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BabaBlast [244]
3 years ago
7

Expand and simplify (x+3)(x+5)

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
Distribute
x^2 + 5x+ 3x+ 15
Add like terms
x^2+8x+15
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One year, the population of a city was 94,000. Several years later it was 109,980. Find the percent increase.
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On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his
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2 years ago
For what value of x is sq 896z^15/225z^6 = xz^4/15
Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given:  \sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z} ,.....[1]

To find the value of x:

Using exponent rules:

  • (a^n)^m = a^{nm}
  • a^n \cdot a^m = a^{n+m}

Taking square both sides in [1] we have;

\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)

Simplify:

\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)

or

\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}

Multiply both sides by \frac{225}{14z^9} we get;

x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}

Simplify:

x^2 = \frac{896 z^{15}}{14 z^{15}} = 64

or

x = \sqrt{64}

Simplify:

x = 8

Therefore, the value of x is, 8


5 0
3 years ago
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