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rjkz [21]
3 years ago
15

I need help adding and subtracting expressions with radicalsthis is the problem 19/2 + 2/8

Mathematics
1 answer:
Vikki [24]3 years ago
7 0
Exact form: 39/4
decimal form: 9.75
mixed number: 9 3/4
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24x+32=8(3x+4) -is it equivalent? if not please tell me-
jeka94

Yeah, they're equal.

8 * 3 = 24 and 8 * 4 = 32

so 24x+32 = 24x+32

8 0
3 years ago
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Simplify the expression (5x^2+13x-4)-(17x^2+7x-19)+(5x-7)(3x+1)
miv72 [106K]
5x²+13x-4-17x²-7x+19+15x²+5x-21x-7=
=5x²+15x²-17x² +(13x-7x+5x-21x) -4-7+19=
=3x²-10x+8
8 0
3 years ago
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Which of the following logarithmic expressions are equivalent to ln sqrt xy +ln (x/e)? select all that apply
spayn [35]

Answer: Option d.

Step-by-step explanation:

It is important to remember the following proporties in order to solve the exercise:

ln(a)+ln(b)=ln(ab)\\\\ln(a)-ln(b)=ln(\frac{a}{b})\\\\ln(a)^m=mln(a)\\\\ln(e)=1

In this case you have this expression given in the exercise:

ln(\sqrt{xy})+ln(\frac{x}{e})

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.

Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that \sqrt[n]{a^n}=a):

ln(\sqrt{xy})+ln(\frac{x}{e})=ln(\sqrt{xy})+ln(x)-ln(e)=ln(x\sqrt{xy})-1

3 0
3 years ago
Train completes journey of 150 miles one hour earlier if original speed is increased by 5mes/hour What is original speed
bija089 [108]
25mph.

using the equation distance = speed x time, you can make 2 equations. let x be the original speed of the train, and t be the original time it takes. the first equation is the original trip, the 2nd is your new speed and shortened time.
150=xt \\ 150=(x+5)(t-1)
this is because you are adding 5mph, and taking off 1 hour of time, to still cover the 150 miles. you can solve the first equation for t, and substitute into the second, and then solve for x.
t= \frac{150}{x}  \\ 150=(x+5)(t-1)=xt+5t-x-5 \\ 150=150+5( \frac{150}{x})-x-5 \\ 5= \frac{750}{x} -x \\ 5+x= \frac{750}{x}   \\ x^2+5x=750 \\ x^2+5x-750=0
and using the quadratic formula you can find x=25.
3 0
3 years ago
Kiyo used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 ya
ser-zykov [4K]
The equation the find the circumference of a circle is c=2<span>πr.
c=2</span><span>π5
c=10</span><span>π
c=31.4159...
the circumference of the backyard is 31.4 yards.
Hope I helped...</span>
3 0
3 years ago
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