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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer: y = 2x - 2

Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2

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Two Trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that spe

sashaice [31]

Let s = northbound train
Then
2s = southbound train
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Distance = time * speed
4s + 4(2s) = 600
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4s + 8s = 600
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12s = 600
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s = 600/12
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s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
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Check:
4(50) + 4(100) = 600

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3 years ago

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andrew-mc [135]

Answer:

4/3

Step-by-step explanation:

4/10 / 3/10

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4/3

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3 years ago

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kirill [66]

Answer:

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Step-by-step explanation:

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3 years ago

Help <br> Fjdjdjdjdjdjdjdjdjdjdjd

Zepler [3.9K]

Answer:

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Step-by-step explanation:

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3 years ago

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Determine the roots of f(x) = -12-2.1x+18x^2-2.75x^3 graphically. in addition, determine the first root of the function with

vesna_86 [32]

The given function is that is a cubic polynomial

$f(x)=-12-2.1x+18x^2-2.75x^3$

when arranged in descending order that is from highest degree to lowest degree

$f(x)=-2.75x^3+18x^2-2.1x-12$

Since it is a three degree polynomial it has three roots.

According to rational root theorem , the possible roots of the above expression that is factors of $\frac{12}{2.75}$ = $\frac{48}{11}$ are $\pm1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24, \pm 48, \pm\frac{1}{11}, \pm\frac{2}{11}, \pm\frac{3}{11}\pm\frac{4}{11}\pm\frac{6}{11},\pm\frac{8}{11},\pm\frac{12}{11}, \pm\frac{24}{11},\pm\frac{48}{11}$

As you can see from the graph all roots of this polynomial are real.

The smallest positive root is 0.954 and smallest negative root are -0.724.

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3 years ago