Circle the possible values that satisfy each inequality!
1 answer:
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Answer:
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
2) Multiply both sides by 3.
Simplify 4 × 3 to 12.
4) Add 10 to both sides.
5) Simplify -12 + 10 to -2.
So, therefor, the answer is, x = -2.
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Since multiplication is commutative, we can rearrange the problem:
Using the properties of exponents, we have:
Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
Using the properties of exponents, we have:
Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents: