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tiny-mole [99]
3 years ago
6

What multiplies to make 12 and adds up to 16

Mathematics
1 answer:
balu736 [363]3 years ago
8 0
To solve Q.15, remember to multiply the first numerical coefficient, in this case 3 to -12, to find the numbers to multiply and get that product. The middle term represents the sum the same two numbers must add to.

For example:

3r^2 - 16r - 7 = 5
3r^2 - 16r - 12 = 0

What 2 numbers multiply to give you -36, and add to give you -16, are -18 and +2, since -18 • 2 = -36, and -18 + 2 = -16.

3r^2 - 18r + 2r - 12 = 0
Factor
3r(r - 6) + 2(r - 6) = 0
(3r + 2)(r - 6) = 0
r = 6

3r + 2 = 0
3r = -2
r = -2/3.

Your 2 solutions for r are -2/3 and 6.
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No

Step-by-step explanation:

The correct answer is y = 3x, where y is the total cost and x is the number of pounds of oranges purchased.

5 0
2 years ago
A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST
mrs_skeptik [129]

Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

---------------------------

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

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divide both sides by 15

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3 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 15. Using the empirical rul
professor190 [17]

Answer:

2.5% of IQ scores are no more than 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 95

Standard deviation = 15

Using the empirical rule, what percentage of IQ scores are no more than 65?

65 = 95 - 2*15

So 65 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.

So 2.5% of IQ scores are no more than 65

3 0
3 years ago
Jim is solving 3.6 ÷ 1.5.
marishachu [46]

Answer: c·1.5=3.6

Step-by-step explanation:

3 0
3 years ago
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