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3 years ago

Wild cats scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

123-67=56 points. So, subtract and you get 56 points in the second half

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"A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the vol

Darya [45]

Answer:

$w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}$

Step-by-step explanation:

We are given the following in the question:

Volume of cake = 351 cubic inches

Let x inches be the width of cake.

Width of cake, w =

$x\text{ inches}$

Then, length of cake,l =

$(x + 4)\text{ inches}$

Height of cake,h =

$\dfrac{x}{3}\text{ inches}$

Volume of cake = Volume of cuboid

$V = lwh$

Putting values, we get:

$351 = x(x+4)(\dfrac{x}{3})\\\\1053 = x^3 + 4x\\x^3+4x^2-1053= 0\\\\\text{For x = 9}\\(9)^3+4(9)^2-1053= 0$

Thus, dimensions of cake are:

$w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}$

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3 years ago

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Marina86 [1]

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2. 2.5193
3. 27.98
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2 years ago

The graph of y = 3/x is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?

adoni [48]

ANSWER

Given

The equation is

$y =\frac{3}{x}$

The equation of a rectangular hyperbola is xy = c²

where c is constant

thus above is the equation of the rectangular hyperbola.

First case

$y =\frac{3}{x}$

the graph of this equation is shown below.

Second case

$y =\frac{3}{x}$

is reflected over the y -axis

than the equation becomes

$y =\frac{-3}{x}$

the graph is shown below.

Third Case

$y =\frac{-3}{x}$

translated down 2 units to form f(x)

than the equation becomes

$y-2 =\frac{-3}{x}$

The graph is shown below.

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