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dybincka [34]
2 years ago
12

Simplify. Remove all perfect squares from inside the square root.

"TexFormula1" title="\sqrt{63}" alt="\sqrt{63}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IgorLugansk [536]2 years ago
5 0

Answer:

3 \sqrt{7}

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

\sqrt{3 \times 3 \times 7}

2) Group the same prime factors into pairs.

\sqrt{(3 \times 3) \times 7}

3) Rewrite each pair in exponent form.

\sqrt{ {3}^{2} \times 7 }

3) Use this rule

\sqrt{ {x}^{2} }  = x

3 \sqrt{7}

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135

Step-by-step explanation:

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2 years ago
What is (radical 75 y 19 ) in the simplest form.
Liono4ka [1.6K]

Answer:

7519 is already in the simplest form. It can be written as 3.947368 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

3 0
3 years ago
A company is selling toothpicks. It costs $0.01 to produce each toothpick and a fixed cost of $60 a month for the company. If th
Lapatulllka [165]

Answer:

6,000 toothpicks

Step-by-step explanation:

In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.

What we do is this!

Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.

First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x

Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.

Now revenue from sales for x toothpicks at $0.02 each is $0.02x

Since we are looking to Breakeven, we equate the costs to the revenue.

0.01x + 60 = 0.02x

0.02x-0.01x = 60

0.01x = 60

x = 60/0.01 = 6,000 toothpicks

6 0
3 years ago
Solve the equation below. Simplify if necessary.
SpyIntel [72]

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6

4 0
2 years ago
Which graph represents the function?
BlackZzzverrR [31]

Answer:

The last one.

Step-by-step explanation:

The solutions with the horizontal lines are wrong because then h(x) would be -1 and 1 respectively.

The subtlety is in the open or closed dot. x ≥ -1 means that -1 is included, which is drawn as a closed dot. x < -1 means that -1 is excluded, which is drawn as an open dot.

Hence the last graph is the correct one.

4 0
3 years ago
Read 2 more answers
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