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2 years ago

Which equation has a slope of -2 and passes through the point (1,-6)?

Mathematics

1 answer:

Naily [24]2 years ago

7 0

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

$y-y_1=m(x-x_1)$

Put y₁ = -6, x₁ = 1 and m = -2

$y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4$

Hence, the equation of line is y=-2x-4.

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Suppose that F(x) = x2 and G(X) = 2/3 x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

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<h2>Answer:The graph of $G(x)$ is the graph of $F(x)$ compressed vertically.</h2>

Step-by-step explanation:

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$G(x)$ is always positive because $\frac{2}{3}x^{2}$ is always positive.

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So,there is no flipping over x-axis.

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Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents t

dybincka [34]

The function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

<h3>How to rewrite the function?</h3>

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f(x) = 86(1.08)^x

There are 7 days in a week.

This means that:

1 day = 1/7 week

So, x days is

x day = x/7 week

Substitute x/7 for x in

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Rewrite as:

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In the above, we have:

r = 1.01 - 1

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r = 0.01

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r = 1%

Hence, the function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

Read more about exponential functions at:

brainly.com/question/11487261

#SPJ1

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