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faltersainse [42]
3 years ago
8

Select the correct answer. Consider these equations: f(x)=

"x^{3}" alt="x^{3}" align="absmiddle" class="latex-formula">+3 g(x)=x^{2}+2 Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.

Mathematics
2 answers:
ra1l [238]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}

Hope this helps!

marissa [1.9K]3 years ago
3 0

Answer:

-13/16

Step-by-step explanation:

f(x)=x^3+3

g(x)=x^2+2

We know the solution is around -1

x^3+3 = x^2 +2

Subtract x^2+2 from each side

x^3 -x^2 -1 = f(x)

We need to find the derivative

3x^2 -2x = f'(x)

Newtons method of successive approximation states

xn+1 = xn -f(xn) / f'(xn)

Function

x3−x2+1

Derivative

x⋅(3⋅x−2)

x

-0.75488

Iterations

Step x F(x) |x(i) - x(i-1)|

x1 -0.8      -0.152000 0.152000

x2 -0.75682 -0.006259 0.006259

x3 -0.75488 -0.000012 0.000012

The approximate answer is -0.75488

The closest answer given is -13/16

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$55 per gallon. 1 gallon covers 100sqft. What is the price per sqft?
marta [7]

the price is 0.55$ per square foot

Step-by-step explanation:

We can solve the problem by using the rule of three.

In fact, we know that:

1 gallon covers an area of 100 ft^2

While the price per gallon is

$55 per gallon

This means that the price per 100 ft^2 is $55, since 1 gallon cover 100 ft^2

Therefore, to find the price per square foot, we can write

\frac{55}{100}=\frac{x}{1}

WHere x is the price per square foot. Solving for x,

x=\frac{55}{100}=0.55\$

So, the price is 0.55$ per square foot.

Learn more about problems with price:

brainly.com/question/4479991

#LearnwithBrainly

7 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
zalisa [80]

Answer:

The answe is 2/5m=4

Step-by-step explanation:

If he ate 4 of them, but it means he ate 2/5 muffins,

4 muffins = 2/5 muffins

You substitute x muffins for how much muffins she baked in all -

2/5 * x muffins = 4  or 2/5m = 4

Hope that helped :) <3

5 0
2 years ago
Look at the given angle.
mylen [45]
Other ways are m<1, YFP and m<F.

The angle is an acute angle because it is less than a right angle (less than 90 degrees).
6 0
3 years ago
Read 2 more answers
Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B)
Leya [2.2K]

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

-10x + 7y = 18

9y = 36

y = 4

5x + 4 = 9

5x = 5

x = 1

(1,4)

answer is D

4 0
2 years ago
(d) Mrs. Ferguson has a conversation on the phone with her best friend Judy, who stayed at the same hotel last year. They compar
faltersainse [42]
Rooms are 3 dimentional
they have volume
area times height=volume

if dimentions are the same, that means that the legnth, width, height are same, so therefor they have same area (Judy is correct)

if area area same, then the height could be different, so Mrs. Ferguson is wrong





Judy is correct and Mrs. Ferguson is wrong


8 0
2 years ago
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