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Aleksandr-060686 [28]
3 years ago
12

preston uses the bar diagram to represent 4x - 3 = 13. how would you use the bar diagram to solve for x

Mathematics
1 answer:
White raven [17]3 years ago
8 0
X=4 because4×4=16-3=13
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B because you get more for a cheaper price.
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3 years ago
What is the vertex of the parabola given by the equation y x^2+ 4?
max2010maxim [7]

Format of Quadratic Equation:  y = ax2 + bx + c

Given Quadratic Equation:  y = 2x2 - 3x + 3

Coefficient Variable Values:  a = 2 and b = -3 and c = 3

Axis of Symmetry:  x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex:  x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation:  y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula):  x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation:  y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity).  Note:  infinity symbol is sideways 8.         

4 0
3 years ago
Read 2 more answers
Type your answer and then click or tap Done.<br> Simplify -(x-2y) - y.
AlladinOne [14]

Answer:

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

 -y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 x • (x - 2y) -  (y - x)2

Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

 -y2

4 0
3 years ago
Read 2 more answers
What is the average of 4 1/2, 3 1/3, 2 , 2 1/6
Zinaida [17]

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12

\frac{12}{4} =3

Answer: 3

4 0
3 years ago
Suzannes school are painting a rectangular mural outside the buillding that will be 15 feet by 45 feet the students are also goi
tatuchka [14]

Answer:

THE LENGTH OF THE STUDENTS PAINTING=15/3=5

THE BREADTH OF THE STUDENTS PAINTING=45/3=15

AREA OF THEIR PAINTING=15×5=75

4 0
3 years ago
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