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3 years ago

15

What is (7, -1) and (21, -5) written in slope intercept form? Thank you!

2 answers:

GaryK [48]3 years ago

8 0

Answer = Y= -2/7x + b

cluponka [151]3 years ago

5 0

Here is your answer. Hope it helps.

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2/3(9x – 6) = 4(x + 2) + 2<br> help!!

Natasha_Volkova [10]

First multiply 2/3*9x=6x
then multiply 2/3*-6=-4
this being 6x-4.
then multiply 4*x=4x
then multiply 4*2=8
this being 4x+8.
so we have 6x-4=4x+8+2
we add the 8+2=10
6x-4=4x+10
now we subtract the x to both sides (choose 4x)
2x-4=10
now we add 4 to both sides.
2x=14
we divide 2 to both sides.
we get x=7
final answer:x=7

5 0

3 years ago

A movie theater has increased their ticket prices. They are shown below

hram777 [196]

Answer:

k = 12

Step-by-step explanation:

Given in the question,

Cost of the the movie tickets is proportional to the number of tickets sold.

Cost of movie tickets (C) ∝ number of tickets sold (T)

C ∝ T

C = kT

Here 'k' is a proportionality constant.

Since, line given in the graph passes through a point (5, 60)

60 = k(5)

k = $\frac{60}{5}$

k = 12

Therefore, value of proportionality constant is 12.

6 0

3 years ago

Given the first term and the common ratio of a geometric sequence find the explicit formula.

lisov135 [29]

A geometric sequence is generated by multiplying the first term in the sequence, $a_1$ , several times by a fixed scalar $r$ . So

$a_2=a_1r$

$a_3=a_2r=a_1r^2$

$a_4=a_3r=a_1r^3$

and so on, down to

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Using the result above, the sequences you're interested in are

31) $a_n=-(-2)^{n-1}$

33) $a_n=4(-4)^{n-1}$

We can rewrite these results to make them slightly cleaner.

$-(-2)^{n-1}=-(-1)^{n-1}2^{n-1}=(-1)^n2^{n-1}$

$4(-4)^{n-1}=4(-1)^{n-1}4^{n-1}=(-1)^{n-1}4^n$

6 0

3 years ago

La suma de las edades de unos gemelos y unos trillizos es 150 años si se intercambian las edades la nueva suma es 120 años ¿ cua

julsineya [31]

Answer:

The age of triplets is 42 years old

Step-by-step explanation:

The question in English is

The sum of the ages of twins and triplets is 150 years if the ages are exchanged the new sum is 120 years. What is the age of triplets?

Let

x -----> twins age

y ----> triplets age

we know that

2x+3y=150 ------> equation A

2y+3x=120 -----> equation B

Solve the system by graphing

The intersection point both graphs is the solution of the system

The solution is the point (12,42)

see the attached figure

therefore

The age of triplets is 42 years old

3 0

3 years ago

Write an equation of a line passing through (-1,9) and (-5,11).

lubasha [3.4K]

Answer:

Hi there!

The answer to this question would be:

Step-by-step explanation:

the general equation would be: y= -1/2x + 17/2

first you want to solve for the slope (m): you wanna do delta y (change of y ) over delta x (change of x)

so it goes like (11-9)/(-5-(-1)) and you get -1/2

then you want to solve for the y intercept (b)

so you plug in one of the point that you were given, in this case I am using (-1,9)

so now the equation looks like 9 = 1/2 +b then solve for b and you get b=17/2

3 0

3 years ago