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Nana76 [90]
3 years ago
6

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0

Answer:

(-6,0),(2,0)

Step-by-step explanation:

x-intercept

at x-intercept y=0

f(x)=x^2+4x-12

x^2+4x-12=0

by using factorisation method

product=-12

sum=4

factors=6,-2

(x^2 -2x)+(6x-12)=0

x(x-2)+6(x-2)=0

(x+6)(x-2)=0

x+6=0, x-2=0

x= -6,x=2

Lilit [14]3 years ago
3 0

Answer:

The <em>x</em> intercepts would be (-6; 0) and (2; 0).

Step-by-step explanation:

Take a look at the picture.

Calculate it replacing f(x) with 0. The result will be: x1 = -6, x2 = 2 (consequently, both y's equal 0).

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3 years ago
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Alan is currently at a point that is 346.8 ft above sea level. He is planing to travel to Bombay beach, California, which is 236
goldfiish [28.3K]

Answer:

110.8 feet

Step-by-step explanation:

Find the difference in sea level by subtracting 236 from 346.8:

346.8 - 236

= 110.8

So, the difference in sea level is 110.8 feet

3 0
3 years ago
I need help with question number 29
muminat
A= (bh)/3
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4 years ago
Durante una venta de liquidación, el Sr. Pablo, un profesor particular, compró un total de 12 libros de asesoría de Secundaria 4
Flauer [41]

Resolviendo un sistema de ecuaciones, vemos que se venden 6 libros de secundaria 4 y 6 libros de secundaria 1.

<h3>¿Como escribir un sistema de ecuaciones?</h3>

Primero definimos dos variables:

  • x = numero de libros de secundaria 4 vendidos.
  • k = número de libros de secundaria 1 vendidos.

Sabemos que se venden 12 libros en total, entonces:

x + k = 12

Tambien sabemos que se recauda un total de $82, entonces:

x*$8 + k*$6 = $82

Entonces tenemos dos ecuaciones.

a) Usando la primer ecuacion, podemos aislar x para tener:

x = 12 - k

b) Ahora podemos reemplazar eso en la otra ecuación para solucionar el sistema.

(12 - k)*$8 + k*$6 = $82

$96 - $2*x = $82

$2*x = $12

x = $12/$2 = 6

Es decir se venden 6 libros de secundaria 4, y como se venden 12 libros en total, los otros 6 libros vendidos son de secundaria 1.

Si quieres aprender más sobre sistemas de ecuaciones:

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4 0
2 years ago
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y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"


For lines to be parallel, the slopes have to be the same.

The given line's slope is 1/2, so the parallel line's slope is also 1/2.

y = 1/2x + b

To find "b", you can plug in the point (10, -5) into the equation.

y = 1/2x + b

-5 = 1/2(10) + b

-5 = 5 + b    Subtract 5 on both sides to get "b" by itself

-10 = b


y = 1/2x - 10    Your answer is D (you could have just found the slope to get your answer, since all the slopes are different)


8 0
3 years ago
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