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 =
+
= 
No, it is not. In a simple random sampling, all produced marbles should have the same probability to be taken off the line. In this case only the first 100 marbles are taken while the rest of the production batch is not randomly sampled
Answer:
4⁄9
Step-by-step explanation:
As discussed in one of my videos on my channel [USERNAME: MATHEMATICS WIZARD], whenever you are dividing mixed numbers or fractions, you multiply the first term by the divisor's <em>multiplicative </em><em>inverse</em><em> </em>[<em>reciprocal</em>]. So you will end up with [⅔]², which is 4⁄9. You understand?
I am joyous to assist you anytime.
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.
new dimensions:
= 18 ft / 4 = 9/2 ft
= 16 ft / 4 = 4 ft
The area is calculated by multiplying the dimensions,
Area = (9/2 ft)(4 ft) = 18 ft²
Therefore, the area of the scale model is equal to 18 ft².
Answer:
A and can I have brainliest
Step-by-step explanation: