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4 years ago

Use the distributive property to write an expression that is equivalent to 5(2x - 1)

Mathematics

1 answer:

sattari [20]4 years ago

3 0

Using the distributive property (2x-1)5!

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Select the correct answer. Which number is located to the right of on the horizontal number line? A. -1 1/3 B. -2 1/3 C. -2 2/3

r-ruslan [8.4K]

Answer:

A. -1 1/3

Step-by-step explanation:

I am assuming you want to find the number that is farthest to the right of all 4 possible choices. In that case, the bigger the negative number, the farther left it is on the number line. The smaller the negative number, the farther right it is on the number line.

7 0

3 years ago

A building that is 750 feet tall casts a shadow the is 111 feet long. find the angle of of elevation, in degrees, to the sun.

stepan [7]

Imagine the shadow and the building height forms a right angle triangle;

We know the height and the shadow make up the "legs" of the triangle,

a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft

Hope I helped :)

7 0

3 years ago

Rebecca has a college savings plan. the equation that represents how much money she expects

mr Goodwill [35]

Answer:

The initial amount

Step-by-step explanation:

Given

$f(x)= 5000 * (1.08)^x$

See comment for complete question

Required

What 5000 represents

The given formula represents an exponential function

$f(x) = ab^x$

Where

$a \to$ initial value

So, by comparison:

$a = 5000$

<em>In this context, 5000 represents the initial amount</em>

4 0

3 years ago

Identify the restrictions on the domain of f(x) = quantity x minus 1 over quantity x plus 4.

pashok25 [27]

I think the answer is A, I could be wrong though

7 0

3 years ago

Read 2 more answers

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches

Mamont248 [21]

Answer:

6 in

Step-by-step explanation:

Let x = the side length of the original square.

They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.

The area of the smaller square is (x - 3)².

The area of the original square is x²

I assume the area of the smaller square is ¼ that of the original square. Then

1. Solve for x

$\begin{array}{rcl}\frac{1}{4}x^{2} & = & (x - 3)^{2}\\x^{2} & = & 4(x - 3)^{2}\\& = & 4(x^{2} - 6x + 9)\\x^{2}& = & 4x^{2} - 24x + 36\\3x^{2} - 24x + 36 & = & 0\\x^{2} - 8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\x - 2 = 0& \qquad &x - 6 = 0\\x = 2& \qquad &x = 6\\\end{array}$