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DaniilM [7]
2 years ago
6

Write an equation of the line that passes through the given point and has the given slope.

Mathematics
1 answer:
zubka84 [21]2 years ago
6 0

Answer:

y = -2x - 2

Step-by-step explanation:

the equation of a linear graph is y = mx + b

you know the m = -2

so now the equation is y = -2x + b

from here, what you could do to find b is...

plug (-2, 2) into the equation

1) x = -2, y = 2

2) 2 = -2(-2) + b

3) 2 = 4 + b

4) -2 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -2)

so "b" would be equal to -2

this makes the final equation y = -2x + (-2) or y = -2x - 2

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A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

The number of fringes at d=-2 is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

where d is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

⇒ 45\cdot 1.5^{-2}

Using negative exponent property. [a^{-x}=\frac{1}{a^x}

⇒ 45\cdot \frac{1}{1.5^2}

⇒ 45\cdot \frac{1}{2.25}

⇒ 20   (Answer)

Thus, the number of fringes at d=-2 is given as 20.

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3 years ago
Please decrease 90 by 20%
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Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

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Hope u understand

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