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nekit [7.7K]
3 years ago
6

Find the difference. (5x2 + 2x + 11) − (7 + 4x − 2x2)

Mathematics
2 answers:
belka [17]3 years ago
7 0

Answer:

7x^2-2x+4

Step-by-step explanation:

(5x^2+2x+11)-(7+4x-2x^2)

Breaking the parentheses using the law of signs for addition / subtraction:

5x^2+2x+11-7-4x+2x^2

Combining like terms:

(5x^2+2x^2)+(2x-4x)+(11-7)

add/subtract like terms:

7x^2-2x+4

k0ka [10]3 years ago
6 0
<span>(5x^2 + 2x + 11) − (7 + 4x − 2x^2)
= </span>5x^2 + 2x + 11 − 7 - 4x +  2x^2
= 7x^2 - 2x + 4
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Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)
Vinil7 [7]
By graphing the points, The best mode of the data will be the quadratic function

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ Plot the data pairs (x, y) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ Draw the parabola you think best fits the data.
                             Which is the red function in the attached figure.

Third step         ⇒ Estimate the coordinates of three points on the
                             parabola, which are (-1, 0), (2, -3), and (5, 12).

Fourth step       ⇒ Substitute the coordinates of the points into the model
                            y = ax² + bx + c
                            to obtain a system of three linear equations.

                            a - b + c = 0           ---------(1)
                            4a + 2 b + c = -3    ---------(2)
                            25a + 5 b + c = 12 ---------(3)   

Fifth step   ⇒ Solve the linear system.
                      By using the calculator
                      a = 1 , b = -2 , c = -3

So, the quadratic model for the data is ⇒ y = x² - 2x - 3


7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house. the cost of one
natima [27]

Answer:

Cost to paint 4 walls of a room = $24.20

Cost of painting 3 walls of a room =$18.15

Step-by-step explanation:

(a) Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house.

4\frac{2}{5}gallons \ of \ paint = \frac{4*5+2}{5} =\frac{22}{5}

1 gallon cost = 5.50

So 22/5 gallons cost = \frac{22}{5} * 5.5= 24.20

Cost to paint 4 walls of a room = $24.20

(b)cost of painting 4 walls of a room = $24.20

cost of painting 1 wall of a room = \frac{24.20}{4} =6.05

Cost of painting 3 walls of a room = 6.05 * 3= $18.15

7 0
3 years ago
Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
3 years ago
What is 8/15÷2/5?What so u think is the best answer for this problem??
Mademuasel [1]

Answer:

1 1/3

Step-by-step explanation:

Solve. Change the division sign into a multiplication, and flip the second fraction:

(8/15)/(2/5) = (8/15) x (5/2)

Multiply across:

(8 x 5)/(15 x 2) = (40)/(30)

Simplify. Divide common factors:

(40/30)/(10/10) = 4/3

4/3 or 1 1/3 is your answer.

~

5 0
3 years ago
Read 2 more answers
How to solve -12+7x=x
lord [1]

Answer:

x=2

Step-by-step explanation:

So if the equation is -12+7x=x, you need to subtract 7x, because you want to know the value of x. So the equation now looks like this: -12=-6x

you divide-6 to both sides because we want to iscolate the x

The answer is x=2

Hope it helps!

3 0
3 years ago
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