Solution:
3x - 5 = -2x²
2x² + 3x - 5 = 0
By splitting the middle term,
2x² - 2x + 5x - 5 = 0
2x (x - 1) + 5 (x - 1) = 0
(2x + 5)(x - 1) = 0
So, 2x + 5 = 0
x = -5/2
(OR)
x - 1 = 0
x = 1
The roots of 2x² + 3x - 5 = 0 are: A. x = 1 & B. x = -5/2
Answer:
The shoe factory would make approximately 2 x 10^6 pairs of shoes in 10 years.
Step-by-step explanation:
given:
1.81 × 10^4 pairs of shoes each month
There are 1.2 × 10^2 months in 10 years
find;
Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years.
Multiply the number pairs produces each moth to 10 years
1.81 × 10^4 * 1.2 × 10^2
estimated coefficient is given as 1.81 ≅ 2 and 1.2 ≅ 1
2 × 10^4 * 1 × 10^2
Multiply the coefficient
2 x 1 = 2
Add the exponent
10 ^ ( 4+2) = 10^6
combined the two results
2 x 10^6
therefore,
The shoe factory would make approximately 2 x 10^6 pairs of shoes in 10 years.
We know that this is a geometric sequence. Keep in mind that in a geometric sequence, the next term is found by shamelessly multiplying it by "some number", namely the "common ratio".
therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.
you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.
so, we know the common ratio is 2, and the first term is 0.75, so
Answer:
Angle BOC = 28; Angle AOB = 21
Step-by-step explanation:
Because angle AOC = AOB + BOC you can set the equation:
2x+10 + 4x-15 = 49
<solve for x>
6x - 5 = 49
6x = 54
x= 9
<plug in x for the angles>
BOC = 2(9) +10 = 28
AOB = 4(9) - 15 = 21
Answer:
Using the distrubive property they are equivalent