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sweet-ann [11.9K]
2 years ago
13

Consider the quadratic function:

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

Step-by-step explanation:

I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:

h=\frac{-b}{2a}  and

k=c-\frac{b^2}{4a}

(Just a fun fact:  Those expressions come from the quadratic formula that help us to factor a quadratic equation.)

Filling in for h:

h=\frac{-(-8)}{2(1)}  simplifies to

h = \frac{8}{2}=4

Filling in for k:

k=-9-\frac{(-8)^2}{4(1)}  which simplifies a bit to

k=-9-\frac{64}{4}  which simplifies a bit more to

k=-9-16=-25

The vertex, then, is (4, -25).

You would also find this if you completed the square.  But again, I'm not sure how you're solving for the vertex in class.

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In a sale, all prices are reduced by 25%. Work out the
Leno4ka [110]

Answer:

1650

Step-by-step explanation:

2200*.25=1650 sale price

6 0
3 years ago
Supongamos que estás en el infierno y el diablo te reta a un juego. Él piensa en un número natural.Cada día, tú tendrás una opor
Blababa [14]

Answer:

En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con n, de modo que el participante pasará en el infierno únicamente n días, algo pequeño en comparación con la eternidad.

Step-by-step explanation:

Los números naturales comprenden el subconjunto más pequeño de los números reales conformado por los siguientes elementos:

\mathbb{N} = \{1,2,3,4,...\}

Sea n \in \mathbb{N} el número que tiene el diablo en su mente, tal que n \geq 1. Comenzamos el primer día con 1, si este no corresponde con n. Entonces se utiliza 2 al día siguiente y este no corresponde, se emplea al día siguiente y así sucesivamente hasta conseguir n.

En síntesis, se inicia con el número natural más pequeño en el primer y se prosigue con los números siguientes en caso de no dar con n, de modo que el participante pasará en el infierno únicamente n días, algo pequeño en comparación con la eternidad.

6 0
2 years ago
May you please help me with number 12 a. and b. and show work. thank you
notka56 [123]
(a)7x4=28
2x2=4
28-4=24
24-1=23 points
(b)20/4=7 correct answers
6 0
3 years ago
Read 2 more answers
Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?
melamori03 [73]

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

3 0
2 years ago
Can someone help please?
Serggg [28]

Answer:

lower bound: 315 litres

upper bound: 324 litres

Step-by-step explanation:

The following rules apply:

  • if the last digit of the number is 1, 2, 3, or 4; it is rounded down
  • if the last digit of the number is 5, 6, 7, 8, or 9. ; it is rounded up

So:

314 is  rounded to 310

315 is  rounded to 320

324 is  rounded to 320

325 is  rounded to 330

3 0
3 years ago
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