$\bf 5\sqrt{28}+\sqrt{63}~~ \begin{cases} 28=2\cdot 2\cdot 7\\ \qquad 2^2\cdot 7\\ 63=3\cdot 3\cdot 7\\ \qquad 3^2\cdot 7 \end{cases}\implies 5\sqrt{2^2\cdot 7}+\sqrt{3^2\cdot 7} \\\\\\ 10\sqrt{7}+3\sqrt{7}\implies \stackrel{\textit{adding like-terms}}{13\sqrt{7}}$

8 0

3 years ago

Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4

Gwar [14]

Answer:

B. 12 pieces

Step-by-step explanation:

75 / 6 1/4 or 75 / 6.25 = 12

4 0

2 years ago

Read 2 more answers

What is the range of g(x) = 3|x − 1| − 1? A. (-∞, 1] B. [-1, ∞) C. [1, ∞) D. (-∞, ∞)

AVprozaik [17]

Answer:

B. [-1, ∞).

Step-by-step explanation:

g(x) = 3|x − 1| − 1

When x = 1 g(x) = 3(0) - 1 = -1.

As all negative vales of x will give positive values of |x - 1| then g(x) = -1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).

Therefore the range is [-1, ∞).

6 0

3 years ago

You can use this rule to work out the total charge for hiring a cement mixer.

Cloud [144]

The answer is 58 because you multiply 7 by 4 and add the 30

7 0

2 years ago