Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.
From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).
The equation to find the slope is:
m = 
Let's substitute in our values:
m = 
Remember that two negatives make a positive, let's solve for m:
m = 
Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).
Therefore we can determine that b = -6.
Let's substitute our value for m and our value for b into the slope-intercept formula:
y = mx + b
<u>y = </u><u>x + -6</u>
There's your final answer! I hope this helps, have a great night. :)
Hello.
C would be your answer.
Hope it helps :)
Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:
0.28X = 81
X = 81/0.28
X = 289.29 grams
Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
<u>Answers:</u>
These are the three major and pure mathematical problems that are unsolved when it comes to large numbers.
The Kissing Number Problem: It is a sphere packing problem that includes spheres. Group spheres are packed in space or region has kissing numbers. The kissing numbers are the number of spheres touched by a sphere.
The Unknotting Problem: It the algorithmic recognition of the unknot that can be achieved from a knot. It defined the algorithm that can be used between the unknot and knot representation of a closely looped rope.
The Large Cardinal Project: it says that infinite sets come in different sizes and they are represented with Hebrew letter aleph. Also, these sets are named based on their sizes. Naming starts from small-0 and further, prefixed aleph before them. eg: aleph-zero.
For a linear function, the instantaneous rate of change is everywhere equal to the slope. Thus the rate of change of the function h(x)=2x on the interval 2≤x≤4
The rate of change of the function given will equal to its slope, thus;
slope,m=(y-1-y)/(x_1-x)
=(2*4-2*2)/(4-2)
=(8-4)/2
=4/2
=2
the answer is 2
