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3 years ago

18) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

x-axis only.

Step-by-step explanation:

2x = 5y2 - 3

Convert to vertex form:

x = 5/2 y^2 - 3/2

This is a parabola with axis of symmetry y = 0. The vertex is at (-3/2, 0) and it opens to the right.

The axis of symmetry is the x-axis ( y = 0).

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Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help

Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x - y = 7

x + 2y = 6

Step 2: Rewrite Systems

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

Step 3: Redefine Systems

7x - y = 7

x = 6 - 2y

Step 4: Solve for y

Substitution

Substitute in x: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

Step 5: Solve for x

Define original equation: x + 2y = 6
Substitute in y: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

7 0

3 years ago

Can you please help me?

Harlamova29_29 [7]

Answer: No

Step-by-step explanation: Because.

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Describe a real world situation between the area of a rectangle and its width, as the width varies and the length stays the same

raketka [301]

Area of rectangle = length x width If length is constant, say c and width is variable, say x Area of rectangle = y = cx This means Area will vary linearly with width and will represent a line with slope... hope I helped

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3 years ago

If f (x)=8-5x, find the value of f(2-k)

Helen [10]

Hello from MrBillDoesMath!

Answer:

f(2-k) = -2 + 5k

Discussion:

If f(x) = 8 - 5x , then

f(2-k) = 8 - 5(2-k) =>

f(2-k) = 8 - 10 + 5k =>

f(2-k) = -2 + 5k

Regards,

MrB

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3 years ago

Simplify the expression. 2³ times 2^5 A. 4^15 B. 4^8 C. 2^15 D. 2^8

Luden [163]

$(x^m)(x^n)=x^{m+n}$
so
$(2^3)(2^5)=2^{3+5}=2^{8}$
D is answer

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3 years ago

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