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fiasKO [112]
2 years ago
5

If the function f (2) 3x2 + bx + 2 has no real roots, which of the following could be the value of b? -7, -1, 8, 0

Mathematics
1 answer:
lina2011 [118]2 years ago
3 0

Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

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How many subsets of at least one element does a set of seven elements have?
Tomtit [17]

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.

3 0
2 years ago
What is the value of 3x 2 squared + 5x when x=3
Serhud [2]
3•2=6. When you square 6, you get 36. Add 5x to that. 5x=15. 36+15=51

Cassie read 155 pages one day, and we need to find the unknown value of “x”. All you have to do is add 155+x=325.

6 0
3 years ago
If 2(x + 3) = x + 10, then x equals what
Rama09 [41]

Answer:

x=4

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You need to apply the Distributive property on the left member of the equation:

2(x + 3) = x + 10\\ 2x+6=x+10

2. Now, you must solve for x, as following:

2x-x=10-6\\ x=4


8 0
3 years ago
En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mie
liraira [26]

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

-------------------------

La trayectoria del primero es:

-x + 2y - 100 = 0

x_1 = 2y - 100

Para el segundo, tiene-se que:

-x + 200 + 2y = 0

x_2 = 2y + 200

Igualando los valores de x:

x_1 = x_2

2y - 100 = 2y + 200

0y = 300

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

Un problema similar es dado en brainly.com/question/24653364

3 0
3 years ago
Consider the triangle A(4,0), B(-2,4), C(0,6)<br> What will be the equation of the altitude BM?
katovenus [111]

Answer:

BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

<u>y = (2/3) x + 16/3</u>   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0
2 years ago
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