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lakkis [162]
3 years ago
8

Urgent !! Convert the following equation to logarithmic or exponential form:

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer:

The exponential form is 49 to the power of one-half equals 7 ⇒ 4th answer

Step-by-step explanation:

The exponential equation of  log_{b}(m)=n  is b^{n}=m , where b is the base, n is the exponent of b and m is the value of b^{n}

Ex: If  log_{3}(81)=4 , that means b = 3 , n = 4 and m = 81, then its exponential form is 3^{4}=81

Now let us solve the question

∵ The equation is  log_{49}(7)=\frac{1}{2}

∴ The base is 49

∴ The exponent is \frac{1}{2}

∴ The answer is 7

- Substitute them in the form of the exponential form

∴ The exponential form is (49)^{\frac{1}{2}}=7

The exponential form is 49 to the power of one-half equals 7

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G(x)=f(x)+k,solve for k
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Step-by-step explanation:

Top answer · 0 votes

f(g(x))=362−x−2k f(g(x))=x→362−x−2k=x→x2−2x(1−k)−4(k−9)=0 Solution for x are equal if and only if discriminant Δ=0 4(1−k)2+16(k−9)=0 ...  More

3 0
3 years ago
A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t seconds after launch is given by
german

Step-by-step explanation:

A ball is launched straight up in the air from a height of 6 feet. The velocity as a function of time t is given by :

f(t) = -32 t+285

Height of the ball is :

h(t)=\int\limits{f(t){\cdot} dt}\\\\h(t)=\int\limits{(-32t+285){\cdot} dt}\\\\h(t)=-16t^2+285t+C

C is constant. Here the ball is launched from a height of 6 feet. So,

h(t)=-16t^2+285t+6

At t = 2 s, h(t)=-16(2)^2+285(2)+6=512\ m

At t = 9 s, h(t)=-16(9)^2+285(9)+6=1275\ m

Between 2 s and 9 s, the ball's height changed is : 1275 - 512 = 763 m.

6 0
3 years ago
The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?
OLEGan [10]
y=x
...................
3 0
3 years ago
Read 2 more answers
Example
katen-ka-za [31]

Answer:

The playground is 160ft by 360ft.

The model is 4in by 9in

First, 1ft = 12 inches.

Then the measures of the playground, in inches, is:

160*12in = 1920 in

360*12in =  4320in

The playground is 1920in by 4320in.

Then, the ratios between the measures of the playground and the model are:

1920in/4in = 480

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This means that each inch in the model, represents 480 inches in the actual playground.

5 0
4 years ago
What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?
Alex

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071

3 0
3 years ago
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