Answer:
Step-by-step explanation:
Multiplying a(x) and b(x) together results in a quadratic equation (a trinomial). This trinomial looks like (a·b)(x) = (2)(x - 2)(x + 2). Note that this is a "special product;" (2)(x^2 - 4); there is no middle term.
Answer:
x =10
Step-by-step explanation:
Using the pythagoras theorem om one of the right triangle;
(√74)² = (x/2)²+7²
74 = (x/2)²+49
(x/2)² = 74 - 49
(x/2)² = 25
Square root both sides
√ (x/2)² = ±√25
x/2 = ±5
x = 2 * ±5
x = ±10
Hence the value of x is 10
Answer:
0.6
Step-by-step explanation:
9 is the numerator and 15 is the denominator
divide 9 ÷ 15
which is 0.6
Step-by-step explanation:
1.
2.
3.
- 485 - 319 = 166 more people
4.
- 14.5x + 80 > 500
- 14.5x > 420
- x > 420/14.5
- x > 29
5.
- 1.25x + 3 ≤ 28
- 1.25x ≤ 25
- x ≤ 25/1.25
- x ≤ 20 miles
6. <em>This seems a typo... 460 is likely $60</em>
- 60x + 145 ≤ 625
- 60x ≤ 625 - 145
- 60x ≤ 480
- x ≤ 480/60
- x ≤ 8 days
Answer:
- Positive at (-9, 2)
- Negative at ( -oo, -9) or (2, + oo)
Step-by-step explanation:
<u>Given function</u>
<u>Getting zero's</u>
- -2x^2 - 14x + 36 = 0
- x^2 + 7x - 18 = 0
- x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
- x = - 9 and x = 2
<u>As the x^2 has negative coefficient, the function is positive between -9 and 2</u>
<u>And it is negative at:</u>
- x < -9 and
- x > 2
- or
- ( -oo, -9) or (2, + oo)
