Help I need it quick

Mathematics

2 answers:

jarptica [38.1K]1 year ago

8 0

Answer:

Step-by-step explanation:

pick 2 points from the graph

example is (2,8) and (-4,-4)

subtract the numbers

-4-2

-4-8

this gets you -12÷-6 which gets you 2

Tems11 [23]1 year ago

5 0

answer:

slope = 2

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David's last equation to solve is x/100+3/100=8/100. Write and solve an equivalent equation with easier numbers that would give

JulijaS [17]

$\sf\dfrac{x}{100}+\dfrac{3}{100}=\dfrac{8}{100}$

Subtract 3/100 to both sides:

$\sf\dfrac{x}{100}=\dfrac{5}{100}$

Cross multiply:

$\sf100x=500$

Divide 100 to both sides:

$\sf~x=5$

Or we could just multiply both sides of the equation by 100, to give us:

$\sf~x+3=8$

Subtract 3 to both sides:

$\sf~x=5$

3 0

4 years ago

Video Example EXAMPLE 1 Find the linearization of the function f(x) = x + 1 at a = 3 and use it to approximate the numbers 3.98

Blizzard [7]

Answer:

the linearization is y = 1/4x +5/4

the linearization will produce <em>overestimates</em>

the values computed from this linearization are ...

f(3.98) ≈ 2.245

f(4.05) ≈ 2.2625

Step-by-step explanation:

Apparently, you have ...

$f(x)=\sqrt{x+1}$

from which you have correctly determined that ...

$f'(x)=\dfrac{1}{2\sqrt{x+1}}$

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...

g(x) = (1/4)(x -3) +2

g(x) = (1/4)x +5/4

The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.

At the given values, we find ...

g(3.98) = 2.245

g(4.05) = 2.2625