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4 years ago

identify the coordinates of four points on the line with each given slope and y-intercept. slope= 1.5, y-intercept= -3

Mathematics

1 answer:

Whitepunk [10]4 years ago

7 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope = 1.5 and y-intercept b = -3. Substitute:

$y=1.5x-3$

Choose any value of x and calculate y:

for x = -2

$y=1.5(-2)-3=-3-3=-6\to(-2,\ -6)$

for x = -1

$y=1.5(-1)-3=-1.5-3=-4.5\to(-1,\ -4.5)$

for x = 0

$y=1.5(0)-3=0-3=-3\to(0,\ -3)$

for x = 1

$y=1.5(1)-3=1.5-3=-1.5\to(1,\ -1.5)$

for x=2

$y=1.5(2)-3=3-3=0\to(2,\ 0)$

<h3>Answer: (-2, -6); (-1, -4.5); (0, -3); (1, -1.5); (2, 0)</h3>

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Answer: 80 feet.

Step-by-step explanation:

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3 years ago

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Vitek1552 [10]

Answer:

the Europeans got the better deal from the Colombian Exchange

Step-by-step explanation:

In general, one would have to say that the Europeans got the better deal from the Columbian Exchange in that it facilitated the eventual establishment of colonies in the New World. That's not to say that it was all one-way traffic; however, the people of the New World undoubtedly benefitted in both the short and long-term by the introduction of crops and livestock. But such benefits proved to be more keenly felt by subsequent waves of European settlers than America's indigenous population.

After all, it wasn't much good for Native-Americans to have all these crops and all this livestock if, in due course, there'd be less land available for their use due to increased colonization. The indigenous peoples also suffered terribly from the introduction of diseases such as measles and smallpox, for which they had no natural immunity. It's difficult, then, to avoid the conclusion that the Europeans got the better deal from the Columbian Exchange (as it was probably intended that they should).

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4 years ago

Drag the tiles to the correct boxes to complete the pair.

seraphim [82]

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

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B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

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