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juin [17]
3 years ago
8

Kate and Margaret spend $42.60 on dinner at a restaurant

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

H, it's asking for the total amount of money spent. so you add.

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(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript
stiks02 [169]
\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}


Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}
6 0
2 years ago
Read 2 more answers
The x and y intercept of 3x + 4y = -12
muminat
× equals negative 4 i think and y equals -3
5 0
3 years ago
Find the nth term of the sequence:<br>23, 19, 13, 5, -5.......<br>​
Maurinko [17]

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

8 0
3 years ago
Variation table of this <br> g(x)=2x^3 -x^2 -4x +6
Mrac [35]

Answer:

2x^{3} - x^{2}  - 4x +6

2x-x-4x^{3-2}+ 6

-3x+6

7 0
2 years ago
If ΔABC ΔDEC, what is m∠D? A. 40° B. 150° C. 60° D. 80°
Nina [5.8K]
I think that the best answer here would be that A = 40 degrees. 
6 0
3 years ago
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