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bagirrra123 [75]
3 years ago
15

11/28+4/7 = simplest form

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0
The answer to this question is 27/28
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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
Nitella [24]

Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

then

\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

6 0
2 years ago
I’m not sure how to do this. Plz help and show the work
kramer
3. 65x5= 325
she traveled 325 feet in 5 minutes
4. 3(6) +5 = 23
    6cube - 10 =206
5. area of the triangle is 1/2x base x height
so 1/2 x 15 x 10 = 75
7. they'll have 6 sections. 3/4 divided by 1/8 is 6

hope this helps :)
6 0
3 years ago
Solve the proportion<br> 16/50 = x/156.25
yuradex [85]
The answer for this proportion is 50.
156.25 times 16 =2,500
2,500 divided by 50=50
X=50
4 0
3 years ago
Read 2 more answers
Calculator
Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

7 0
3 years ago
Answer the ones you want to. At least answer one…
Artyom0805 [142]

Answer:

9. First Five terms

If n=0. Then,

\frac{4(0) - 5}{2}

\frac{0 - 5}{2}  =  \frac{ - 5}{2}

If n=1. Then,

\frac{4(1) - 5}{2}

\frac{4 - 5}{2}  =  \frac{ - 1}{2}

If n=2. Then,

\frac{4(2) - 5}{2}

\frac{8 - 5}{2}  =  \frac{3}{2}

If n=3. Then,

\frac{4(3) - 5}{2}

\frac{12 - 5}{2}  =  \frac{7}{2}

If n=4. Then,

\frac{4(4) - 5}{2}

\frac{16 - 5}{2}  =  \frac{11}{2}

If n=5. Then,

\frac{4(5) - 5}{2}

\frac{20 - 5}{2}  =  \frac{15}{2}

If n=6. Then,

\frac{4(6) - 5}{2}

\frac{24 - 5}{2}  =  \frac{19}{2}

7 0
2 years ago
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