<h2>
Answer: x = -6</h2>
<h3>
Step-by-step explanation:</h3>
To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)
<h3>
</h3>
since -4 = (2/3)x [mutiply both sides by 3]
⇒ -4 × 3 = 2x [divide both sides by 2]
⇒ (-12/2) = x [simplify by dividing -12 by 2]
∴ x = -6
Going from 107 to 98 is (minus 9)
going from 98 to 90 is (minus 8)
going from 90 to 83 is (minus 7)
going from 83 to 77 is (minus 6)
following this pattern, the number after 77
is 77 minus 5 = 72
therefore your answer is 72
Answer:
32 256 cubic inches
18.7 cubic feet
Step-by-step explanation:
4 feet = 4 × 12 = 48 inches
8 feet = 8 × 12 = 96 inches
7 inches = 7 ÷ 12 = 0.583 feet
Volume = length × width × height
V = 48 × 96 × 7 = 32 256 cubic inches
V = 4 × 8 × 0.583 = 18.7 cubic feet
Answer:
Step-by-step explanation:
To take the inverse of a function, swap x with y and vice versa. Therefore, the inverse of y = 3^x is x = 3^y. However, because we are being asked for a <em>function</em>, we have to rewrite this equation by isolating y. We do this with logarithms:
Hence the answer.
(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
<u> -49 -49</u>
4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = <u>-56 +/- √(56² - 4(4)(-11))</u>
2(4)
x = <u>-56 +/- √(3136 + 88)</u>
8
x = <u>-56 +/- √(3174)</u>
8
x = <u>-56 +/- 56.34</u>
8
x = -7 +/- 7.0425
x = -7 + 7.70425 x = -7 - 7.70425
x = 0.70425 x = -14.70425
