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murzikaleks [220]
2 years ago
14

Jacob is solving the equation below using successive approximations.2^x-4=3^-x-2 He started from a graph where he found the solu

tion to be between 1 and 2. Using the lower and upper bounds from the graph, Jacob did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero on one side. Step 2 Evaluate the rewritten equation at the lower and upper bounds. To find the solution that lies between 1 and 2, set these values as the lower and upper bounds while finding the solution. Step 3 Take the average of the lower and upper bounds. Step 4 Evaluate the rewritten equation at x = . Step 5 Since this value is positive, replace the previous lower bound so that the bounds are now x = and x = 2. Where did Jacob make a mistake, and what was the error?
Mathematics
2 answers:
Shalnov [3]2 years ago
5 0

Answer:

jacob made no mistakes

Step-by-step explanation:

trasher [3.6K]2 years ago
4 0

I think he made a mastake a step 3

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A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c
riadik2000 [5.3K]

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2}  , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )

= \left ( \frac{1*8+3*(-1)}{1+3}  , \frac{1*4+3*1}{1+3} \right )

= \left ( \frac{8-3}{4}  , \frac{4+3}{4} \right )

= \left ( \frac{5}{4}  , \frac{7}{4} \right )

So the final answer is \left ( \frac{5}{4}  , \frac{7}{4} \right ).

6 0
2 years ago
Read 2 more answers
9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak
liubo4ka [24]

Answer:

t=64.2\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$9,400\\ A=\$47,100\\r=6.25\%=6.25/100=0.0625

substitute in the formula above

47,100=9,400(1+0.0625t)

solve for t

t=[(47,100/9,400)-1]\0.0625

t=64.2\ years

6 0
2 years ago
The students at Barton academy are planning a fundraiser to give money to an organization in their community. They voted for whi
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2 years ago
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax
kari74 [83]

Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

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so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

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2 years ago
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. I
34kurt

Answer:

H0: sigma=12

H1:sigma≠12

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