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3 years ago

Identify the graph of the line passing through (0, -3) and (1, 0)

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

Choice B:
The line intersects at both points (0,-3) and (1,0)

(I can not specifically see the number on the grid if there is any but that is what I would put for the answer based on what I see)

If you want me to explain it more I can try to! :)

I hope this helps

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What is the slope of the line

Airida [17]

Answer:

Step-by-step explanation:

Line is parallel to the x-axis,

Therefore slope = 0

(Any line which is parallel to the x-axis has zero slope)

4 0

3 years ago

Consider the infinite geometric series (∞/Σ/n=1) * -4(1/3)^{n-1}.

raketka [301]

The first four terms of the series probably refer to the first four partial sums.

$\displaystyle\sum_{n=1}^1-4\left(\frac13\right)^{n-1}=-4\left(\frac13\right)^{1-1}=-4$
$\displaystyle\sum_{n=1}^2-4\left(\frac13\right)^{n-1}=-\frac{16}3$
$\displaystyle\sum_{n=1}^3-4\left(\frac13\right)^{n-1}=-\frac{52}9$
$\displaystyle\sum_{n=1}^4-4\left(\frac13\right)^{n-1}=-\frac{160}{27}$

which you can compute either by adding one term at a time, or using the well-known formula,

$\displaystyle\sum_{n=1}^kar^{n-1}=a\frac{1-r^{k+1}}{1-r}$

(I can provide a link to a derivation I gave in a nearly identical question in the comments)

The series converges as $k\to\infty$ if and only if $|r|$ , which is certainly the case here, since $-1$ .

Extrapolating from the formula above, the sum of the convergent series is

$\displaystyle\sum_{n=1}^\infty ar^{n-1}=\frac a{1-r}$

so the sum for this series is $\dfrac{-4}{1-\frac13}=-6$ .

5 0

4 years ago

A group of preschooler has 8 boys and 24 girls. what is the ratio of girls to all children?

mr_godi [17]

Answer:

The answer is 24:32

Step-by-step explanation:

You have 24 girls + 8 boys= 32.

Giving ratio of 24girls: 32 children

= 24:32

4 0

3 years ago

Use intercepts to graph the line described by the equations-2x-4y=8

tekilochka [14]

-- The x-intercept is the point where the line crosses the x-axis.
So y=0 there.

   <u>-2x - 4y = 8</u>
      -2x - 4(0) = 8
      -2x    = 8

Divide each side by -2 : x = -4 => the x-intercept is (-4, 0)

-- The y-intercept is the point where the line crosses the y-axis.
So x=0 there.

   <u>-2x - 4y = 8</u>
       -2(0) - 4y = 8
      -4y = 8

Divide each side by -4 : y = -2 => the y-intercept is (0, -2)

Now you have two points on the graph ... the points where the line crosses each axis.

Mark little dots at both points, then lay your ruler across both dots, and draw
the line along the edge of the ruler, as far as you want to in both directions.

8 0

3 years ago

Two automobiles start together from the same place and travel along the same route. The first averages 40 miles per hour and the

zheka24 [161]

Answer:

the second car is 75 miles longer than the first car for 5 hours

Step-by-step explanation:

First we need to know the distance each one traveled in 5 hours

the first one travels 40 miles in one hour

1 h = 40 mi

1h * 5 = 40mi * 5

5h = 200 mi

the second one travels 55 miles in one hour

1 h = 55 mi

1h * 5 = 55mi * 5

5h = 275 mi

so the first one traveled 200 miles and the second 275 miles

if 275 we have 200 left, we will get how many more miles the second car made in 5 hours

275mi - 200mi = 75mi

3 0

3 years ago

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