Y=amount of money paid. (in $)
x=number of songs download.
We have this function:
y=0.25x+9.99
Then:
if y=113.74
113.74=0.25x+9.99
0.25x=113.74-9.99
0.25x=103.75
x=103.75 / 0.25
x=415
Answer: the number of songs downloaded would be 415.
Answer:
The answers for your two problems, can be found below in the attached images.
Problem 1
Graph
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = x^2 + 4x +3
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-2,-1)
Axis of symmetry
The x axis corresponding to the vertex component
x = -2
y intercept
Interception with the y-axis
From the first attached image, we can see that they y intercept occurs
at x = 0, y = 3
(0,3)
Problem 2
Graph.
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = 2x^2 + 3x +1
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-0.75,-0.125)
Axis of symmetry
The x axis corresponding to the vertex component
x = -0.75
y intercept
Interception with the y-axis
From the second attached image, we can see that they y intercept occurs
at x = 0, y = 1
(0,1)
Let x,y be the two numbers.
Given that one number is 5 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+5. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x*y = 84, let us plugin y=x+5 here.
x*(x+5) = 84
x^2 + 5x -84 = 0.
x^2+12x-7x-84 = 0
x(x+12)-7(x+12) =0
(x-7)(x+12)=0
That is x= 7 or -12.
If x=7, y= 7+5=12.
If x=-12, y= -12+5 = -7.
Hence two positive numbers corresponding to given conditions are 7,12.
And two negative numbers corresponding to given conditions are -12,-7.
Answer:
See below.
Step-by-step explanation:
2b + 8 − 5b + 3 = −13 + 8b − 5
Reorder like terms.
2b-5b+8+3=8b-13-5
Combine those like terms. Then solve.
-3b+11=8b-18
-11 -11
-3b=8b-29
-8b -8b
-11b=-29
/-11 /-11
b=2.64
-hope it helps
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