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Nina [5.8K]
3 years ago
11

Consider the graph of the quadratic function y = 2x2 – 4x + 2. How many zeros does the graph have?

Mathematics
2 answers:
Aneli [31]3 years ago
7 0
Y = 2x^2 - 4x + 2

y = 2(x^2 - 2x + 1)

2(x  - 1)^2 = = 0

so the graph will just touch the x axis at x = 1

So there is one zero  duplicity 2.
soldier1979 [14.2K]3 years ago
4 0
<h2>Answer:</h2>

The graph has:

                  One zero with multiplicity  2.

<h2>Step-by-step explanation:</h2>

We are given a quadratic function in terms of the variable x as:

                            y=2x^2-4x+2

The number of zeros of this function is equal to the number of points where the graph of this quadratic function intersects the x axis and the corresponding value of x is the root of this quadratic equation.

Hence, after plotting the graph of this quadratic function we observe that the graph meets the x-axis at just one point.

          Hence, the number of zeros of the graph is:

                          One.

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<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2x%7D%20%20%3D%2081" id="TexFormula1" title=" {3}^{2x} = 81" alt=" {3}^{2x}
Mamont248 [21]

Answer:

x= 12.64

Step-by-step explanation:

3 0
3 years ago
What is the value of d?<br><br><br><br> −5.5(d−2)=−12.1
Sveta_85 [38]

<u>answer:</u>  d = 4.2

<u>explanation:</u>

-5.5(d-2)=-12.1  | distribute the -5.5 into the parentheses

-5.5d + 11 = -12.1  | subtract 11 and move it over to -12.1

-5.5d = -23.1  | divide by -5.5

d = 4.2  | final answer


hope this helps! ❤ from peachimin

8 0
3 years ago
Read 2 more answers
Harper simplemente encendió una vela nueva y luego la dejó arder hasta la nada. La longitud de la vela que permanece sin quemar,
Fudgin [204]

Answer:

La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

Step-by-step explanation:

La función lineal se define por la ecuación

f(x) = mx + b

o

y = mx + b

donde m es la pendiente de la recta y b es la ordenada al origen.

La gráfica de una función lineal es siempre una recta.

Como se mencionó, la m es la pendiente de la recta. La pendiente es la inclinación con respecto al eje x, que es el eje de abscisas.

La pendiente m significa que si aumentamos la x en una unidad, la y aumenta en m unidades. Si m es positiva (m > 0), entonces la función es creciente. En cambio, si la m es negativa (m < 0), entonces la función es decreciente.

En este caso, siendo L=1.5 - 1.5t y comparando con la expresión y=mx + b, podes observar que el valor de la pendiente m es -1.5. Como m es un número negativo, entonces se trata de una función decreciente. En este caso este valor de pendiente indica entonces que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

<u><em>La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.</em></u>

4 0
3 years ago
Please help me with this
Tatiana [17]

Answer:

A= 65 in. ^2

Step-by-step explanation:

first make them into different shapes

I made 3 different rectangles

#1  4 by 6

#2   4 by 8

#3   3 by 3

for a area of a rectangles you do base times the height

#1  6*4 = 24

#2  4*8 = 32

#3   3*3 = 9

now you add them up

24+32+9

= 65 in. ^2

3 0
3 years ago
Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
iVinArrow [24]

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

A negation is an operation that "takes a statement and changes it to a statement whose true or false value is opposite". For example, if I were to say 2 + 2 = 4, the negation would be that 2 + 2 ≠ 4.

So, if Sam is an orange belt and Kate is a red belt, the negation is C. Same is not an orange belt and Kate is not a red belt.

Hope this helps!

5 0
4 years ago
Read 2 more answers
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