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OverLord2011 [107]
4 years ago
8

What is the range of the function f(x)=3|2x-4|+5

Mathematics
1 answer:
natita [175]4 years ago
3 0
Y/f(x) is greater than or equal to 5
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Previous balance = $102.35 Finance charge = $1.24 New purchases = $15.73 Payments/credits = $12.00 New balance = $______
dimaraw [331]

Answer:

$97.38

Step-by-step explanation:

Subtract the finance charge and new purchases from the previous balance.

    102.35 - 1.24 - 15.73 = 85.38

Add the payment/credit

85.38 + 12 = 97.38

4 0
3 years ago
Read 2 more answers
Ella used 3 4 of a bag of lemons to make 1 2 liters of lemonade. If Ella's recipe is for 1 liter of lemonade, how many lemons wi
Sergeeva-Olga [200]

<u>Answer:</u>

Ella will need 6 lemons for 4 times the recipe

<u>Explanation:</u>

Given Ella used ¾ of a bag of lemon to make ½ liters of lemonade

Therefore, we can form an equation as:

¾ bag lemons = ½ liter lemonade

According to question,

Ella recipe is for 1 liter of lemonade

Lemons required for ½ liter lemonade = \frac{3}{4} bag

Lemons required for 1 liter lemonade =\frac{3}{4}\times 2 = 3/2 bags

To make 4 times the recipe, she will require,

\frac{3}{2} \times 4 = 3 \times 2 = 6

She will need 6 lemons for 4 times the recipe

3 0
3 years ago
Read 2 more answers
Find the nth term of the sequence:<br>23, 19, 13, 5, -5.......<br>​
Maurinko [17]

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

8 0
3 years ago
Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam
Luba_88 [7]

Answer:

a. Left Skewed

b. More students scored above 70

c. No

d. 0.0008

e. standard deviation increases by 1.4142

Step-by-step explanation:

a. The distribution  is Left skewed. The maximum possible score is 100 and the mean is 70, hence, there is a barrier preventing a long right tail.

-The scores to the left is only 20, the left therefore is longer.

-The median, 74, is higher than the mean, 70, thus the mean is more left leaning.

b.More students will score more than 70.

-the median is 74 suggesting that 50% plus have scored 74points +

- Given the mean is 70 points, it's therefore obvious that more than 50% of the students have score more than 70 points.

c. No. This is not a normal distribution therefore we cannot calculate the probability that a randomly chosen student scored above 75 using this distribution.

d. The sample size  n is large, n>30, so we can use the central limit theorem to approximate the probability:

Standard \ Error=\frac{\sigma}{\sqrt{n}}\\\\=\frac{10}{\sqrt{40}}\\\\=1.5811\\\\z=\frac{75-70}{1.5811}\\\\=3.1623\\\\\\(PX>70)=P(z>3.1623)\\\\=0.0008\\

e. The standard deviation will increase by the square root of the decreament :

\sqrt{2}=1.4142

#Standard deviation increases by 1.4142

3 0
4 years ago
Matias spent 2 hours studying for an exam, and he received an A on the exam. Normally, he would have spent that time watching TV
Setler79 [48]

Answer:

1) 1 hour

Step-by-step explanation:

Marginal cost is the total cost of making the product.

Here, the Total number of hour Matias need to move from grade B to grade A is:

Time spent to get grade A - Time spend to get grade B

= 2 hours - 1 hours = 1 hours

Thus, Matias ’s marginal cost in terms of TV viewing to moving from a B to an A on the exam is 1 hour.

6 0
3 years ago
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