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xenn [34]
3 years ago
11

The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

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At maximum speed an airplane travels 2100 miles against the wind in 6hrs. Flying with the wind the plane can travel the same dis
WARRIOR [948]
Let, the speed of Airplane = x
Speed of Wind = y

We know, Speed = Distance / Time

So, x-y = 2100 / 6
x-y = 350
& x+y = 2100/4
x+y = 525

Substitute value of x from equation 1 into 2, 
350+y+y = 525
2y = 525-350
y = 175/2
y = 87.5

& x = 350+y = 437.5

In short, Speed of Airplane is 437.5 mph and Wind is 87.5 mph

Hope this helps!
6 0
3 years ago
What is the area of the parallelogram?
Assoli18 [71]
Not 100% sure but I think the answer is B.193.6 m² sorry if I'm wrong
3 0
3 years ago
Read 2 more answers
Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.
valkas [14]

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.

8 0
3 years ago
The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does
ELEN [110]

Let b be the number of baseball and k be the number of basket ball.

We have the following system:

\begin{cases}b=4k\\b+k=25\end{cases}

Substitute the first equation into the second:

4k+k=25 \iff 5k=25 \iff k=5

which yields

b=4k=4\cdot 5 = 20

So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.

5 0
3 years ago
Ana ganha 1200,00 reais em seu trabalho, se ela gastar um quinto em comida e dois terços do que sobrar em aluguel, quanto sobra,
lidiya [134]

Answer:

Ana fica com a quantia de 560

Step-by-step explanation:

Dado

Ana ganha = 1200

Ela gasta um quinto com comida e dois terços do que resta com o aluguel

Valor que sobrou com Ana depois de gastar com comida e aluguel

1200 - 1/5 (1200) - 1/3 (1200)

1200 - 240 -400

1200 -640

560

Ana fica com a quantia de 560

3 0
3 years ago
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