Answer:
c - a = 
Step-by-step explanation:
Since the parabolas intersect we can equate them, that is
2x² - 1 = - x² - x + 1 ← subtract terms on right side from terms on left side
3x² + x - 2 = 0
Consider the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 2 = - 6 and sum = + 1
The factors are + 3 and - 2
Use these factors to split the x- term
3x² + 3x - 2x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) - 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 
Since c > a, then
a = - 1 and c =
Thus
c - a = - (- 1) = + 1 = + 
=
Answer:
It began after the stock market crash of October 1929, which sent Wall Street into a panic and wiped out millions of investors. Over the next several years, consumer spending and investment dropped, causing steep declines in industrial output and employment as failing companies laid off workers
Answer:
B
Step-by-step explanation:
Answer:
Proved that GB ≅ AH.
Step-by-step explanation:
See the attached diagram.
Statement 1: ∠ GBH ≅ ∠ AHB
Reason 1: This is given.
Statement 2: ∠ GHB ≅ ∠ ABH
Reason 2: This is also given.
Statement 3: BH ≅ HB.
Reason 3: From the diagram. Reflexive property of congruence.
Statement 4: Δ GBH ≅ Δ AHB
Reason 4: By Angle-Side-Angle or ASA criteria of congruency.
Statement 5: GB ≅ AH
Reason 5: Corresponding sides of two congruent triangles. (Proved)
Group1 Group2 Total
Category 1 30 90 120
Category 2 14 32 46
Total 44 122 166
Relative frequency:
Group 1 Group 2 Row Total
Category 1: 30/166 = 0.18 90/166 = 0.54 120/166 = 0.72
Category 2: 14/166 = 0.08 32/166 = 0.20 46/166 = 0.28
Column Total: 44/166 = 0.26 122/166 = 0.74 166/166 = 1.00
The relative frequency is the derived by dividing the amount per cell by the total balance, which is 166. It denotes the parts of the rows and columns against the whole table.
