LALLY MANLLITYONLILULIVE

Slope: -1 intercept: -7.9

frosja888 [35]

Answer:

y = -x - 7.9

Step-by-step explanation:

Given:

m = -1

b = -7.9

y = mx + b

y = -x - 7.9

7 0

2 years ago

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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence

saul85 [17]

For this case we have that by definition, the area of a rectangle is given by:

$A = w * l$

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is $P = 2w + 2l = 24.$

Amy:

$l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6$

Thus, Amy's fence area is: $A = 6 * 6 = 36 \ ft ^ 2$

Zach:

$l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4$

Thus, the area of Zach's fence is: $A = 4 * 8 = 32 \ ft ^ 2$

Answer:

Amy's garden has a greater area

$36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2$ , is $4 \ ft ^ 2$ greater

5 0

3 years ago

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

8 0

3 years ago

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Find the measure of the missing angle. 42°

ella [17]

90° angle

90° - existing 42°

the missing angle is 48°

8 0

1 year ago

Carly buys a gold ring priced at $273.00 if the sale tax is 10 % , how much will carly pay

Damm [24]

Hello!

<h2>Answer:</h2>

Carla will pay $300.30 for the gold ring.

<h2>Explanation:</h2>

Sales tax is added on to the total cost of the item. We need to figure out how much tax is on the ring.

To do that, we must calculate 10% (or 0.10) of $273.00.

273 × 0.10 = 27.3

Now, add the tax to the cost of the ring.

273 + 27.3 = 300.3

3 0

2 years ago

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