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algol [13]
4 years ago
9

(1.2)^{2} + 38.4(1.2) + 0.96" alt=" - 16(1.2)^{2} + 38.4(1.2) + 0.96" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Elina [12.6K]4 years ago
6 0
24 is your final answer 
belka [17]4 years ago
4 0
-16(1.2)^2+38.4(1.2)+0.96=24  <- Answer
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Use the graph that shows the solution to F(x) = G(x)
Alisiya [41]

Answer: B. 0 and D. 3

Step-by-step explanation:

Here the given function is,

f(x) = \frac{7}{3}x-3

g(x) = 2^x-4

For finding the solution of this system of equation,

First we will plot the function on the graph,

Graph of function f(x),

x-intercept and y-intercept are (1.286,0) and (0,-3) respectively,

Also, it is a straight line,

Hence, we can plot this line on the graph,

Graph of function g(x),

Function g(x) is an exponential function having x-intercept and y -intercept, (2,0) and (0,-3) respectively.

Also, the end behavior is,

As x\rightarrow \infty , f(x)\rightarrow \infty

As  x\rightarrow -\infty , f(x)\rightarrow -4

Hence, we can plot the graph of g(x),

By plotting the graph,

We found that the intersection of the function f(x) and g(x) are (0,-3) and (3,4).

Hence, the solution of the system is the x-coordinates of the intersection points that are 0 or 3.

⇒ Option B and C is the correct options.

 

6 0
3 years ago
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What's the answer to this question?
Usimov [2.4K]
What book is that from
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4 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Alexeev081 [22]

Answer:

  b² +12b +32 = (b+4)(b+8)

Step-by-step explanation:

The product of binomial factors (x+a) and (x+b) is ...

  (x+a)(x+b) = x² +ax +bx +ab

  = x² + (a+b)x + ab

That is, the coefficient of x is the sum of factors of the constant term.

In order to determine "a" and "b", you can look at the factors of 32 and see which pair has a sum that is 12.

  32 = 1×32 = 2×16 = 4×8

The last factor pair has a sum that is 12, so your factorization can be

  b² +12b +32 = (b+4)(b+8)

4 0
3 years ago
A certain type of bacteria doubles each day. On day 3, there is 100
umka21 [38]

Answer:

150

Step-by-step explanation:

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3 years ago
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The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last??
pishuonlain [190]

Answer:

The first two wars were long—23 years and 17 years, separated by an interval of 23 years. The third war lasted nearly three years. It started 52 years after the end of the second war. All three wars were won by Rome, which subsequently emerged as the greatest military power in the Mediterranean Sea.

Step-by-step explanation:

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