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devlian [24]
3 years ago
8

A student uses the method of successive approximations to estimate a positive solution of f(x) = g(x), where f(x) = x2 + 10 and

g(x) = 2x + 17. The table shows her results for different input values of x. x f(x) g(x) 0 10 17 1 11 19 2 14 21 3 19 23 4 26 25 3.5 22.25 24 Using this method, the next number selected should be between and .
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

The next number selected should be between 2 and 3 .

Step-by-step explanation:

x. x    f(x)             g(x)

0        10               17

1           11              19

2          14              21

3          19              23

4         26             25

3.5      22.25        24

<u>2.5      16.25         22</u>

1.5       12.25        20

0.5       10.25       18

We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.

So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5

Now it is moving in the reverse direction in the same pattern  with a difference of a unit.

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Dos anyone know how much a is 2(a+7)-7=9
Oduvanchick [21]

Answer:

a =1

Step-by-step explanation:

2(a+7)-7=9

Add 7 to each side

2(a+7)-7+7=9+7

2(a+7)=16

Divide by 2

a+7 = 16/2

a +7 = 8

Subtract 7

a+7-7 = 8-7

a = 1

3 0
4 years ago
Read 2 more answers
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the<br> SMALLEST angle?
kirill [66]
The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
=
6
(
15
)
=
90
7 0
3 years ago
A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at
sergij07 [2.7K]
Number of stocks held = 30
Price at which each shares of Lofty Cheese Company bought = 20 1/4
                                                                                                 = (81/4) dollars
Price at which each shares of Lofty Cheese Company sold = 25 1/4
                                                                                             = (101/4) dollars
Amount of profit made per share of Lofty Cheese Company = [(101/4 - (81/4)] dollars
                                                                                                 = (20/4) dollars
                                                                                                 = 5 dollars
Amount of profit made for 30 shares of Lofty Cheese Company = (30 * 5) dollars
                                                                                                       = 150 dollars.
So you will make a profit of $150.The correct option in regards to the question given is option "C".


3 0
4 years ago
Need Help Fast Please!!!!!
Arturiano [62]

Answer:

The fourth term in the sequence is equal to the third term plus the common difference, or 16+3=19- last choice

8 0
3 years ago
A fair coin is flipped 20 times. Your friend proposes a bet where if it lands on heads exactly 10 times, you win $4, but if it l
Rudiy27

E[y]=∑yp(y)=4(0.176)+(−1)(0.824)  =−.12  dollar, so In one play the player is expected to lose 12% of a dollar.

3 0
3 years ago
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