Answer:
-6<x<9 is the right option.
Answer:
Option A.
Step-by-step explanation:
In the given graph there are four intervals in which we have to find the nature of function.
1). In the interval (-∞, -0.7)
f(x) < 0
Because for every value of x, value of the function is negative.
2). In the interval (-0.7, 0.76)
f(x) > 0
For each value of x, value of the function is greater than 0.
3). In the interval (0.76, 2.5)
f(x) < 0
Because in this interval value of the function is negative.
4). Interval (2.5, ∞)
f(x) > 0
Because value of the function for every value of x, is greater than 0.
When we compile all four properties Option A. comes out to be the right option.
Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
Trini took 74 photos
<em><u>Solution:</u></em>
Given that Trini took some photos
The number of photos she took is a two-digit number
Let the number in unit place be x and the number in tens place be y
Then the two digit number is yx
Given that sum of digits is 11
Therefore,
x + y = 11 ---- eqn 1
The tens digit is 3 more than the ones digit
Therefore, we frame a equation as,
y = 3 + x ---- eqn 2
<em><u>Solve eqn 1 and eqn 2 to get value of "x" and "y"</u></em>
Substitute eqn 2 in eqn 1
x + 3 + x = 11
2x + 3 = 11
2x = 11 - 3
2x = 8
x = 4
Substitute x = 4 in eqn 2
y = 3 + 4 = 7
Thus the two digit number is 74. Thus he took 74 photos
Answer:
remove any unnecessary information
Step-by-step explanation:
