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2 years ago

Which ordered pair would form a proportional retationship with the points in the graph?

Mathematics

1 answer:

shtirl [24]2 years ago

7 0

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

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Determine the root of the equation

larisa [96]

Answer:

0.97087

Step-by-step explanation:

Given the function:

$f(x) = e^{2x} - x - 6$

Its first derivative is:

$f'(x) = 2e^{2x} - 1$

Using Newton's method:

$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$

and starting with the point:

$x_1 = 0.95$

we get:

$f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410$

$f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178$

$x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134$

$f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608$

$f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485$

$x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087$

$f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}$

6 0

3 years ago

In which months were the expenses greater than the income? Name the month and find how much money was lost.

Liono4ka [1.6K]

expenses is greater in Jan and Feb

Jan −85.6 Loss

Feb −162.44 Loss

Mar 0

June 306.77 Gain

July 301.5 Gain

Aug 337.88 Gain

5 0

3 years ago

Read 2 more answers

Please help me I’m stuck

FrozenT [24]

Answer:

10.77 units

Step-by-step explanation:

By imaging an imaginery line at point before 1 units to be 4 units: b = 4 units

Therefore h = 11 - 1 = 10 units

Using Pythagoras theorem:

x² = h² + b² = 10² + 4² = 100 + 16 = 116

x = √116 = 10.77 units

8 0

3 years ago

PLSSS HELP

Dennis_Churaev [7]

The correct standard form of the equation of the parabola is:

$(x+3)^{2}$ = 4(y - 3).

<h3 /><h3>What is a parabola?</h3>

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

$(x-h)^{2}=4(y-k)$

$(x+3)^{2}$ = 4(y-3)

Learn more about parabolas here:

brainly.com/question/64712

#SPJ1

4 0

2 years ago

44 lb 6 oz = ____ ounces

hodyreva [135]

Answer:

710 oz

Step-by-step explanation:

5 0

2 years ago