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dem82 [27]
3 years ago
14

title="5 {}^{n + 1} + 5 {}^{n + 2} " alt="5 {}^{n + 1} + 5 {}^{n + 2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Step-by-step explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms

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If a polynomial function f(x) has roots 3+
irinina [24]

Answer:

Step-by-step explanation:

3+√5 is a root.

so 3-√5 is also a root

or (x-(3-√5)) is also a factor of f(x)

7 0
3 years ago
The inequity of Six times a number x is at least −24
professor190 [17]

Answer:

6x ≥ -24

x  ≥ -4

Step-by-step explanation:

the inequality of Six times a number x is at least −24

6x ≥ -24

Divide each side by 6

6x/6  ≥ -24/6

x  ≥ -4

5 0
3 years ago
Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
In-s [12.5K]

Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right

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\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac

y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D

\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
3 years ago
In ARST, m R = 92° and mZS = 71°. Which list has the sides of ARST in order from
OLga [1]

Answer:which grade are you

Step-by-step explanation:

If you are grade 7 to 9 I know

7 0
3 years ago
12 divided by 8/9 = ?
Oduvanchick [21]
The answer would be 13 1/2 because you turn the 12 into a fraction then change the division sign into a multiplication sign and find the reciprocal of 8/9 which is 9/8 you could now divide 12/1 divided by 9/8 you could cross simply then dove to get 27/2 and in the end you get 13 1/2 if you turn the improper fraction into a mixed number.
8 0
3 years ago
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