If there is 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left aft
1 answer:
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<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is
When substituted,the equation becomes
which when simplified is
The line clearly passes through origin.
The distance between two points is
Distance between origin and is
.
Distance between origin and is
Scale factor is
So,scale factor is
which when simplified becomes 3.
Answer:
They both have an infinite number of solutions.
Step-by-step explanation:
Given system of equations:
a) 2x + 4y = 15
b) 6x + 12y = 45
Slope-intercept form: y = mx + b
<u>where:</u>
- m is the slope
- b is the y-intercept (when x = 0)
Rewrite <em>both</em> equations into slope-intercept form:
<em>a) 2x + 4y = 15 </em>
⇒ 2x + 4y = 15 [subtract 2x from both sides]
⇒ 2x - 2x + 4y = 15 - 2x
⇒ 4y = - 2x + 15 [divide both sides by 4]
⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)
<em>b) 6x + 12y = 45</em>
⇒ 6x + 12y = 45 [subtract 6x from both sides]
⇒ 6x - 6x + 12y = 45 - 6x
⇒ 12y = - 6x + 45 [divide both sides by 12]
⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)
New equations:
Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.
System of equations can have the following:
<u><em>No Solution:</em></u> the same slope (both lines will be parallel)
<u><em>One Solution:</em></u> different slopes and different y-intercepts
<u><em>Infinitely Many Solutions:</em></u> the same slope and y-intercept
Learn more about system of equations here: