Answer:
a=-5
Step-by-step explanation:
subtract 3 from both sides
15=-3a
divide by -3
a=-5
Answer:
45 degrees
Step-by-step explanation:
Let
and
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function
subject to the constraint
.
From the constraint, we find
so we can write the area function independently of
:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of
.
Answer:
Step-by-step explanation:
You could also use increments of 4 degrees instead, so the first line to the right of the zero point represents 4 degrees Celsius, the second represents 8 degrees and so on. Having each line represent 4 degrees is useful, since the temperatures where Celsius and Fahrenheit correspond are multiples of 4 in both scales. It's ok if you give brainliest to the other person who answered first
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
