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igomit [66]
3 years ago
7

F(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

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As shown in the diagram of the right triangles below, Triangle: ABC ~ Triangle: DEF, AB = 7x, BC = 4, DE = 7, EF = x. What is th
charle [14.2K]

since triangles are similar

4/x = 7x/7

=》 4/x = x

=》x^2 = 4

=》 x = 2

for right triangles a^2 = b^2+c^2

DF^2 = 7^2+2^2 = 53

=》 DF = 7.28

perimeter of DEF = 7 +2+7.28 = 16.28

8 0
3 years ago
The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a , where a is the area
tatyana61 [14]

Answer:

m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area

Step-by-step explanation:

We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1

a =  area of the countertops.

we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.

We are supposed to find  function can be used to find the marked-up price of a marble countertop depending on the area?

Marked up price function : m(c) = 1.15c.

Substitute the value of c form 1

Marked up price function of a marble countertop depending on the area:

m(c(a))=1.15(4.25 a)

m(c(a))= 4.8875 a

So, Option 1 is true

Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area

5 0
3 years ago
What is the property that is shown?
Mazyrski [523]

opposite of a sum property

hope it helps

3 0
3 years ago
Janet took out a loan of $50,000 from Bank of America at 8% on March 19, 2015, which is due on July 8, 2015. Using exact interes
Paladinen [302]
The formula for this is I = PRT
I = Interest
P = Principal (starting amount) = $50,000
R = Rate (percentage) = 8% = .08
T = Time in years = days/years = 111/365

I = 50000(.08)(111/365)
I = $1216.438 
I = $1216.44 (rounded)


5 0
3 years ago
How many triangles exist with the given side lengths? 2mm,6mm,10mm
kondaur [170]

Answer:

Zero

Step-by-step explanation:

2+6=8 which means it can't be. It has to be a length higher than 10

4 0
3 years ago
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