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kari74 [83]
3 years ago
6

F(x) = -x(2nd power) + 4 when x = 3

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0
F(x) = -x² + 4
f(3) = -3² + 4
f(3) = -9 +4
f(3) = -5
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Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6
vesna_86 [32]
This is an Arithmetic Progression with 1st term 11 and common difference d=6

Number of Rows     Number of seats      Common difference " d" 
-----------------------     -----------------------     -------------------------------------
1st                                  a₁     = 11                                 
2nd                                 a₁+d =17               d =2nd - 1st = 6
3rd                                  a₁ +2d = 23           d =3rd - 2nd = 6
4th                                  a₁ +3d = 29            d= 4th - 3rd = 6
-------------------------------------------------------------------------------
nth ROW                         a(n) = a₁ + (n-1)d
18th ROW                       a₁₈ =   11 + (18-1).6 = 11+(17)(6) = 113 

General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
8 0
3 years ago
Finding the Slope of a Line on a Graph
sukhopar [10]

Answer:

Slope = 2

Step-by-step explanation:

Change in y = 2

Change in x = 1

2/1 = 2

Equation: y = 2x + 3

5 0
3 years ago
I actually don’t get this and I have a test in 2 days please help what is g(x) and how
nataly862011 [7]

first off, is noteworthy that's the graph of an exponential function, thus the function will be along the lines of g(x) = abˣ , now, what's "a" and "b" values?

well, let's take a peek when x = 0 and x = 1.

\bf g(x) = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 0\\ y = 1 \end{cases}\implies 1=ab^0\implies 1=a(1)\implies \boxed{1=a} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 1\\ y = 4 \end{cases}\implies 4 = ab^1\implies 4=1b^1\implies \boxed{4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill g(x) = 4^x\qquad \qquad \qquad \begin{array}{|c|c|ll} \cline{1-2} x&y\\ \cline{1-2} -2&\frac{1}{4^2}\to \frac{1}{16}\\ -1&\frac{1}{4}\\ 0&1\\ 1&4\\ 2&16\\ \cline{1-2} \end{array}~\hfill

8 0
3 years ago
Find the equation of a line with slope 1/2 through the point (10,12)
mihalych1998 [28]

Answer:

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Step-by-step explanation:

Slope \:( m) =\frac{1}{2}

(x_1 \:y_1) =(10, \:12)

Equation of line in point slope form is given as:

y-y_1 =m(x-x_1)

Plugging the values of m and (x_1 \:y_1), we find:

y-12=\frac{1}{2} (x-10)

2y-24=x-10

0=x-10-2y+24

x-2y+14=0

This is the required equation of line.

5 0
3 years ago
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Sonja [21]

Answer:

??

Step-by-step explanation:

Hm?

3 0
3 years ago
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