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3 years ago

When given a problem in a real-world situation, how can you identify the slope and y-intercept?

1 answer:

7 0

The slope is how much something increases or decreases by at a constant rate, for example if johnny buys 3 oranges every time he goes to the store the slope would be 3. the y-intercept is how many things you start with so if johnny already had 5 oranges before he went to the store the y-intercept would be 5. the equation for that situation would by y=3x+5... 3x is the 3 oranges johnny buys each time he goes to the store (the slope) and 5 is how many oranges he started with before going to the store at all (y-intercept)

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I next help on the polynomial

slamgirl [31]

Answer:

u just have to cross multiply im pretty sure thats how my math teacher show me,

Step-by-step explanation:

first you take the one x over to the other x and that will make it 2x then do the same thing with -10 u do -10 times 10 and then u get -100 and then the answer is 2x-100 and depending on your teach if he/she wants you to stop their then u can but if u have to got further then u would divide 2 on both sides and then that would be 0.02

this is how my teacher showed us how to do it and i hope this helps you a lot and if it dont im sorry i tried for you!!!

have a nice day Hun

8 0

3 years ago

<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

Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your

erastovalidia [21]

Answer:

$5.8$

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

$\frac{31}{43}=\frac{\text{KI}}{8}$

Solving, we get:

$\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}$

5 0

3 years ago

HELP NO LINKS WILL GIVE BRAINLIEST IF YOU ARE CORRECT

Zielflug [23.3K]

Answer:

1: 208.8ft $^3$

2: $626.4

6 0

3 years ago

Read 2 more answers

Johnson’s Hardware randomly selects 125 of its customers and questions them to determine their overall customer satisfaction rat

Sphinxa [80]

Answer:

a. 92%

b. 4425

Step-by-step explanation:

So there are 5000 customers in total, and 100 were completely satisfied, and 15 were satisfied and 10 weren't satisfied a bit. so 100+15 is 115 so 115 people in total were satisfied out of 125 because there were 125, and 115+10 is 125 anyways. So 115/125 is .92, and you can convert that into a percentage, 92% of the 250 customers were satisfied so then 250*5 is 5000, so then just multiply 115 by 5 as well. You get 575. So 575 were satisfied out of the 5000 customers and 5000-575 are the people not satisfied, so 4425.

probably wrong because it doesnt sound right but just try it

4 0

2 years ago