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monitta
3 years ago
12

Consider the graph shown. Determine if the graph shows two quantities that vary directly. If possible, determine the constant of

proportionality. Explain your reasoning.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

 the quantities do NOT vary directly

Step-by-step explanation:

A graph showing a proportional relationship is a straight line through the origin. This graph goes through (0, 100), so does NOT show a proportional relationship. y does NOT vary directly with x.

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Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
stepan [7]

Answer:   c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

=0.539\times100=53.9\text{ cm}   [∵ 1 m = 100 cm]             (1)

The circumference of the ash tree= 0.509 yards

=0.509\times3\text{ feet}   [∵ 1 yard = 3 feet]

=0.509\times3\times 30.48\text{ cm}  [∵ 1 foot = 30.48 cm]

=46.54296\approx46.54\text{ cm}        (2)

The circumference of the elm tree = 6281.70 millimeters

=\dfrac{6281.70}{10}=628.17\text{ cm}          (3)

The circumference of the poplar tree = 0.000385 miles

=0.000385 \times5280\text{ feet}   [∵ 1 mile = 5280 feet]

=0.000385 \times5280\times30.48\text{ feet}  [∵ 1 foot = 30.48 cm]

=61.959744\approx61.96\ \text{ cm}              (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

5 0
3 years ago
Solve x^2 +14x=15 by completing the square
ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form x^{2}+2ax+a^{2}=(x+a)^{2}.

This results in x^{2} + 14x + 7^{2} = 15 + 7^{2}.

Next, we <u>simplify the equation</u> to get x^{2} +14x+7^{2} = 64.

<u>Factoring </u>the left side gives us (x+7)^{2} = 64.

Finally we <u>solve the equations</u>: x+7=\sqrt{64} and x+7=-\sqrt{64}.

This gives us  x=1, and x=-15

6 0
3 years ago
Read 2 more answers
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Make a t diagram between two cars
5 0
3 years ago
Y+4=-2(x-1) slope intercept form
lys-0071 [83]
To convert this equation into slope intercept form simply distribute the number of -2 and put it in

Y = mx + b form

Y + 4 = -2(X-1)
Y + 4 = -2x + 2
Y = -2X + 2 - 4

Y = -2X - 2

I believe this is the solution in slope intercept form.
6 0
3 years ago
A car is traveling at a rate of 81 kilometers per hour. What is the cars rate in kilometers per minute. How many kilometers will
mario62 [17]
If the car can travel 81 km in one hour, (60 minutes) that means that it can travel 81/60 in a minute. The result is 1.35, and this times 15 will give you the amount the car can travel in 15 minutes. The answer is 20.25km
8 0
3 years ago
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