All categories

3 years ago

How many solutions does this system of equations have? x-5y=103x-15y=15

1 answer:

4 0

Zero because when you divide the 2nd line by 3, you get x-5y=5, so they have the same slope and lines with the same slope are parallel. It's also easier to put it in slope-intercept form (y=mx+b) so here:
y= x(1/5) -2
y= x(1/5) -1

You might be interested in

HELP ONLY ANSWER QUESTION 10. THANKS

swat32

X - 5 = x^2

i) 0 - 5 = -5^2 = 25

ii) 4 - 5 = -1^2 = 1

iii) -4 - 5 = -9^2 = 81

5 0

4 years ago

Ted is making a rectangular frame out of wood. The wood costs $1.25 per foot. The sides of the triangle are in a ratio of 4:3:2.

Oliga [24]

How are you making a rectangular frame but it needs to be a triangle?

3 0

3 years ago

Read 2 more answers

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

4 years ago

Read 2 more answers

i have 6 digits. One of my 3s is worth 300.000. The other is worth 1/10 as much. My 6 is worth 600.The rest of my digits are zer

motikmotik

The way you wrote the problem makes the answer 330,600. I think your decimals were meant to be commas. If I am wrong, please forgive me.

3 0

3 years ago

Which angles are a linear pair

mihalych1998 [28]

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

3 0

4 years ago