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3 years ago

What are the steps to this

Mathematics

1 answer:

Mice21 [21]3 years ago

4 0

If f(0) = -2 that means, when you put zero instead of x in the f(x) equation, it gives -2 as answer. m is given as 2/3. So,
f(x) = mx + b
f(0) = 2/3 * 0 + b = -2 then b = -2
Then you can write the general function as ;
f(x) = 2/3*m -2

And same steps for question 25;
m is given as -1/3

f(9) = -1/3 * 9 + b = 2 then b must be 5
Then the general form of the function;
f(x) = -1/3*m +5

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Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

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The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

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1 year ago

Omar has 2-5/8 cups of dough to make dumplings. If he uses 3/16 cup of dough for each dumpling, how many whole dumplings can Oma

Arte-miy333 [17]

Answer:

The number of whole dumpling does Omar make is 14 .

Step-by-step explanation:

Given as :

The number of cups does Omar has to make dumplings = x = 2 $\dfrac{5}{8}$

i.e x = $\dfrac{16 + 5}{8}$

or, x = $\dfrac{21}{8}$

Again

The number of cups uses for each dumpling = y = $\dfrac{3}{16}$

i.e y = $\dfrac{3}{16}$

Let The number of whole dumpling does Omar make = z

So, number of whole dumpling does Omar make = $\dfrac{\textrm number of cups does Omar has to make dumplings}{number of cups uses for each dumpling }$

Or, z = $\dfrac{x}{y}$

Or, z = $\frac{\frac{21}{8}}{\frac{3}{16}}$

Or, z = $\frac{21\times 16}{8\times 3}$

∴ z = 7 × 2

i.e z = 14

So, The number of whole dumpling does Omar make = z = 14

Hence, The number of whole dumpling does Omar make is 14 . Answer

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seraphim [82]

Answer:

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Step-by-step explanation:

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