Answer:
4/7
Step-by-step explanation:
2 1/4 = 1 2/7 ÷ x
x = 1 2/7 ÷ 2 1/4
= 9/7 ÷ 9/4
= 9/7 × 4/9
= 36/63
= 4/7
The statement is false because the two expressions don't equal each other
Answer:
c - a
Step-by-step explanation:
Given that b-a = c-b = d-c, to find the expression equal to d-b, separate the equations in the manner below
b-a = d-c
and
c-b = d-c
From the first equation, subtract b from both sides such that
b - a - b = d - c -b
-a = d-c -b
Add c to both sides such that
c - a = d-c -b + c
c - a = d - b
Hence d - b is equal to c - a
Answer: $ 1.60
1.Set up the proportion, 2.5/4 = 1/x.
2. Cross multiply. 2.5x = 4
3. Divide both sides by 2.5. x = 1.6
Answer: x = {-4, -1, 2}
<u>Step-by-step explanation:</u>
q p
F(x) = x³ + 3x² - 6x - 8
Possible rational roots are: +/- {1, 2, 4, 8}
F(1) = (1)³ + 3(1)² - 6(1) - 8
= 1 + 3 - 6 - 8
= -10 <em>Since the remainder is not 0, then x = 1 is not a root</em>
F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8
= -1 + 3 + 6 - 8
= 0 <em>Since the remainder is 0, x = -1 is a root.</em>
Use synthetic division to find the remaining factor:
x = -1 → x + 1 = 0
-1 | 1 3 -6 -8
<u>| ↓ -1 -2 8 </u>
1 2 -8 0
(x + 1)(x² + 2x - 8) = 0
Next, factor the polynomial:
(x + 1)(x + 4)(x - 2) = 0
x + 1 = 0 x + 4 = 0 x - 2 = 0
x = -1 x = -4 x = 2