Answer:
a. The constant = 45
b. The unit rate is 45 miles per hour
c. d = 45t
Step-by-step explanation:
a. ∵ d ∝ t
∴ d = kt
∵ d = 90 at t = 2
∴ 90 = k(2)
∴ k = 90 ÷ 2 = 45
∴ The constant of proportionality is 45
b. ∵ k = d(miles) ÷ t(hours) = 45
∴ The unit rate is 45 miles per hour
c. The equation is ⇒ d = 45t
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post. would you please post just one question at a time to avoid this.
I'll focus on your second question only: Solve <span>3 + |2x - 4| = 15.
Subtr. 3 from both sides. Result: |2x - 4| = 12
Divide all terms by 2, to reduce: |x - 2| = 6
Case 1: x-2 is already +, so we don't need | |:
x - 2 = 6 => x = 8 (first answer)
Case 2: x-2 is negative, so |2x-4| = -(2x-4) = 6
Then -2x + 8 = 6. Subtr. 8 from both sides: -2x = -2
Div both sides by -2: x = 1 (second answer)
Be sure to check these results by subst. them into the original equation.
Please post your other questions separately. Thanks and good luck!
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3.2 * 10^-4 = 0.00032
So the number is less than 1.
The effect the negative exponent has is.....well...here's an example
if the exponent was a positive it would be 3.2 *10^4 = 32,000
If it was positive you would move the decimal point to the right (for this equation) 4 times... if it was negative you would move it the other way.
