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amid [387]
3 years ago
9

Rachel Newton scored 33 points in a recent basketball game. She scored 21 times, making several free throws worth 1 point each a

nd several field goals worth two points each. How many 2-point field goals did she make?
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

6

Step-by-step explanation:

Step 1:

Let Rachel scored 33 points in total

Let a be the 1 point and b be the 2 point.

a = 21 points scored by 1 point. We want to find b

Step 2:

a+b=33

b= 33-a

  = 33-21

   = 12

b=12 points which means 6 double points

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Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

r(x)=0.05(x^2+1)(x-6)

r(x)=0.05(x^3+x-6x^2-6)

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

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2 years ago
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Aliun [14]

Answer:

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Step-by-step explanation:

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The following table shows the salary of 7 people in an office last year.
Andreas93 [3]

Answer:

a. Mean = £27928.57

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Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..

Rounding off to two decimal places

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Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

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The mean without Deva's income is:

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Rounding off to 2 DP

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a. Mean = £27928.57

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