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Ainat [17]
3 years ago
5

Which ordered pairs lie on the graph of the exponential function f(x)=-3(x-1)+2

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

(-1,2), (1,1), (0,0), (4,-25)

Step-by-step explanation:

Hope this helps!!

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Please walk me through how to do this so I can di the other questions​
Naddik [55]

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

3 0
3 years ago
Please help with accounting. Use the following information to complete the partial worksheet for Bill’s Company. Record the appr
Ket [755]

If I am reading this right, it looks like the 10, 3, 2, 1 are Adjustments and the Adjusted TB should equal the difference. Make sure you know how to add and subtract the debit and credit adjustments correctly.

TB +/- Adj = ATB

6 0
3 years ago
Maya wants to buy a piano. The piano measures 19/4 feet long. She has a space 5 feet long for the piano in her house. Does she h
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Yes, 19/4 is only 4/3/4 so you still have 1/4 ft left to fill
8 0
3 years ago
The shortest side of a triangle is 9 greater than twice the shortest side of a similar triangle. If the ratio of similitude is 7
chubhunter [2.5K]
63:27 is the answer... 
7 0
3 years ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.
marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

{a^m} \cdot {a^n} = a^{(m+n)}

\dfrac{a^m}{a^n} = a^{(m-n)}

\sqrt[m]{a^n} = a^{\frac{n}{m}}

(a^m)^n = a^{m\times n}

(m\times n)^a = m^a\times n^a

The expression can be written as x^9\sqrt[3]{y}.

Given to us

  • (x^{27}y)^\frac{1}{3}

(x^{27}y)^\frac{1}{3}

Using the exponential property(m\times n)^a = m^a\times n^a,

=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}

Using the exponential property \sqrt[m]{a^n} = a^{\frac{n}{m}},

=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}

Hence, the expression can be written as x^9\sqrt[3]{y}.

Learn more about Exponent properties:

brainly.com/question/1807508

5 0
2 years ago
Read 2 more answers
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