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tatyana61 [14]
3 years ago
9

A rectangular garden has a length that is 4 feet less than twice its width. Its perimeter is 26

Mathematics
1 answer:
notka56 [123]3 years ago
4 0
The width the gardenis 6
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-8-4y=-5x
-4y=-5x+8
y=5/4x+2

slope= 5/4
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Help me please! <br> i don’t understand!
Vladimir [108]

Answer:

Harry is paid £64

Step-by-step explanation:

To work this out you have to divide 48 ÷ 6 to get 8.

8 hours x £8 = £64

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a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0
3 years ago
The graph compares the number of filled tables at a party with the number of party guests. Which information tells you that the
Galina-37 [17]

Answer:

B

Step-by-step explanation:

A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.

To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.

For instance:

y=2x

According to this function we can easily check a proportional relationship among its points:

(1,2), (2,4), (4,8), (6,12), ...

k=\frac{y}{x}=\frac{2}{1}=\frac{4}{2}=\frac{12}{6}\Rightarrow k=2

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4 years ago
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Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))
kakasveta [241]

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Functions
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 5x + 7

g(x) = 3x - 1

<u>Step 2: Find</u>

  1. Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7
  2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7
  3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2
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