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inessss [21]
2 years ago
15

The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 + 6x. The university is hanging a

banner at the main entrance at an angle defined by the equation 4y = 21 − x. At what points should the banner be attached to the archway?

Mathematics
1 answer:
Yuliya22 [10]2 years ago
6 0

Answer:

The point at which the banner should be attached to the archway is going to be given by the point(s) at which the two equations intercept:

y = -x^2 + 6x and 4y = 21 − x

Solving the system of equations, we find that they intercept at: (1, 5) and (5.25, 3.938)

Therefore, the banner should be attached to the archway at the points (1, 5) and (5.25, 3.938)

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3 years ago
Lucio quiere repartir su colección de estampillas entre la mayor cantidad de amigos pero de manera que todos reciban la misma ca
Daniel [21]

Answer:

Lucio podrá armar 5 grupos iguales de estampillas.

Step-by-step explanation:

El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:

-30: divisible por 2, 3, 5, 6, 10, 15 y 30.

-75: divisible por 3, 5, 15, 25 y 75.

-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.

Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.

Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.

4 0
3 years ago
Please answer ASAP i need help please explain.
Phoenix [80]

Answer:

no

Step-by-step explanation:

3/4-2/3=9/12-8/12=1/12

4 0
3 years ago
How can you solve:<br> = 30<br> Using the following numbers<br> 1, 3, 5, 7, 9, 11, 13, 15
suter [353]
The numbers you use are
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This is allowed because you can use any number and you can also repeat and in Brazil they right their decimals as 13,5 but in America it’s 13.5
3 0
3 years ago
Select all the coordinates below that are solutions to the inequality: 2x+3y&lt;6
Gnesinka [82]

Answer:vyyghpiutsryu[0iutry-oiytuiutrrseftyuyutrtopouyeatryyuhgfdsfzrstytyuytryrszdfkjgfdrt78lkeswr8pyrrtypoiuyukuu;kihuiihnol v   bbb       u oi yu yoi yoi ui yo oui oi   ui ut

Step-by-step explanation:

i yu 7 78 77o7o o 7  7 7 t tii luuriit uir tru rt uiu yio

3 0
2 years ago
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