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Thepotemich [5.8K]
3 years ago
15

Brenda’s scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth s

cience test to ensure an average score of at least 93?. . A) X ≥ 96. B) X ≤ 90. C) X ≥ 88. D) X ≤ 92
Mathematics
2 answers:
attashe74 [19]3 years ago
6 0
Average of 93

4 scores
(95+92+89+x)/4<u>></u>93
times 4 both sides
276+x<u>></u>372
minus 276 both sides
x<u>></u>96


A
Marrrta [24]3 years ago
5 0
The average is equal to the mean of the data set. It is the total of the data or numbers given divided by the ordinal unit of the data set. In this case, we are given with scores of <span>95, 92, and 89. To have an average of at least 93, the fourth score should be : 
95 + 92 + 89 + x </span><span>≥ 93 * 4 where 4 is the number of data points. 
</span>x <span>≥ 96. Test score should be equal or greater than 96.</span>
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Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a
Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

  1. With the deal, Charlotte's before tax cost is $895.6
  2. The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

  • f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

  • 889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

  • 895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

#SPJ1

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1 year ago
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