Answer:
6:7
Step-by-step explanation:
A ratio is written as x:y where x and y are numbers in there most simplified form. In the ratio 24:28 both numbers are divisible by four, so divide each side by four and you have your answer.
Answer:
-2
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope
Parallel lines have the same slope
----------------------------
y = -2x + 5
is in slope intercept form
the slope, m = -2
The slope of the parallel ine will be the same
m = -2
First of all, we know that
Corporation A owns 3.2 × 10^5 acres
Corporation B owns 4×10^4 acres
Corporation C owns 4.3×10^5 acres
To compare which corporation owns the most land, we need to have the same unit of exponent which is 10^4, so we need to change Corporation A and Corporation C:
Corporation A: 3.2×10^5
Corporation A: 32×10^4
Corporation C: 4.3×10^5
Corporation C: 43×10^4
In this case, compare all three corporation. We see that Corporation C owns the most land.
Lastly,
To find “ How many times greater is corporation A’s land than corporation B’s land ", take:
Corporation A / Corporation B
=32×10^4/4×10^4
=32/4×10^4/10^4
=8×10^4-4
=8×10^0
=8×1
=8 times is your final answer. Hope it help!
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
