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mel-nik [20]
2 years ago
5

Which statements are correct for all values of x?

Mathematics
1 answer:
MissTica2 years ago
7 0

Answer:

C.

Step-by-step explanation:

3(2x + 1)=6x + 3

3*2x=6x, 3*1 = 3

so therefore 3(2x+1)=6x + 3

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Can anyone help me solve this Algebra 2 Problem, i literally cant figure it out
Andrews [41]

Answer:

Zeros : 1 , -1, 3

Degree : 4

End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞

Y - intercept : -3

Extra Points: (0,-3), (2,-3)

Step-by-step explanation:

f(x) = 0 to find the zeros

Therefore (x+1)(x-1)^{2} (x-3) = 0

Clearly x = -1,1,3

Here 1 is a repeating root as it is (x-1)²

Degree is highest power of x in f(x)

Clearly it is x*x²*x = x⁴ is the maximum power of x

Thus degree is 4

Looking at end behavior we substitute x->∞ and x-> -∞

Clearly f(x)>0 as all terms are positive and f(x)->∞

Similarly when x->-∞

f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞

Y-Intercept is f(0)

f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3

Thus Y-Intercept is -3

Substitute x = 0 , 2 for extra points

Thus f(0) = -3

and f(2) = -3

Thus points on the graph (0,-3), (0,2)

We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.

5 0
3 years ago
A gate is made up of a rectangle and has a height of 6ft find the area of the gate
Snezhnost [94]

Answer: The area is 18ft

6 0
3 years ago
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to
Nastasia [14]
Berto can purchase 12/3.75 gallons, this is 3.2 gallons of gas. So the coordinate on this line would be (3.2, 12).
Good Luck! :D

6 0
3 years ago
Read 2 more answers
Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that ap
Anastaziya [24]

Given a trapezoid WXYZ. In a trapezoid one pair of opposite sides are parallel .Parallel lines have same slope.Slope of line parallel to x axis is 0.If the line starts at the bottom left and goes towards the top right it has negative slope.

All that is true for Trapezoid WXYZ are:

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept



8 0
2 years ago
Read 2 more answers
One canned juice drink is 25​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Talja [164]
11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.


4 0
2 years ago
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