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WINSTONCH [101]
2 years ago
5

What are the solution(s) for the quadratic equation? Y=5x^2-9x+4 Show work

Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

Let's see

\\ \rm\rightarrowtail 5x^2-9x+4=0

\\ \rm\rightarrowtail 5x^2-5x-4x+4=0

\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0

\\ \rm\rightarrowtail (5x-4)(x-1)=0

\\ \rm\rightarrowtail x=4/5,1

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh
kicyunya [14]

Answer:

The center is \frac{1}{25} of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{5}{2}=2.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times{2.5}^2

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{25}{2}=12.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times12.5^2

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = \frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}

Hence the center is \frac{1}{25} of the whole target.

6 0
3 years ago
What is the common ratio of the sequence?
Murljashka [212]
6/-2 = -18/6 = -3

The appropriate choice is ...
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6 0
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What is the slope?<br><br><br> Bbcxsfjf
umka21 [38]

Answer:

The slope is 1 and the y intercept is 1

8 0
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Circle O has a circumference of 132 feet. What is the approximate area of a circle O?
Archy [21]

Answer:1387.96

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Step-by-step explanation:

5 0
3 years ago
Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc
Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0
3 years ago
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