Ask question

Ask question

All categories

3 years ago

10

2х + Зу = 24 What is the x and y intercept

1 answer:

DochEvi [55]3 years ago

3 0

Answer:

rearrange into y=mx+c

so it becomes

3y= -2x+24

y= (-2/3)x+24

substitute values for x

when x is 0

y is (-2/3)*0=0 +24 =24

<h2>y=24</h2>

for x intercept

0=(-2/3)*x+24

0-24=-2/3*x

-24/(-2/3)=x

<h2>x= -36</h2>

You might be interested in

Help me pleaseeeeeeeee

madam [21]

Answer:

-2

Step-by-step explanation:

35 / (-7) * (-2) = 10

-5 + (-15) + 3 * 5 = -5

10 / (-5) = -2

5 0

3 years ago

Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equall

Marat540 [252]

Answer:

The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32

4 0

3 years ago

Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

$a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3$

and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)

Denote the remaining sum by <em>S</em> ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2<em>S</em> from <em>S</em> to get

$S - 2S = 1 - 2^n \implies S = 2^n - 1$

So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

5 0

3 years ago

Which graph represents the solution set to the system of inequalities?<br><br> y≤1/4 x−2, y≥−5/4 x+2

jenyasd209 [6]

The first one. <_ means below and >_ means above. <_ and >_ means solid line < and > mean dotted line. i’m learning this in math right now

5 0

3 years ago

Which term best describes a figure formed by three segments connecting

elixir [45]

Answer:

The term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

Step-by-step explanation:

Step-by-step explanation:

We know that with the help of just one point we can't form any figure.

With the help of two points a line segment can be formed.

And with the help of three points if the three points are collinear a triangle can be formed.

Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

8 0

3 years ago