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borishaifa [10]
3 years ago
8

HS: Algebra 2A [M] (Prescriptive) (GP)/ 5 Quadratic Functions

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

Linear, the linear term is -21x and the constant term is -20. Last option is the answer

Step-by-step explanation:

We are given the following function:

y = (x - 5)(5x + 4) - 5x^2

First we have to simplify y, before solving the question:

y = (x - 5)(5x + 4) - 5x

Applying the distributive property:

y = 5x^2 + 4x - 25x - 20 - 5x^2

y = 0x^2 - 21x - 20

y = -21x - 20

No quadratic term, so it is linear.

The linear term is -21x and the constant term is -20.

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At the ice cream shoppe ,one banana split and five milkshakes cost $16.24.If three banana splits and two milkshakes cost $15.05,
34kurt

Answer: the cost of a milkshake is $2.59

Step-by-step explanation:

Let x represent the cost of a banana split.

Let y represent the cost of a milkshake.

At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as

x + 5y = 16.24- - - - - - - - - - - - -1

If three banana splits and two milkshakes cost $15.05. This is expressed as

3x + 2y = 15.05- - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 1, it becomes

3x + 15y = 48.72

3x + 2y = 15.05

Subtracting, it becomes

13y = 33.67

y = 33.67/13

y = 2.59

Substituting y = 2.59 into equation 1, it becomes

x + 5 × 2.59 = 16.24

x + 12.95 = 16.24

x = 16.24 - 12.95

x = 3.29

6 0
3 years ago
Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). Ho
BigorU [14]

Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

                                    = 4 × (AB)

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \sqrt{(2+2)^2+(7-1)^2}

AB = \sqrt{4^2+6^2}

AB = \sqrt{52}

AB = 2\sqrt{13}

Now area of  square ABCD = 4 × 2\sqrt{13}

                                              = 8\sqrt{13} unit

Therefore, option (1) will be the answer.

7 0
3 years ago
The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?
olya-2409 [2.1K]
I believe the answer is 0,2 or (0, 2.5)
7 0
2 years ago
Which of the following is equivalent to x^2 y^2/xy^2 when y=Ø and x=Ø ?
xxMikexx [17]
Based in your question where as ask on which of the following is the equivalent to x^2/xy^2 when y=0 and z=0 and based on my calculation and understanding the possible outcome of your equation will just result to zero but the answer is i think all of them
4 0
3 years ago
Help pretty pretty please :(
Evgen [1.6K]

Answer:

27/20

Step-by-step explanation:

The absolute value of any expression is always positive or zero

3/5 + 3/4

Add the fractions

27/20

Solution

27/20

Alternate form

1 7/20, 1.35

8 0
3 years ago
Read 2 more answers
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