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Yuliya22 [10]
3 years ago
9

Identify the vertex of the function h(x) = −2x2 + 10x + 1.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
The answer is vertex is (5/2, 27/2).

Find x= -b/2a where a=-2, b=10 then plug x value back into function to solve for y value of vertex (x,y).
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Solve for x: −2x − 4 &gt; 8<br><br> x &lt; −6<br> x &gt; −6<br> x &lt; −2<br> x &gt; −2
ivann1987 [24]

Step-by-step explanation:

first remove this -4

so add 4 on both side

-2x-4+4>8+4

-2x>12

then remove -2

so divide both side by - 2 if we multiply or divide by negative number so sign will reverse

x<-6

5 0
3 years ago
Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an ellipti
ASHA 777 [7]

The equation that models the movement of Tanus around Ini, where Ini is located at (0, 0) is x^2/75^2 + y^2/37.5^2 = 1

<h3>Write an equation that models the movement of Tanus around Ini, where Ini is located at (0, 0)</h3>

The given parameters are:

The length of Tanus’ major axis = 150 million miles

The length of its minor axis = 75 million miles

The center of the ellipse = (0, 0) --- the location of Ini

When the coordinate of the center of an ellipse is (0, 0), the standard form of the ellipse is represented as:

x^2/a^2 + y^2/b^2 = 1

Where:

Length of the major axis = 2a

Length of the minor axis = 2b

This means that:

2a = 150 and 2b = 75

Divide both sides of 2a = 150 by 2

a = 75

Divide both sides of 2b = 75 by 2

b = 37.5

Substitute b = 37.5 and a = 75 in the standard form of the ellipse represented as: x^2/a^2 + y^2/b^2 = 1

x^2/75^2 + y^2/37.5^2 = 1

Hence, the equation that models the movement of Tanus around Ini, where Ini is located at (0, 0) is x^2/75^2 + y^2/37.5^2 = 1

Read more about equation of ellipse at:

brainly.com/question/16904744

#SPJ1

3 0
2 years ago
What is the slope of the line shown below?
leonid [27]
The answer is A. -2/3
5 0
3 years ago
Mary takes a sightseeing tour on a helicopter that can fly 450 miles against a 35 mph headwind. In the same amount of time it ca
monitta

Answer:

V = 160mph

Step-by-step explanation:

We need to start from the formula of speed: V=d/t

We have two travels, with and against the wind, both done in the same time.

Clearing t from the formula, we will have: t=d/V2

450miles/V-35mph (speed of the wind is subtracted)

702miles/V+35mph (speed of the wind is subtracted)

Now, we find V:

450miles/V-35mph = 702miles/V+35

450*V+35 = 702*V-35

450V+15,750 = 702V-24,570

702V-450V = 15,750 + 24,570

252V = 40,320

V = 40,320/252

V = 160mph

5 0
3 years ago
Help please with this question
N76 [4]

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

6 0
3 years ago
Read 2 more answers
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