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vitfil [10]
2 years ago
7

Solve the equation for all real solutions in simplest form. 3x2 - 12x + 11 = x

Mathematics
1 answer:
Ivanshal [37]2 years ago
5 0

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

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Find the volume of the rectangular prism.
stira [4]

Answer:

1 1/2*3 1/2*5= 5 cm^3

8 0
2 years ago
Y = 3(x-2)^2 + 5
Orlov [11]

The y-intercept coordinate is at the point (0, 17)

<h3>Properties of functions</h3>

Given the following function expressed as:

y = 3(x-2)^2 + 5

  • The vertex of the function (h, k) is (2, 5) while the axis of symmetry is at x = 2
  • Domain are the input values for which the function exist. According to the function, the domain and  range exists on all real values

The x-intercept is the point where y = 0

3(x-2)^2 + 5=0\\3(x-2)^2  = -5\\(x-2)^2 = -5/3\\x - 2 = 25/9\\x = 25/9 + 2\\x = \frac{43}{9}

Hence the x-intercept is (43/9, 0)

The y-intercept is the point where x = 0

y=3(x-2)^2 + 5\\y=3(-2)^2 + 5\\y=12+5\\y=17

The y-intercept coordinate is at the point (0, 17)

Learn more on vertex and axis of symmetry here: brainly.com/question/21191648

3 0
2 years ago
Can you solve this ? Thanks
andreyandreev [35.5K]
For #1
you would do 
8 + 8 + 5 + 5 = 26
so they use 26 inches of ribbon

for #2 
since there is 8 sides and each side is 3 feet we multiply 
8 x 3 = 24 
so the perimeter of her collage room is 24 feet

for #3
its cut off...
5 0
3 years ago
I think the answer is 47.73 not sure tho
777dan777 [17]
I’m getting $47.82. So yes, there is enough money. The change would be $2.18.
8 0
3 years ago
Can someone please help me solve this math problem, please? Thanks.
Ganezh [65]
If you use FOIL to multiply these two brackets, it will lead you what is exactly written (xa+xb+ya+yb)


so it is correct

A
4 0
3 years ago
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