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3 years ago

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

Mathematics

1 answer:

Naily [24]3 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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A carrot has 55 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

GREYUIT [131]

For an equal number of servings, the bananas will have three times as much sugar.

To put it in perspective:
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Hope this helps!

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3 years ago

It takes a machine 15 hour to assemble a toy.

solniwko [45]

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3 years ago

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Step-by-step explanation:

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3 years ago

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

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6 0

3 years ago

Find the slope for the points (5,7) and (8,4)

raketka [301]

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-7)/(8-5)

m=-3/3

m=-1

4 0

3 years ago

Read 2 more answers