MATHEMATICS HIGH SCHOOL

Which equation is true for x = –6 and x = 2?2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answers

Answer 1

Answer:

we know that

using a graph tool

let's proceed to graph each case to determine the roots

case 1) $2x^(2) - 16x + 12 = 0$

the roots are

$x1=0.8\ x2=7.2$ ------> is not the solution

see the attached figure N $1$

case 2) $2x^(2) +8x -24 = 0$

the roots are

$x1=-6\ x2=2$

see the attached figure N $2$ --------> is the solution

case 3) $3x^(2) - 4x - 12 = 0$

the roots are

$x1=-1.4\ x2=2.8$ ------> is not the solution

see the attached figure N $3$

case 4) $3x^(2) +12x +36 = 0$

the graph does not have x-intercepts

see the attached figure N $4$ ------> is not the solution

therefore

the answer is

the solution is

$2x^(2) +8x -24 = 0$

Answer 2

Answer: Second statement 2x2 + 8x – 24 = 0 Is true for the given conditions. When x = -6 2x2 + 8x – 24 = 0 Becomes 2(-6)2 + 8(-6) – 24 = 0 2(36) - 48 - 24 = 0 72 - 48 - 24 = 0 0 = 0 Which is true. When x = 2 2x2 + 8x – 24 = 0 Becomes 2(2)2 + 8(2) – 24 = 0 2(4) + 16 - 24 = 0 8 + 16 - 24 = 0 0 = 0 Which is true. So 2x2 + 8x – 24 = 0 will be answer.

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Factor 2x2 + 11x + 15 symbolically , in time plz thank you

Answers

hi,

2x^2+11x+15=(x+3)(2x+5) <<<ANSWER

Hope that helps...

What is the surface area of a prism whose bases each have area 16 and whose lateral surface area is 65

Answers

Formula for Surface Area of a Prism: lateral area + area of 2 ends
Lateral area = 65
Area of base = 16 (2)
SA = 65 + 16(2)
SA = 65 + 32
SA = 97

The expression below is the factorization of what trinomial? (7x + 5)(2x - 3)

Answers

Answer:

The trinomial is $14x^(2)-11x - 15$

Step-by-step explanation:

We need to find the trinomial which has the factors $(7x + 5)(2x - 3)$

To find the trinomial , we need to multiply the factors

$(7x + 5)(2x - 3)$

multiply term wise,

$14x^(2)-21x +10x - 15$

$14x^(2)-11x - 15$

You can simply expand the factorised form out:
y = 14x² - 21x + 10x - 15
y = 14x² -11x -15

Judy is scuba diving at -7 meters, Nelda is scuba diving at -9 meters, and Rod is scuba diving at -3 meters. List the divers in order from the deepest diver to the diver who is closest to the surface.

Answers

Answer: Nelda (-9)- Judy (-7) -Rod (-3)

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Judy= -7 meters
Nelda = -9 meters
Rod = -3 meters

So, to list the divers from deepest to closest to the surface, we have to know that the higher the value of the negative number, the deepest the diver is.

So, from deepest to closest to the surface:

Nelda (-9)- Judy (-7) -Rod (-3)

Feel free to ask for more if needed or if you did not understand something.

its gonna be least to greatest so it would be Nelda Judy Rod

What is the surface area of the rectangular prism? 155 in² 270 in² 300 in² 310 in² rectangular prism with length labeled 4 inches, width labeled 5 inches, and height labeled 15 inches155 in² 270 in² 300 in² 310 in²