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stira [4]
3 years ago
15

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-0.5x^2+0.7x-5.1

Mathematics
2 answers:
lianna [129]3 years ago
8 0

Answer:

The domain of the equation is all real number and the range of the equation is (-∞,-4.885].

Step-by-step explanation:

The given quadratic equation is

y=-0.5x^2+0.7x-5.1

Use a graphing calculator to sketch the graph of the quadratic equation.

The graph of given quadratic equation is shown below.

From the graph it is clear that it is a downward parabola and the vertex of the parabola is (0.7,-4.885).

The function is defined from all values of x, therefore the domain of the function is all real number.

The vertex of the parabola is (0.7,-4.885). It means the maximum value of the function is -4.885 and the value of y cannot be more than -4.885.

So, the range of the function is

Range=\{y|y\leq -4.885\}

Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].

blsea [12.9K]3 years ago
4 0
The graph below is on the scale of five and I hope it is helpful.

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What is the sum of (3x^2+ 5x +6) and (25x^3+ 10x² + 7x– 3)
muminat

Answer:

25x³ + 13x² + 12x + 3

Step-by-step explanation:

(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)

3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3

25x³ + 3x² + 10x² + 5x + 7x + 6 - 3

25x³ + 13x² + 12x + 3

6 0
3 years ago
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
melamori03 [73]

Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

3 0
2 years ago
Solve the problem.
marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0
3 years ago
Point M belongs to AN , point N belongs to BM , AB = 18 in and AM : MN : NB = 1:2:3. Find MN.
yulyashka [42]

MN = 6 in

add the parts of the ratio, 1 + 2 + 3 = 6

divide AB by 6 to find 1 part of the ratio

\frac{18}{6} = 3 ← 1 part

AM = 3 in ← 1 part

MN = 2 × 3 = 6 in ← 2 parts

NB = 3 × 3 = 9 in ← 3 parts

and 3 + 6 + 9 = 18 in = AB


3 0
3 years ago
Please do all of the attachments, quick. It is due please
Shkiper50 [21]
First attachment = 3
Second attachment = -7
Third attachment = 25
3 0
3 years ago
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