determine the molarity of the resulting solution
From the given information,
Number of moles = 5.99 × 10⁻⁶ mol
Volume = 1.50 × 10⁻² L
Using the formula,
Molarity = Number moles / Volume
∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
Molarity = 3.99 × 10⁻⁴ M
Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M
Learn more on Calculating molarity here: brainly.com/question/23051191
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Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
Hence, after 8 days, the amount of bacteria is given by:
More can be learned about exponential functions at brainly.com/question/25537936
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