Simply this expression 4(-8x + 5) – (-33x – 26) = totally lost on this one can someone please help me :) and please explain how you figured this out

Answers

Answer 1

Answer: Simplifying 4(-8x + 5) + -1(-33x + -26) = 0 Reorder the terms: 4(5 + -8x) + -1(-33x + -26) = 0 (5 * 4 + -8x * 4) + -1(-33x + -26) = 0 (20 + -32x) + -1(-33x + -26) = 0 Reorder the terms: 20 + -32x + -1(-26 + -33x) = 0 20 + -32x + (-26 * -1 + -33x * -1) = 0 20 + -32x + (26 + 33x) = 0 Reorder the terms: 20 + 26 + -32x + 33x = 0 Combine like terms: 20 + 26 = 46 46 + -32x + 33x = 0 Combine like terms: -32x + 33x = 1x 46 + 1x = 0 Solving 46 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 1x = 0 + -46 1x = 0 + -46 Combine like terms: 0 + -46 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46

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Day and Night Kennel charges $20 per day plus a food fee of $15 to board a pet. Home Away From Home Kennel charges $30 per day plus a food fee of $5. Which system represents this real-world situation?

Answers

Let,

"p" represent the total cost to board the pet (food fee + charge per day included)
"d" represent the total number of days to board the pet

Now,
$$$The equation to find how much Day and Night Kennel chargers :$
$$$ p\ =\ 20d+15$

$$$The equation to find how much Home Away From Home Kennel :$
$$$ p\ =\ 30d+5$

Answer:

Answer is (B)!!

Step-by-step explanation:

These people that have the green check are such a waste of time...

A
B
What is the domain and range?

Answers

Answer:

the domain is 5 and the range is 10

Step-by-step explanation:

The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?x = –3
x = –2
x = 2
x = 3

Answers

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by $f(x)=(x-2)^2+3$

Comparing this equation with vertex form of a parabola $y=a(x-h)^2+k$ , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )

Can someone help me with this math question

Answers

Answer:

The coordinates of D' are (1,-1)

Step-by-step explanation:

The point D in the figure has co-ordinates (2,-2) as shown in the figure.

The figure is dilated by a factor of 1/2

So, multiply the coordinates of D (2,-2) by 1/2

D' = (1/2*2, 1/2*-2)

D' = (1,-1)

So, the coordinates of D' are (1,-1)

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
   x = -(11) ± √((11)² - 4(-4)(2))
   2(-4)
   x = -11 ± √(121 + 32)
   -8
   x = -11 ± √(153)
      -8
   x = -11 ± 3√(17)
   -8
   x = -11 ± 3(4.1)
      -8
     x = -11 ± 12.3
      -8
   x = -11 + 12.3 or x = -11 - 12.3
      -8    -8
   x = 1.3 or    x = -23.3
   -8     -8
   x = -0.1625    or x = 2.9125
   x ≈ -0.2    or x ≈ 2.9

The answer is B.

2. 4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
   2(4)
    x = 11 ± √(121 + 48)
      8
    x = 11 ± √(169)
   8
    x = 11 ± 13
       8
    x = 11 + 13 or x = 11 - 13
      8    8
    x = 24    or   x = -2
       8 8
   x = 3 or    x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

What are the possible values of x in 6x^2 + 432 = 0