Answer:
x=1
Step-by-step explanation:
-5 - (15x-1) = 2(7x-16) -x
Distribute the negative sign
-5-15x+1 = 2(7x-16)-x
Distribute the 2
-5-15x+1 = 14x -32-x
Combine like terms
-4-15x = 13x-32
Add 15x to each side
-4-15x+15x = 13x+15x-32
-4 = 28x-32
Add 32 to each side
-4+32 = 28x-32+32
28 = 28x
Divide each side by 28
28/28 = 28x/28
1 =x
Answer:
75, 89, 91, 105, 107, 121, 123, 137
Step-by-step explanation:
If you analyze how much each number is increased, you will notice it alternates between adding 2, then adding 14:
11 + 14 = 25.
25 + 2 = 27.
27 + 14 = 41.
41 + 2 = 43.
43 + 14 = 57.
57 + 2 = 59.
59 + 14 = 73.
That means you can simply, finish the pattern, alternating between adding 2 and 14. Then you will get these answers.
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
Answer:
C) 43.96
Step-by-step explanation:
1. Use the formula to find the circumference of a circle whic is C= πR
2. First multiply the radius (7 in) by 2
3. 7 x 2 = 14
4. Then multiply 14 by 3.14
5. 14 x 3.14 = 43.96
5. There's your answer :)
Hope this helps :)
Answer: 19 cm
<u>Step-by-step explanation:</u>
99 = 
99 = 
198 = (2x + 13)(x - 4)
198 = 2x² + 5x - 52
0 = 2x² + 5x - 250
0 = 2x²- 20x + 25x - 250
0 = 2x(x - 10) + 25( x - 10)
0 = (2x + 25)(x - 10)
0 = 2x + 25 or 0 = x - 10
= x or x = 10
Since length cannot be negative, can be disregarded
Larger base: x + 9 = 10 + 9 = 19
