Area is calculated as length times width.
A = lw
Is the area and length are known, then you can plug in their values and isolate w to find the width.
I find it easiest to convert to decimals rather than using mixed numbers.
<span>8 ¾ = 8.75 (area)
</span><span>3 ½ = 3.5 (length)
Now let's plug in the values.
8.75 = 3.5w
To isolate w, just divide both sides by 3.5.
8.75 / 3.5 = 2.5
This means w = 2.5.
So the width is 2.5 feet.
Now convert the decimal back to a mixed number.
2.5 = 2 </span>½
So the answer to this question is that the width is 2.5, or 2 ½.
Hope this helps!
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
Answer:
1.) Arithmetic sequences are modeled with linear functions because it is a linear series
2.) Geometric sequences are modeled with exponential functions because their value increases exponentially
Step-by-step explanation:
1.) Arithmetic sequences are linear functions. While the n-value increases by a constant value of one, the f (n) value increases by a constant value of d, the common difference.
Arithmetic Sequence is one where you add (or subtract) the same value to get from one term to the next.
2.) An exponential function is obtained from a geometric sequence by replacing the counting integer n by the real variable x. Geometric sequences (with common ratio not equal to −1, 1 or 0) show exponential growth or exponential decay, as opposed to the linear growth (or decline) of an arithmetic progression such as 4, 15, 26, 37, 48, … (with common difference 11).
This shows that Geometric series grow or decays (reduces) exponentially; this is due to their common ratio (r)
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