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4 years ago

For each table of values, select weather the table represents a linear or exponential relationship

Mathematics

1 answer:

jolli1 [7]4 years ago

8 0

Linear would be if the change between the x and y's are similar:

Function A:

9.252 - 6.083 = 3.169

14.07 - 9.252 = 4.818

21.4 - 14.07 = 7.33

The differences are different so it is exponential.

Function B

14-7 = 7

21 - 14 = 7

28 - 21 = 7

The differences are the same so this is linear.

Function C

4-16 = -12

1-4 = -3

0.25 - 1 = -0.75

The differences are different so this is exponential.

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

7 0

3 years ago

yler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, w

Sidana [21]

To get which design would have maximum area we need to evaluate the area for Tyler's design. Given that the design is square, let the length= xft, width=(120-x)
thus:
area will be:
P(x)=x(120-x)
P(x)=120x-x²
For maximum area P'(x)=0
P'(x)=120-2x=0
thus
x=60 ft
thus for maximum area x=60 ft
thus the area will be:
Area=60×60=3600 ft²
Thus we conclude that Tyler's design is the largest. Thus:
the answer is:
Tyler’s design would give the larger garden because the area would be 3,600 ft2.

4 0

3 years ago

4 + 2⁵ • (8 – 6) + 3³?

zvonat [6]

Answer:

Step-by-step explanation:

$4 + {2}^{5} \times (8 - 6) + {3}^{3} \\ 4 + 32 \times (2) + 27 \\ 4 + 64 + 27 \\ 68 + 27 = 95$