Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

To be a function, the x values must correspond to one and only one y value.

In the coordinates given, (0.3, 0.6) and (0.3, 0.7) have the same x- value.

That means that they cannot be a function.

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Shelly bought 7 boxes of fish food and 2 packets of cat food. Each box of fish food contained 6 pouches, and each packet of cat

AfilCa [17]

Answer: 34 more pouches

7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

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How many more pouches of fish food than cat food did Shelly buy?

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Circle 1: center (8, 5) and radius 6

PolarNik [594]

We have that
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool
see the attached figure

Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3

to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is
the scale factor is (3/1)