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Sonbull [250]
3 years ago
6

You have two exponential functions. One has the formula h(x) = 2 x + 3. The other function, g(x), has the graph shown below.

Mathematics
2 answers:
Alex17521 [72]3 years ago
5 0
To answer, we substitute each of the numbers in parentheses to x of h(x) and get the value of g(x).

A. h(2) = 2(2) + 3 = 7  ;   g(2) < 4               (neither is equal to 7)

B. h(7) = 2(7) + 3 = 17;    g(7) is not shown in the graph          (not true)

C. h(2) = 7   ; g(2) < 4   Thus, g(2) < h(2)   (choice is not true)

D. From C, g(2) < h(2)   (TRUE)

Thus, the answer to this item is letter D. 
garri49 [273]3 years ago
5 0

Answer:

answer is C.g(2)>h(2)

Step-by-step explanation:

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Factor completely: 4a^2+b^2−c^2+4ab
Lapatulllka [165]

Answer:

4a^{2} + b^{2}  - c^{2}  + 4ab = (2a + b -c) (2a + b+c)

Step-by-step explanation:

Here, the given expression is 4a^{2} + b^{2}  - c^{2}  + 4ab

or, the given expression can be written as

 (4a^{2} + b^{2}  + 4ab ) - c^{2}

Now, by ALGEBRAIC IDENTITY: (x+y)^{2}  = x^{2} + y^{2}  + 2xy

So, similarly here, (2a +b){2}  = 4a^{2} + b^{2}  + 4ab

Hence, on simplification, the expression

(4a^{2} + b^{2}  + 4ab ) - c^{2} = (2a + b)^{2} - c^{2}

Now, by ALGEBRAIC IDENTITY: (x +y)(x-y) = x^{2}  - y^{2}

So, similarly  (2a + b)^{2} - c^{2}= (2a + b -c) (2a + b+c)

Hence, the given expression is factorized as:

4a^{2} + b^{2}  - c^{2}  + 4ab = (2a + b -c) (2a + b+c)

7 0
3 years ago
Math for Homework
marta [7]
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3 years ago
4 + [(16 - 4) + (12 -9)] Also Explain the answer please and thank you
dybincka [34]

Answer:

19

Step-by-step explanation:

4 + [(16 - 4) + (12 -9)]

Using PEMDAS, first solve the parentheses.

16-4 is 12 and 12-9 is 3

Rewrite the expression

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12+3 is 15

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19.

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Answer:18.45/3 = 6.15

Step-by-step explanation:

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