Can you please help me understand how to change 4x+y=7 into a slope intercept form?
Your goal with these sort of questions is to express this equation in terms of y = mx + b where m = the slope and b = the y intercept (where the line of the graph will cross the vertical axis when x=0). You are given, 4x + y = 7 start by solving for y. y = -4x + 7 You're done! Your slope is -4, and your y-intercept is 7.
Math - can anyone help me understand how they go the answer to this? Please try to provide steps I am struggling.?
Use substitution to solve the system of equations x+y=44 and 16x+8y=544. Solve the first equation for y to get y=44 - x. Substitute 44 - x for y in the second equation and simplify. 8x + 352 = 544
I have no idea how to answer this please help me understand the process.?
An experiment was conducted comparing the drag force of a fluid (in N) with its velocity (in m/s). The straight line equation y = 15.3 x was obtained when the drag force was plotted on the y-axis and the velocity squared was plotted on the x-axis. Using the best-fit line equation, what velocity would be obtained if the drag force is 33.8 N?
How can I understand C++ pointers inside and out? Even after 3 semesters of C++ programming (including data structures), I still don't fully understand how pointers work.
Box-and-arrow diagrams.A normal variable is a box, and its value is the contents of the box."int y" creates a box which holds ints (and has nothing in it)."y = 3" puts "3" into the box y."x = y" puts the contents of y into the box x.In the last example, "x" stood for the box itself, but "y" stood for the contents of the box. This is because x was being assigned into, and y was not. Make sure you appreciate this point; it's the main source of difficulty.A pointer is an arrow pointing to a box."&x" is a nameless arrow pointing to the box x."*x" is the contents of the box x points to."T* x" (where T is a type) means "x is an arrow that points to boxes containing Ts""*x = *y" means "move the contents to the box y points to into the box x points to""x = y" (as pointers) makes x point to the box y points toIn the last example, "x" stood for the arrow itself, but "y" stood for the box the arrow y points to, similar to the last example for ordinary variables.So there are three things to keep track of: the arrow, the box the arrow points to, and the value inside the box. Figure out which one you're talking about, and you'll be fine.
How can I understand each the variables in y=mx+b?
This is a first degree polynomial, because the variable, x, has the power 1.First, we assume a 2D Cartesian coordinate space , in which any point is represented by a pair of 2 numbers (x,y).The terms of this equations are:y, the ordinate, representing the y in the pair, the vertical distance from origin (0,0).m, the slope of the polynomial, representing how tilted the graph of the function is.x, the actual variable of the polynomial. The changing values of x over the domain with the constants m and b.b, is the y-intercept or as translated from Romanian, ordinate at origin, because when x is 0, the product m*x becomes 0, so y=b.To understand how these terms influence the values of the function, the y, and also the graph, change the values of m and b, take 2 values of x, calculate y and then draw the graph.If you study a bit the function, you will see that:if m=0 you will get a constant function, with the graph parallel to X-axis.if x > 0, if you read the graph from left to right, the line you get tends to go to +∞ and if x < 0, the line tends to go to -∞.if x=±1 and b=0 you will get the bisectors of the coordinate space or, if b≠0 you will get lines parallel with these bisectors.And other things. The English and the mathematics used in this one are at a basic level, and maybe it will help you understand better. Have fun studying!
Can someone help me understand the positive value of y' (1/3)y2+12=5x where x=3?
x = 3 1/3y² + 12 = 5x 1/3y² + 12 = 5(3) 1/3y² + 12 = 15 1/3y² + 12 - 12 = 15 - 12 1/3y² = 3 3(1/3y²) = 3(3) y² = 9 √y² = ± √9 y = ± 3 Insert the y value into the equation - - - - - - - - Check 1/3y² + 12 = 5x 1/3(3)² + 12 = 5(3) 1/3(9) + 12 = 15 9/3 + 12 = 15 3 + 12 = 15 15 = 15 - - - - - - - - The solution set { 3, 3} - - - - - -s-
Can you help me understand this graph? Its not hard. Im just stupid?
assuming "mass on the y axis and volume on the ***X*** axis" It's a plot of volume as a function of mass, which usually is not something that varies, that is, it should be a straight line through the origin. mass = volume x density The slope is density from the above equation. y-intercept is the mass when the volume is zero, which should also be zero. This assumes this is a simple set of measurements on an object. .
Please help me understand! (: find the graph of the inequality y>= 2x - 3?
First, pretend as if you're graphing y = 2x - 3. You plot the y-intercept of -3 first. Then, you go up 2 and over 1 from that point since the slope is 2. This would give any of the 4 lines in the graphs (they went up 4 and over 2 to get to the point (2,1) from the y-intercept of (0, -3)). Then, since this is >=, you want the line to be solid. If it was just >, you want the line to be dashed. So, now we're down to B or C. Last, since it is >, you shade 'above' the line. If you have >, which is greater than, you shade above the line. If you had < or less than, you would shade below the line. So, the correct answer is (C). Hope this helps you!
How can we understand the equation of the cylinder x^2+y^2=a^2? What is the term 'a'?
The given equation represents all those points ([math]x,y,k)[/math] whose distance from the Z-axis is equal to a. Clearly, [math]a [/math]represents the radius of the cylinder.The equation of the Z-axis in parametric form is :[math]x=0, y=0, z=k[/math]Thus, the distance of the point [math](x,y,k)[/math] from the point[math](0,0,k)[/math] is[math]\sqrt{x^2+y^2}[/math]For a cylinder, this distance has to be equal to its radius, i.e. [math]a[/math].P.S.: Here,[math](x,y,k)[/math] is a point on the same cross section as point [math](0,0,k),[/math] because the distances are measured perpendicular to the Z-axis.(axis of the cylinder).