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3 years ago

Write an equation in slope

Mathematics

2 answers:

Nostrana [21]3 years ago

4 0

Answer: y=8x + 38
hope this helps

serious [3.7K]3 years ago

3 0

Answer:

y=8x+38

Step-by-step explanation:

First, let's solve for our slope.We would use the equation m=y2-y1/x2-x1.

1. Label your points as x1 y1 and x2 y2.

(-4,6) (x1,y1) and (-5,-2) (x2-y2)

2. Plug your points into the equation: m=y2-y1/x2-x1

m= -2-6/-5-(-4)

m=-8/-1

m=8

Now we have our slope. To find b, we need to plug our coordinates.

1. Take one of your coordinates and plug in the x and y. First use (-4,6)

y=8x+b --> 6=8(-4)+b

2. Multiple 8(-4) and move to the other side of the equation in order to get b by itself.

6=-32+b

6+32=b

38=b

Now repeat the process with the other coordinate. (-5,-2)

y=8x+b ---> -2=8(-5)+b

-2=-40+b

-2+40=b

38=b

Your final equation is:

y=8x+38

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2x2 +5x+8 Given x 3-2, the expression x+2. is equivalent to

Masteriza [31]

Answer:

x=-1

Step-by-step explanation:

so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!

6 0

3 years ago

A chain letter works as follows: One person sends a copy of the letter to five friends, each of whom sends a copy to five friend

Svetach [21]

Answer:

The number of people that received copies of the letter at the twentieth stage is 9.537 × 10¹³ .

Step-by-step explanation:

Using the discrete model,

a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a

then,

aₙ = a rⁿ for all integers n ≥ 0

Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.

Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,

a = a₀ = 1

The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,

a_k = 5 a_(k - 1)

Thus,

aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ

The number of people that received copies of the letter at the twentieth stage is

a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies

5 0

3 years ago

A jewelry store has 333.25 ounces of 14-carat gold in stock. How many custom necklaces can be manufactured if each requires 3 an

TEA [102]

Answer:

97 necklaces

Step-by-step explanation:

$3\frac{3}{7} =\frac{24}{7} = 3.43 oz$ per necklace

333.25/3.43 = 97.19 ---> 97 necklaces

6 0

3 years ago

Find the SUm of the infinite series.

givi [52]

I'll do problem 13 to get you started.

The expression $4\left(\frac{2^n}{7^n}\right)$ is the same as $4\left(\frac{2}{7}\right)^n$

Then we can do a bit of algebra like so to change that n into n-1

$4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\$

This is so we can get the expression in a(r)^(n-1) form

a = 8/7 is the first term of the geometric sequence
r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

------------------------

Answer in fraction form = 8/5

Answer in decimal form = 1.6

7 0

3 years ago

Express 7 million in scientific notation

Novay_Z [31]

Answer:

Step-by-step explanation:

10^9 x 0.007

5 0

3 years ago