Answer:
(- 4, - 3 )
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
For
g(x) = f(x) + 3
This is the graph of f(x) shifted 3 units up
Given the vertex of f(x) = (- 4, - 6 ), then
vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )
Answer:
b. 495
Step-by-step explanation:
Given
15, 21, 27, 33, 39, ...., 75
Number of terms = 11
Required
Evaluate
To evaluate means to add up all term of the series above;
The first step is to determine if the series is arithmetic or exponential;
If its arithmetic, then the difference between successive terms must be equal;
In other words;
21 - 15 = 27 - 21 = 33 - 27 = 39 - 33 = 6
<em>Since the result of the above expression gives 6, then it is an arithmetic series;</em>
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The sum of n terms of an arithmetic series is calculated as this
Where n = 11
a = First term = 15
T_n = Last term = 75
The formula becomes
Hence, the series when evaluated is 495
Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.
Step-by-step explanation:
we cannot "solve" it, as we don't know anything about y or k, by we can "simplify" it.
as multiplication is commutative, we can split the whole expression into multiplication factors, simplify each factor, and then out the results back together as one large multiplication.
and remember for the simplification of exponents, multiplying terms with the same base means adding the exponents, dividing terms with the same base means subtracting the denominator exponent from the numerator exponent.
and a^-b = 1/(a^b).
so, we could see the main expression as
(-4/-8)×(y⁶/y⁹)×(k²/k⁵)
(-4/-8) = 1/2
(y⁶/y⁹) = y^-3 = 1/y³
(k²/k⁵) = k^-3 = 1/k³
because e.g.
y⁶/y⁹ = (y×y×y×y×y×y)/(y×y×y×y×y×y×y×y×y) = 1/(y×y×y)
putting the results back together gives us
1/2 × 1/y³ × 1/k³ = 1/(2y³k³)
200x I think idk but if it’s not don’t get mad and ask goggle