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Vlad1618 [11]
2 years ago
7

Let f(x,y)=x²-3xy-y² Compute f(5,0) and f(5,-3).

Mathematics
1 answer:
cupoosta [38]2 years ago
8 0

Answer:

f(5, 0) = 25

f(5, -3) = 61

Step-by-step explanation:

f(x, y) = x² - 3xy - y²

⇒ f(5, 0) = (5)² - 3(5)(0) - (0)²

              = 25 - 0 - 0

              = 25

⇒ f(5, -3) = (5)² - 3(5)(-3) - (-3)²

              = 25 - 15(-3) - 9

              = 25 + 45 - 9

              = 61

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Juli2301 [7.4K]

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

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The answer is 22K/cubic ft
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Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how
Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

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3 years ago
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
ale4655 [162]

Answer:

24 inches

Step-by-step explanation:

2 yards to inches :

2 x 12 = 24

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The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make one 360-degree
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Answer:

<u>207.35 inches</u>

Step-by-step explanation:

The wheel is in the shape of circle. The height, here, basically gives the diameter.

So,

Diameter = 66 in

Radius is half of diameter, so radius is:

66/2 = 33 inches

r = 33

Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.

The formula is:

C=2\pi r

Where C is circumference

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Substituting, we get the answer as:

C=2\pi r\\C=2\pi (33)\\C=66\pi\\C=207.35

The distance covered is about <u>207.35 inches</u>

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3 years ago
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