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miskamm [114]
4 years ago
8

Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being "very satifactory."

This number represented 45% of the total numbers of customers who took the survey
What was the total number of customers who took the survey?
Mathematics
1 answer:
vodomira [7]4 years ago
7 0
The total number of customers who took the survey was 320. You can write it out like this :
45 144
—- = ——
100 ?
Then you can cross multiply (144 x 100 = 14,400) then divide that answer by 45 (14,400 \ 45 ) The answer you get it 320!!
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Solve x2 + 14x + 17 = –96 for x
jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


5 0
3 years ago
Read 2 more answers
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