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2 years ago

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Mathematics

1 answer:

Arlecino [84]2 years ago

7 0

Answer:

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:

A.) Any real number

B.) Any real number except 5

C.) Any real number except 5 and -2

The value of y can be:

A.) Any real number

B.) Any real number except -2

C.) Any real number except 5 and -2

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Write the equation of the parabola in vertex form. Vertex: (−4,6); Point: (−2,−2)

gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0

2 years ago

Multiply (x-1)(x³+4x²+4x-1) and combine like terms. Explain how you reached your answer.

Hitman42 [59]

Answer:

x⁴+3x³ -5x +1

Step-by-step explanation:

To multiply this we are going to multiply each term of the binomial by each term of the polynomial.

$(x-1)(x^{3}+4x^{2} +4x-1)\\=x^4+4x^3+4x^2-x -x^3-4x^2-4x+1$

Now we are going to combine like terms (this means we are going to sum up terms with the same exponent)

$x^4+4x^3+4x^2-x -x^3-4x^2-4x+1 = x^4 +(4x^3-x^3)+(4x^2-4x^2)+(-x-4x)+1\\=x^4+3x^3-5x+1$

Thus, the answer is x⁴+3x³ -5x +1

5 0

2 years ago

Need help on geometry!!!

FromTheMoon [43]

The mid point of DE is (3,-1)
This can be found with Pythagorean Theorem

The length of “a” is 6. The length of “b” is 4.
The length of DE is ≈ 7.21. The midpoint of this value is found at coordinates (3,-1)

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3 years ago

A. Plot 13.58 on a number line on which the long

Lerok [7]

Answer:

Se attached for plots and here is position of the numbers:

a. Plot 13.58 on a number line on which the long

tick marks are whole numbers.

13 < 13.58 < 14

b. Plot 0.193 on a number line on which the long

tick marks are tenths.

0.1 < 0.193 < 0.2

c. Plot 26.9999 on a number line on which the

long tick marks are thousandths.

26.999 < 26.9999 < 27.000

4 0

2 years ago

Nearest hundred the number 324

tangare [24]

300 because it's not at 50 or above 50 yet

5 0

2 years ago

Read 2 more answers