MATHEMATICS HIGH SCHOOL

0= (3 x^(2)-18x+24 )/( x^(2) -2x-8)Solve for x
Please show your work!!!
Thanks in advance :)

Answers

Answer 1
Answer: D:x^2-2x-8\not=0\nD:x^2-4x+2x-8\not=0\nD:x(x-4)+2(x-4)\not=0\nD:(x+2)(x-4)\not=0\nD:x\not =-2 \wedge x\not =4\n\n(3x^2-18x+24)/(x^2-2x-8)=0\n(3(x^2-6x+8))/((x+2)(x-4))=0\n(3(x^2-4x-2x+8))/((x+2)(x-4))=0\n(3(x(x-4)-2(x-4)))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2))/((x+2))=0|\cdot(x+2)\n3(x-2)=0|:3\nx-2=0\n\boxed{x=2}

Related Questions

hancock building dimensions. the top of the john handcock building in Chicago is a rectangle whose length is 60ft more than width. the perimeter is 520 ft. find the width and the length of the rectangle. find the area of the rectangle.
2+1=I still cannot firnd the answer I am so silly plz someone teleel me in 1 min
The rectangle has width x feet, and its length is five feet longer than its width what is the expression
Choose the equation below that represents the line passing through the point (-3,-1) with a slope of 4.A) y = 4x - 11 B) y = 4x + 11 C) y = 4x + 7 D) y = 4x - 7
How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?

Please help with this 17 points

Answers

Answer:

x represents the amount of burgers you order at a restaurant and they each cost $5 y represents your total in cost of $ so if you get 3 burgers for 5 dollars each y= $15

Step-by-step explanation:

Six is less than or equal to the sum of 4 and -2x

Answers

6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x

When you divide by a negative number, the inequality sign turns to the other side.

red bird's flight path can be modeled by the quadratic equation y=-x^2+12x-11. What is the vertex? What is the axis of symmetry? What was the total distance? What is the domain and range?

Answers

Quadratic Equation: y=-x^2+12x-11

What is the Vertex?
Vertex Form: y=a(x - h)^2 + k, where (h, k) is the vertex of the parabola. 
y=-x^2+12x-11
y=(-x^2+12x)-11
y=-1(x^2-12x)-11
y=-1(x^2-12x+36-36)-11
y=-1(x^2-12x+36)+36-11
y=-1(x-6)^2+25
Vertex is (6,25)

Axis of Symmetry?
This is just the h value so the AoS = 6

Total Distance? (I assume x-intercepts)
y=-x^2+12x-11
y=-1(x^2-12x+11)
y=-(x-1)(x-11)
x-intercepts are (1,0) and (11,0) so in between them was the flight.

Domain and Range?
I'm not sure what domain and range are but I found a calc online for it and it says
Domain: (−∞,∞),{x|x∈R}Range: (−∞,25],{y|y≤25}

When your expenses are more than your income, you have _____.A . assets
B.excess expense
C. a surplus
D.a deficit

Answers

D a deficit it's easy think about it

Let p: A triangle is acute. Let q: A triangle is equilateral. If q is true, which statements must be true? Check all that apply. a.p ∨ q
b.p ∧ q
c. p → q
c.q → p
d. q ↔ p

Answers

"q is true" is a given statement. So q = T where T stands for T (while F is for false)

If the triangle is equilateral, then all three angles are 60 degrees. So the triangle is also acute. This makes statement p true as well. 

So p and q are both true logical statements. 

That makes p v q true. It's only false if BOTH are false but that's not the case here.

That makes p ∧ q true as well. BOTH statements are true, so the entire thing is true.

p --> q is true as well. This is only false if p were true leading to q being false. Again not the case.

In the other direction, q --> p is also true for similar reasons as the last explanation above.

q <--> p is true because p and q have the same truth value T

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

In summary, every choice is true. 

A statement is true if both p and q will be true.

As, given ,p: A triangle is acute

q: A triangle is equilateral.

p ∧ q→ p is true as well as q is true.

That is if triangle is acute it means it is equilateral is not possible, and  if triangle is equilateral it means it is acute angled triangle.So,this contradicts p∧q.

So, Option (c) q → p,  supports the two statement , that is if if triangle is equilateral it means it is acute angled triangle.

The scatter plot represents the purchase prices and selling prices of X-ray machines made by five different manufacturers. Which of the following points show errors of prediction or residuals?Answer Choices :
Points (14, 25) and (15, 25)
Points (15, 25) and (18, 26)
Points (14, 25) and (16, 25)
Points (12, 24) and (18, 26)

Answers

The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression. Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

Answer:

As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.
Other Questions
Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?
2,7,26,101,400 what is the next number
Two quadratic functions are shown.Function 1: f(x) = 3x2 + 6x + 7 Function 2: x g(x) −2 13 −1 7 0 3 1 7 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (−1, 4). Function 1 has the least minimum value and its coordinates are (0, 7). Function 2 has the least minimum value and its coordinates are (−1, 7). Function 2 has the least minimum value and its coordinates are (0, 3).
What is the correct reason for statement 3?Prove: (2y) ∙ 4 + y = 9y Statements Reasons 1. (2y) ∙ 4 + y 1. Given 2. 4 ∙ (2y) + y 2. Commutative Property 3. (4 ∙ 2) ∙ y + y 3. 4. 8y + y 4. Commutative Property 5. 9y 5. Addition Multiplication Distributive Property Addition Associative Property . 1 points Question 3