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kotegsom [21]
3 years ago
8

A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets t

han 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0
X - 3pt  baskets  (he reaches 3x points)
y - 2pt baskets  (he reaches 2y points)

We know, that  y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points:  96

3x + 2y = 96.   Substitute  to "y"  an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10    |:5
x=2 

So y=x+43=2+43=45 

He has made 2  three points baskets and 45 two points baskets
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Determine whether the statement is true or false, and explain why.
ipn [44]

Answer:

False

Step-by-step explanation:

The statement is False, because the average value of a funciton f(x) on an interval is given by the value of the integral of the function on that interval divided by its length. In this case, the integral is right, but we are not integrating exactly f, and thats why the average value is not given correctly.

5 0
3 years ago
Graph the linear equation
baherus [9]
For the equation
.. x - y = 4
you can divide by 4 to put the equation into intercept form. This form shows you both interecepts at once.
.. x/4 +y/(-4) = 1

The x-intercept is (4, 0).
The y-intercept is (0, -4).

The graph is shown below.

7 0
3 years ago
Combine the like terms of the expression (8 + 6x) + (-4 + 9c). Explain how you simplified the expression in each step. * pls hel
Delicious77 [7]

Answer: 6x+9c+4

Step-by-step explanation:  (8 + 6x) + (-4 + 9c)

                                              8+6x-4+9c

                                              6x+9c+8-4

                                              6x+9c+4

8 0
3 years ago
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

8 0
3 years ago
Find the coordinates of the endpoint of the image?
ra1l [238]

Given:

The graph of a line segment.

The line segment AB translated by the following rule:

(x,y)\to (x+4,y-3)

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

(x,y)\to (x+4,y-3)

Using this rule, we get

A(-2,-3)\to A'(-2+4,-3-3)

A(-2,-3)\to A'(2,-6)

Similarly,

B(4,-1)\to B'(4+4,-1-3)

B(4,-1)\to B'(8,-4)

Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

5 0
3 years ago
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