B. 16:10
C. 32:20
D. 9:3
Answer:
8:5
Step-by-step explanation:
I did the question on study island trust me. :)
The remainder theorem says that dividing a polynomial by
leaves a remainder of
. Here,
, then
.
When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.
To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.
For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.
For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.
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The projected population in 2015,assuming that the populationgrowth follows a linearmodelis 47600
Population change in 5 years :
Estimatedpopulationvaluein2015:
Therefore, the projected populationsize in 2015is 47600
Learn more : brainly.com/question/19060921
(x-h)^2 +(y-k)^2 = r^2 is the equation for a circle centered at (h,k) and radius r
(x-2)^2 +(y- (-8))^2 = 11^2
(x-2)^2 +(y+8)^2 = 11^2
Answer:(x-2)^2 +(y+8)^2 = 11^2
Answer:
(x-2)^2 + (y+8)^2 = 11^2
Step-by-step explanation:
The standard equation of a circle with center at (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2.
Filling in the given info, we get:
(x-2)^2 + (y+8)^2 = 11^2
B. y = -3y + 2
C. y = 3y - 2
D. y = -3y - 2
The equation that represents the line shown in the graph is:
B. y = -3x + 2
Solving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
Let us tackle the problem!
From the graph , the line goes through the point ( -1 , 5 ) and ( 0 , 2 ).
Let:
( x₁ , y₁ ) = ( 0 , 2 )
( x₂ . y₂ ) = ( -1 , 5 )
We can calculate the gradient of the graph by using this following formula:
Next , we can find the equation of the graph by using this following formula:
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point