X(x+2) + y (x + 2) - 5(x + 2 ) can this be factored

Please help me. these problems<br>

jeyben [28]

Answer:

1st problem:

Converges to 6

2nd problem:

Converges to 504

Step-by-step explanation:

You are comparing to $\sum_{k=1}^{\infty} a_1(r)^{k-1}$

You want the ratio r to be between -1 and 1.

Both of these problem are so that means they both have a sum and the series converges to that sum.

The formula for computing a geometric series in our form is $\frac{a_1}{1-r}$ where $a_1$ is the first term.

The first term of your first series is 3 so your answer will be given by:

$\frac{a_1}{1-r}=\frac{3}{1-\frac{1}{2}}=\frac{3}{\frac{1}{2}=6$

The second series has r=1/6 and a_1=420 giving me:

$\frac{420}{1-\frac{1}{6}}=\frac{420}{\frac{5}{6}}=420(\frac{6}{5})=504$ .

3 0

2 years ago

A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the

Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

width = 5 feet

height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$x^{2}$ = $6^{2}$ + $5^{2}$

$x^{2}$ = 36 + 25

= 61

x = $\sqrt{61}$

= 7.81

let the length of the diagonal support be represented by l. So that;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$l^{2}$ = $x^{2}$ + $8^{2}$

= $\sqrt{61}$ + 64

l = $\sqrt{\sqrt{61} + 64 }$

= 61 + 8

= 69

Thus, the length of the diagonal support is 69 feet.

6 0

2 years ago

Please help and explain the question is in the picture

Digiron [165]

Answer: 123 square feet

Step-by-step explanation: The question is a little odd, but I can break it down easily. It wants us to find the area of a three foot border around his room.

First, the whole area of his room is 20 x 24 = 480

Next, we have to make the measurements 3 feet smaller on each wall, so 17 x 21 = 357

Finally, to find the area of the border, we simply do 480 - 357 = 123

He needs to buy 123 square feet of carpeting

Hope this helps!

8 0

2 years ago

Read 2 more answers

Find the volume of the triangular prism 3cm 4 cm 5cm 11cm

vichka [17]

Answer:

82.5cm²

Step-by-step explanation:

The volume of a triangular prism is : V = 1/2 * a * c * h

V = 1/2 * 3 * 5 * 11

= 165/2

= 82.5cm²

4 0

2 years ago

A plane averaged 800 mph on a trip going east, but only 400 mph on the return trip. The total flying time in both directions wa

galina1969 [7]

Answer:

1200 miles.

Step-by-step explanation:

Let d represent one way distance.

We have been given that a plane averaged 800 mph on a trip going east, but only 400 mph on the return trip.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

The time taken while going east would be $\frac{d}{800}$ .

The time taken while returning back would be $\frac{d}{400}$ .

Since the total flying time in both directions was 4.5 hr, so we will equate sum of both times with 4.5 as:

$\frac{d}{800}+\frac{d}{400}=4.5$

Make a common denominator:

$\frac{d}{800}+\frac{d*2}{400*2}=4.5$

$\frac{d}{800}+\frac{2d}{800}=4.5$

$\frac{d+2d}{800}=4.5$

$\frac{3d}{800}=4.5$

$\frac{3d}{800}\times \frac{800}{3}=4.5\times \frac{800}{3}$

$d=1.5\times \frac{800}{1}$

$d=1200$

Therefore, the one-way distance was 1200 miles.

5 0

2 years ago