David is solving a system of linear equations by graphing. First he graphed both equations on a coordinate plane . What should be his next step in solving the system of linear equations

9514 1404 393

Answer:

  x ≈ 2.367796

Step-by-step explanation:

There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.

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One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.

Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.

Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.

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We assume you want the solution to ...

  x^2 -5 = √(x -2)

This is conveniently reformulated to ...

  x^2 -5 -√(x -2) = 0

so that we're seeking a zero of the function on the left.

The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.

Our final guess at x is ...

  x ≈ 2.367796 . . . . secant method

which gives an error less than 10^-5 between the left- and right-sides of the equation.

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Additional comments

At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.

Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.

Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.

Answer:

y-8=-4/3(x+9)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-4/3(x-(-9))

y-8=-4/3(x+9)

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

Answer:

kite: a quadrilateral whose two pairs of adjacent sides are congruent and whose opposite sides are not congruent.

parallelogram: a quadrilateral in which both pairs of opposite sides are congruent.

polygon: in a plane, a closed figure formed from three or more line segments such that each segment intersects exactly two other segments, one at each endpoint, and no segments with a common endpoint are collinear.

quadrilateral: a polygon with four sides. [quad is a prefix meaning "four"]

rhombus: a quadrilateral with four congruent sides.

Step-by-step explanation:

I know I ran a tad late. I'm sorry. But I helped anyways, so you can turn it in. My hint for this was to use context clues. Please, have a good day!

Answer:

11.5 m^2

Step-by-step explanation:

The area of a parallelogram is base * height, so you have to find the height.

You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/[tex]\sqrt{3}[/tex] = [tex]4\sqrt{3}/3[/tex].

Then, find the area, so do base * height = 5 * [tex]4\sqrt{3} /3[/tex] = [tex]20\sqrt{3}/3[/tex].

Put this in a calculator and you get: 11.5 m^2

Answer:

56 carrots

Step-by-step explanation:

Because 7 x 8 is 56

Answer:

-2

Step-by-step explanation:

The first equation simplifies to -2x+8 so p should be replaced with -2

The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  6x+3-(8x-5)

another expression, (px+8)

Value of p for which both the expressions are equivalent = ?

So now, we can compare both the expressions

⇒   6x+3-(8x-5)

⇒  6x+3-8x+5

⇒  -2x+8

if compare it with (px+8)

then, p = -2

Hence, the values of p is -2

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Answer:

3 horas si se toma apartir de lo que se dice en el problema

Answer:

5/12 cups

Step-by-step explanation:

1 bag = 2/3 cup

5/8 bag = 2/3 × 5/8

= 10/24 = 5/12

Answer:

therws this random chart from the internet, I think that's what they want, but not sure

Answer: 4 5/6

Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)

Answer:

$9.63

Step-by-step explanation:

100 + 75 = 175

5.50/100 X 175 = 9.625

monetary unit round to 2dp

9.63

Answer:

C) 23

Step-by-step explanation:

If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.

Let a = the width, let b= the height, let c = the diagonal.

a^2 + b^2 = c^2

20^2 +12^2 =c^2

400 + 144 = c^2

544 = c^2

C is approximately equal to 23 inches.

Let me know if this helps!

Answer:

Step-by-step explanation:

what is the underscore for?

Answer:

your answer should be x < 13

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer: I believe Ms. Rios mowed more, hope this helps!

Answer:

Greatest possible integer value is 0

Step-by-step explanation:

idek i did it in my head

Answer:

GCF(24, 96) = 24

Step-by-step explanation:

Steps:

Prime factorization of the numbers:

24 = 2 × 2 × 2 × 3

96 = 2 × 2 × 2 × 2 × 2 × 3

GCF(24, 96)

= 2 × 2 × 2 × 3

= 24

(hope this helps can i plz have brainlist :D hehe)

Answer:

B. 4.5

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees

Since we know it is a right triangle, there is one angle that is 90 degrees

The acute angles are given as 8x and 12x

Add them up and isolate x to find the value of it

8x + 12x + 90 = 180   1. Add like terms

20x + 90 = 180           2. Subtract by 90 on both sides

20x = 90                       3. Divide by 20 on both sides

x = 4.5

Answer:

$17850

Step-by-step explanation:

Adding 5% of a number to that number is the same as taking 105% of the number.

Taking 105% of a number is the same as multiplying it by 1.05

This means that 105% of 17,000 is:

17,000*1.05 = 17850

Answer:

2.85

you multiply the price by the rate translated to a decimal

so

95*.03

=

2.85

Answer:

127/100

Step-by-step explanation:

Answer:

the number is 216

Step-by-step explanation:

if the cube root of the number is 6 then you have to do 6^3

6 x 6 x 6 = 216

Answer:

216

Step-by-step explanation:

6 · 6 · 6 = 216

Tis communitive property.

Okeh bye

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

B. commutative property

o.o

Answer:

Radius-16

Diameter-32

Step-by-step explanation:

I think

Answer:

I believe its 22 if im not mistaken

Step-by-step explanation: