HELLLP
Simplify the following expression.
apologiabiology avatar

Answers

Answer 1
Answer: exponential laws

x^-m=1/(x^m)
and (x^m)(x^n)=x^(m+n)

so

(3^-4)(3^2)=
3^(-4+2)=
3^-2=
1/(3^2)=
1/9

the answer is A



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Jacob reads a number of books in July and 8 books in August. During these same months, Marcus reads 3 times as many books as Jacob reads. Write an expression that could be used to find the number of books Marcus reads in July and August combined. Let b represent the number of books Jacob reads in July.
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Find the value of: if 3x+2y = 20 and xy = 
Describe how to find 5-(-8) on a number line. If you found the difference using counters, would you get the same result? Explain

What is the speed of a bus that travels 250 km in 2 hours

Answers

The speed of the bus is 125 kmph

What is speed?

Speed is a scalar quantity that refers to how fast an object is moving.

Given that, a speed of a bus that travels 250 km in 2 hours.

We know,

Speed = distance / time

Distance = 250 km

Time = 2 hours

Speed = 250 / 2

= 125 kmph

Hence, the speed of the bus is 125 kmph

Learn more about speed, click;

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If you want to know in km then its 125 per hour

A real estate agent earns $2,000 per month plus 5% of the selling price of each housesold. The agent wants to earn more than $60,000 this year. Which inequality represents the
possible combined selling price ( x) of all the houses sold during the year for the real estate
agent to meet his goal?
A. x > 11,600
B. x > 180,000
C. x > 720,000
D. x > 1,160,000

Answers

Given:
2,000 per month
5% of the selling price of each house sold

Agent wants to earn more than $60,000 this year.

2,000 per month * 12mos = 24,000

60,000 - 24,000 = 36,000

36,000 ÷ 5% = 720,000  ⇒ CHOICE C. X > 720,000

The real estate agent must sell a house that is more than 720,000 worth for said agent to earn more than 60,000 this year.



First you get how much he earns which is 24,000 so he would have to have x>180000 because 24000+11600 does not add up to 60000. Hope it helped

Someone please help me . All of the following are equivalent except _____. .A). 33 1/3 % .B). 0.3..... or repeating .C). 1/3 .D). 33.3.... or repeating

Answers

I think the answer is d

Answer: the answer to your question is D

What is 2 1/3 + 1 2/3?

Answers

the answer is 4 because 2 1/3 + 12/3 equals 4
It totals out to 4. I/3 plus 2/3 would equal 1 whole number, then add 1+2+1, you will get 4!

Find all possible value of the given variable 1.h²+5h=0
2.z²-z=0
3.m²+13m+40=0
4.z²-3z=0
5.q²+7q=0
6.k²+2k=0
7.x²-3x-70=0
8.q²+7q-60=0
9.z²+9z-36=0
10.d²-13d+22=0

Answers

1.\n \n h^2+5h=0 \n \nh(x+5)=0\n \nx=0 \ \ \ or \ \ \ x+5 =0\ \ |-5\n \nx+5-5=0-5\n \nx=0 \ \ \ or \ \ \ x=-5


2.\n \n z^2-z=0\n \nz(x-1)=0\n \nz=0 \ \ \ or \ \ \ z-1 =0 \ \ | +1\n \nz-1+1 =0 +1 \n \nx=0 \ \ \ or \ \ \ z=1


3.\n \nm^2+13m+40=0 \n \na=1 ,\ b=13, \ c=40 \n \n\Delta =b^2-4ac =13^2-4\cdot 1\cdot 40=169 - 1600=-1431 \n \nand \ we \ know \ when \ \Delta \ is \ negative, \ theres \ no \solution


4.\n \nz^2-3z=0 \n \n (z-3)=0\n \nz=0 \ \ \ or \ \ \ z-3 =0\ \ |+3\n \n z-3+3=0+3\n \nz=0 \ \ \ or \ \ \ z=3


5.\n \nq^2+7q=0 \n \nq(q+7)=0\n \nq=0 \ \ \ or \ \ \ q+7 =0\ \ |-7\n \nq+7-7=0-7\n \nq=0 \ \ \ or \ \ \ q=-7


6.\n \nk^2+2k=0\n \nk(k+2)=0\n \nk=0 \ \ \ or \ \ \ k+2 =0\ \ |-2\n \nk+2-2=0-2\n \nk=0 \ \ \ or \ \ \ k=-2


7. \n \n x^2-3x-70=0 \n \na=1,\ b=-3, \ c=-70 \n \n\Delta =b^2-4ac = (-3)^2-4\cdot 1\cdot (-70)= 9+280=289\n \n x_(1)=(-b-√(\Delta) )/(2a)=(3-√(289))/(2 )=( 3-17)/(2)=(-14)/(2)=-7

x_(2)=(-b+√(\Delta) )/(2a)=(3+√(289))/(2 )=( 3+17)/(2)=(20)/(2)=10\n \n(x+7)(x-10)=0


8.\n \nq^2+7q-60=0 \n \na=1,\ b=7, \ q=-60 \n \n\Delta =b^2-4ac = 7^2-4\cdot 1\cdot (-60)=49+240=289 \n \n x_(1)=(-b-√(\Delta) )/(2a)=(-7-√(289))/(2 )=( -7-17)/(2)=(-24)/(2)=-12

x_(2)=(-b+√(\Delta) )/(2a)=(-7+√(289))/(2 )=( -7+17)/(2)=( 10)/(2)= 5\n \n(x+12)(x-5)=0


9.\n \nz^2+9z-36=0 \n \na=1,\ b=9, \ q=-36 \n \n\Delta =b^2-4ac = 9^2-4\cdot 1\cdot (-36)= 81+144=225\n \n x_(1)=(-b-√(\Delta) )/(2a)=(-9-√(225))/(2 )=( -9-15)/(2)=(-24)/(2)=-12

x_(2)=(-b+√(\Delta) )/(2a)=(-9+√(225))/(2 )=( -9+15)/(2)=(6)/(2)=3\n \n(x+11)(x-3)=0


10.\n \nd^2-13d+22=0 \n \na=1,\ b=-13, \ q=22 \n \n\Delta =b^2-4ac = (-13)^2-4\cdot 1\cdot 22= 169-88=81\n \n d_(1)=(-b-√(\Delta) )/(2a)=(13-√(81))/(2 )=( 13-9)/(2)=(4)/(2)=2

d_(2)=(-b+√(\Delta) )/(2a)=(13+√(81))/(2 )=( 13+9)/(2)=(22)/(2)=11\n \n(d-2)(d-11)=0


Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12.

Answers

Answer:

Step-by-step explanation:

x = pens and y = pencils

4x + 5y = 6.71....multiply by 5

5x + 3y = 7.12....multiply by -4

--------------------

20x + 25y = 33.55 (result of multiplying by 5)

-20x - 12y = - 28.48 (result of multiplying by -4)

--------------------add

13y = 5.07

y = 5.07 / 13

y = 0.39 <=== cost of a pencil

4x + 5y = 6.71

4x + 5(0.39) = 6.71

4x + 1.95 = 6.71

4x = 6.71 - 1.95

4x = 4.76

x = 4.76/4

x = 1.19 <==== cost of a pen

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