All categories

3 years ago

What is the slope ? y + 6 = 3 (x + 1)

Mathematics

2 answers:

sergiy2304 [10]3 years ago

7 0

I hope this helps you

y+6=3x+3

y=3x-3

in formula m is y=mx+b

m=3

belka [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Slope is the coefficient of x, m in the form of y = mx + b

y + 6 = 3(x +1)
y + 6 = 3x + 3
y = 3x - 3

Slope of this function is 3

You might be interested in

Carmen is at a used bookstore. Paperback books cost $ 1 each, and hardcover books cost $ 2 each. Carmen can spend up to $ 10 in

Alecsey [184]

X+2y < (or equal to) 10

7 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

Value walks 2 3/5 miles each day.BI'll runsure 10 miles oncell every 4 days.In 4 days, who covers the greater distance

anyanavicka [17]

The answer is the one that runs 10 miles once every 4 days

4 0

2 years ago

Read 2 more answers

What is the solution

erastovalidia [21]

Answer:

b or a

Step-by-step explanation:

3 0

3 years ago

roger has a nail that is 12 centimeters long. he measures and records the length of the nail as 15 centimeters. what is the % er

Marianna [84]

15-12=3. 3/12=1/4=25% error

4 0

2 years ago