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LenaWriter [7]
3 years ago
14

Solve each equation, and explain your reasoning for all problems

Mathematics
1 answer:
yarga [219]3 years ago
6 0
1. Answer: x=36
because you first multiply both sides by 3 then reduce the numbers with the greatest common factor 3. Then you multiply the number and get 36.

2. Answer: x= -2 and x=2
Divide both side of the equation by 3. Take the square root of both sides of the equation and remember to use both positive and negative roots. Then separate the solutions.

3. Answer: x =∛12 or 2.28943 in alternate form

Take the root of both side of the equation

4. Answer: 1728
Raise both sides of the equation to the power of 3. Then reduce the index of the radical and exponent with 3. Evaluate the power.

5. Answer: 48
Square both sides of the equation. Divide both sides of the equation by 3.

6. Answer: 1/4
Determine the defined range. Multiply both side of the equation by x. Swap the sides of the equation. Divide both sides of the equation by 12.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Amiraneli [1.4K]
The side x is equal to 12
7 0
2 years ago
Squareroot(y-1) + 3 = y
jek_recluse [69]
Note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0



squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work



let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5
7 0
3 years ago
What is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?
Fudgin [204]
Y is 18 so 18=3k
k=18/3
k=6 for (3,18)
for (5,30)let's see
y=30
30=5k
k=30/5
k=6
5 0
3 years ago
Read 2 more answers
Find two decimals with a product between 1 and 2
Lemur [1.5K]
Here is a method that makes it seem easier. 
<span>Write down any number between 51 and 59. </span>
<span>For example you might choose 57 = 3*19 </span>
<span>Divide both numbers by 10 and write the answer as </span>
<span>0.3 * 1.9 = 0.57</span>
4 0
3 years ago
Find the value of x.<br> m2 = x + 67
FrozenT [24]

Answer:

x=m2-67

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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