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mrs_skeptik [129]
1 year ago
7

This one is super hard

Mathematics
1 answer:
kipiarov [429]1 year ago
5 0

We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have

\begin{gathered} 14=ab^0 \\ 14=a \end{gathered}

We use the second point given (3,3024) to solve for the value of <em>b</em>,

3024=ab^3

Substitute the value of <em>a</em> solved by the equation above on the equation above and solve

\begin{gathered} 3024=14b^3 \\ b=\sqrt[3]{216} \\ b=6 \end{gathered}

Hence, the exponential function is written as

f(x)=14(6)^x

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Which decimal is equivalent to 5/12 ? A. 0.416 B. 0.416 C. 0.416 D. 0.416
sleet_krkn [62]
They’re all the same answer so...??
3 0
3 years ago
If cosθ=513, what is sinθ?
Roman55 [17]
The only values a cosine can have are from -1 to 1.

6 0
3 years ago
Which of the following is the solution for 7 - 4x ≥ 35 ?
melamori03 [73]
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)
7 0
3 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
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If you spin the spinner 100 times how many times can you expect it to land in yellow?
gayaneshka [121]

Answer:

depends on how many other colours are there as well let's say there are N no. of colours then the probability is 100/N

5 0
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