Answer:
d
Step-by-step explanation:
-3(4x+2)-2x
-12x+6-2x
-14x+6
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:
x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>
Explanation:</h2>
The pattern of the quadratic function is:
Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:
Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
- The red parabola has been shifted three units right and two units up to match the blue parabola.
This is so because, for any function:
We have the following transformations:
On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is . The y-intercept is (0, 11) is indicated in the figure.
<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.
Answer:
x=4
Step-by-step explanation:
Let he first piece be x the second be 3x and the very last one be 7x + 2
Add all the pieces together and you ought to get the length of the rope which is 46 ft
So your equation would be
x + 3x + 7x + 2 = 46
11x = 44
x = 44 / 11
x = 4
so the 3 pieces are 4 , 12 and 30ft
