4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
Answer:If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. ... The y -intercept is the point at which the parabola crosses the y -axis.
Step-by-step explanation:Just searched it up ;)
Answer:
The graph of the inverse function is the same that the graph of the original function
Step-by-step explanation:
step 1
Find the equation of the function in the graph
Let
f(x) ---> the function in the graph
we know that
Is a linear function
take the points (0,6) and (6,0)
<em>Find the slope of the linear function</em>
<em>Find the the equation of the linear function in slope intercept form</em>
we have
---> the y-intercept is given
substitute
step 2
Find the inverse of the function f(x)
Let
y=f(x)
<em>Exchange the variables (x for y and y for x)</em>
Isolate the variable y
Let
In this problem the graph of the inverse function is the same that the graph of the original function
Am thinking you need to dilate the shape by multiplying by 2 and draw your new image!!
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
