Answer:
(-5,-28)
Step-by-step explanation:
Given

Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is

By comparison;

To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;

Substitute 10 for b and 1 for a



Substitute
in the given function;




<em>Hence, the coordinates of the vertex is (-5,-28)</em>
Answer:
C=0,10E+5
Step-by-step explanation:
La respuesta es que la expresión que indica el costo mensual "C" en función de la energía "E" consumida es:
C=0,10E+5
Esto teniendo en cuenta que se indica que hay una tarifa fija de $5 por mes y que a esto se debe sumar el resultado de multiplicar la energía consumida por el valor del kilowatt-hora.
Hi there!
We can use right-triangle trigonometry to solve.
We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.
cosθ = Adjacent/Hypotenuse
We can plug in what is given:
cos(28) = A/17
Solve for 'A':
17cos(28) = <u>15.01 ft</u>
this is the correct answer
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
✔ YES THEY ARE CONFIRMED