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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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You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?
nevsk [136]

Answer:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

8 0
3 years ago
1. One liter is equal to 1,000<br> milliliters. How many liters are<br> equal to 18,045 milliliters?
aksik [14]

Answer:

18.045

Step-by-step explanation:

because you will have 18liters and because of 045 you would let it stay the same and instead of a coma you would put a period.

hop this helps

4 0
2 years ago
Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow require
kotegsom [21]

Answer:

4

Step-by-step explanation:

Given that:

Total yards of satin bought by Maddie = 3\frac{2}{3} yards

Number of yards required make one ribbon = \frac{2}{3} yards

To find:

Number of complete bows that can be made ?

Solution:

First of all, let us learn about converting the mixed fraction to fractional form.

Formula:

a\dfrac{b}{c} = \dfrac{a\times c+b}{c}

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}

One hair bow requires \frac{2}{3} yards of ribbon.

Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.

Answer is:

\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4

4 hair bows can be made.

4 0
2 years ago
Which of the binomials below is a factor of this trinomial? x² - 4x-12 ​
noname [10]

Answer:

(x +2) (x-6)

Step-by-step explanation:

x^2 -6x + 2x + 12 =

x^2 -4x + 12

5 0
3 years ago
A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?
SashulF [63]
For a half- life, the formula is
A(t) = A0(0.5)^( t / t_0.5)
where A(t) is the amount of substance at time t
A0 is the initial amount of subtance
t_0.5 is the time it will reduce its amount to half
t is the time

substitute the given to the formula
A(t) = 100(0.5)^( t/6 )
so the decay factor is 0.5^( t/6 )
6 0
3 years ago
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