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3 years ago

If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer: Option D

$y +2x = 3$

Step-by-step explanation:

The equation of a line in the form of "slope-interception" has the following form:

$y = mx + b$

Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then $m = -2$ .

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

$b = 3$ .

Finally the equation of the line will be:

$y = -2x + 3$

If we add 2x on both sides of the equation we get:

$y +2x = 3$

The answer is the option D

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Eight less than five times a number is greater than 6

-Dominant- [34]

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

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3 years ago

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Oxana [17]

Answer:

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3 years ago

How can you multiply a mixed number

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Turn it into a improper fraction and then multiply both the numerator and denominator together!
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3 years ago

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The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bil

salantis [7]

E, because he is stealing everything, meaning he has a net profit. So, you would add everything. Since he 280 $1 bills, he just stole $280 which is a definite quantity, so we don't need a variable for it. Since everything else are indefinite quantities, we need variables (x, y, z). But, yeah, E should be the answer.

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3 years ago

Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish

Luba_88 [7]

Answer:

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = $\frac{1}{6}$

Total pounds of pebbles that Timothy can use = $2\frac{1}{3}$

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

$1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}$

Now, the given mixed fraction can be converted to fractional number as:

$2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}$

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

$\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}$

<em>14</em> number of fish bowls can be filled.

3 0

3 years ago