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steposvetlana [31]
3 years ago
10

Explain how to factor the following: 16x^2 – 40x – 24

Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer: (x-3)(2x+1)(8)

Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.

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an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk
Westkost [7]

\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0
3 years ago
A square ceramic tile has an area of 20.25 square inches. How long is one side?
MrMuchimi

area = S^2

so 20.25 = S^2

take square root of 20.25 for length of side

square root of 20.25 = 4.5 inches

8 0
3 years ago
Read 2 more answers
Solve for x.
Butoxors [25]

Answer:

I think its A

Step-by-step explanation:

-7 times -4 is equal to 21 plus one 22

-10 times -4 is equal to 40 plus 41: 81

So this means that -4 is the answer but it can be any number less than -4 as well

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4 years ago
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I trust those links^
3 0
3 years ago
What is the probability of the spinner landing on 2​
goldfiish [28.3K]

Answer:

2by 1 correct answer is 2by 5

Step-by-step explanation:

hope it helps you

8 0
3 years ago
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