1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
Answer:
Step-by-step explanation:
Given that,
Outcomes Heads= 4heads and
Outcomes Tails= 6tails
Total outcome of events n=10
Probability of head in is first throw is, the is the outcome of head divide by the total possible outcomes
P(Head in first throw)=4/10
P(H)=2/5
P(H) = 0.4
P(H) =40%
<span>The cube’s sides measures 6 inches and the measurement for
the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches
high. To compute for the volume of a cube you must use the formula of V = a3
and for the rectangular prism is V = l x w x h.</span>
<span>Cube: V = 6^3
</span> <span>V = 216 inches^3</span>
<span>Rectangular Prism: V
= 10 x 4 x 4</span>
<span>
V
= 160 inches^3</span>
To identify how much greater the volume the cube from the
rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of
cube and R for the volume of Rectangular Box
<span>
N = 216 inches^3 – 160 inches^3
</span>
<span>N = 56 inches^3</span>
<span>
So the cube is 56 inches3 greater than the
rectangular box.</span>
Answer:
21 containers
Step-by-step explanation:
21/1=1