Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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Answer:
A = 27π cm² or about 84.8 cm²
Step-by-step explanation:
Area of a full circle is πR²
As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing
A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²
5.7 is 5 7/10 and it cannot be simplified
If you're asking for the measurements, they are...
Length (l) = 4 ft.
Width (w) = 4 ft.
Height (h) = 4 ft.
Answer:
The original value of the car.
Step-by-step explanation:
The 21,500 would be the <em>a </em>value of the function, as it is before the parentheses. The <em>a </em>value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.
