Answer:
The constant in the algebraic expression to represent the pattern below is 4.
Step-by-step explanation:
Imortant Tip:
- An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms
Given the pattern
computing the differences of all the adjacent terms
The difference between all the adjacent terms of the pattern is the same which is
Hence, the given pattern represents the Arithmetic sequence.
Therefore, the constant in the algebraic expression to represent the pattern below is 4.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the details :
Kofi is older than kweku
kofi's age = (5x-4) years
kweku's age = (2x+1) years
a. write down an expression, interns of x,for how much old is Kofi than kweku
Equate the ages of Kofi and kweku
(5x - 4) = (2x + 1)
5x - 4 = 2x + 1
5x - 2x = 1 + 4
3x = 5
3x - 5
B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku
Then,
(5x-4) = (2x + 1) + 10
5x - 4 = 2x + 1 + 10
5x - 2x = 1 + 10 + 4
3x = 15
x = 5
Kofi's age : 5x - 4
5(5) - 4 = 25 - 4 = 21 years
Kweku's age : (2x + 1)
2(5) + 1 = 10 + 1 = 11 years
Answer:
Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.
Step-by-step explanation:
For f(x) = 4x+1 and g(x)= x^2-5, find (f/g) (x).
The answer is: " - (4/3) " .
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Explanation:
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The original equation given has a slope of (3/4).
Note: We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form"; that is:
" y = mx + b " ; in which "m" (the coefficient of "x") is the slope.
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The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.
Hence, the negative reciprocal of "(3/4)" is: "-(4/3)" .
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Answer:
L = 50 * (-0.4)^(n - 1)
Step-by-step explanation:
r = t2/t1 = -20/50 = - 0.4
a = 50
L = 50 * (r)^(n - 1) Let's see if we can get the answer when n = 3
L=50 * (-0.4)^(3 -1)
L =50* (-0.4)^2
L = 50 * 0.16
L = 8 which is correct
