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Anastasy [175]
3 years ago
7

What is the solution to this equation? 3[x] - 1 = 8

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

3

Step-by-step explanation:

The whole goal is to isolate the variable.

3x-1=8

1+3x-1=8+1 first add 1 to both sides of the equation to cancel out the -1

3x=9 now just divide 3 to both sides of the equation because the opposite of multiplication is division. So dividing 3 on both sides cancels out the 3 to isolate the x

3x/3=9/3

x=3

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How to solve the system of equations algebraically over a set of real numbers
navik [9.2K]
<span>Solve the following equation in the real number system. Please show all of your work.
example: 
x³-6x²-10x+12=0
...
f(x)=x³-6x²-10x+12
A graphing calculator will show that there is one zero at x=-2
Divide f(x) by (x+2) by long division or synthetic division
(x³-6x²-10x+12)/(x+2)=x^2-8x+6

solve for other two zeros
x^2-8x+6=0
complete the square
(x^2-8x+16)+6-16=0
(x-4)^2=10
x-4=±√10
x=4±√10=7.16 and -.84
ans:
x=-2, -.84 and 7.16</span>
3 0
4 years ago
Anita purchased a couch that was priced at $700. She will also have to pay 6% sales tax. How much will she pay in total for the
Zolol [24]

Answer:

$742

Step-by-step explanation:

To solve this, you need to figure out what 6% of 700 dollars is and then add that to 700. The easiest way to find the percentage of a number is to set it up in the equation:

6/100 = x/700  where 6 is the percentage of 700 (out of 100 because you can only get up to 100 percent in this case) and x is 6 percent of 700. when you cross multiply, you get 100x = 4200. Then you divide both sides by 100 to get x by itself. This will give you x = 42 Add this to 700 for 742 as the total amount that will be paid. Sorry if this first half was a little confusing

6 0
3 years ago
A sandwich shop sells sandwiches for $5.95 each, including tax. the shop received a total of $71.40 from the sales of sandwiches
Leokris [45]
The equation for determine the cost of sandwiches one afternoon is <span>y<span>=5.95*x 
</span></span> <span>x= number of sandwiches</span>
<span>5.95 = cost one sandwiches</span>

The equation for determine the number of sandwiches sold one afternoon is <span>x=y/5.95</span>

We have that

<span>y=71.40</span>
<span>x=(71.40/5.95)   x=12 </span> <span>the response is 12 <span>sandwiches sold one afternoon</span></span>
5 0
3 years ago
Help plz in both thank u
zlopas [31]
You will have 12 quarters and 7 dimes which equal 3 . 70
nexted question the answer is
three weeks till its is twice the amount as hers and there will be 110 more in the account
3 0
3 years ago
Find the area of this semi-circle with diameter, d = 49cm.<br> Give your answer rounded to 2 DP.
lilavasa [31]
The area of a semicircle is (πr^2)/2, with r being the radius
the radius is going to be the diameter diced by two: 49/2 = 24.5
now, plug in and solve
(π24.5^2)/2 = 600.25π/2 = 300.125 π
π is roughly equivalent to 3.14, so we can multiply to simplify
area = 942.87

8 0
2 years ago
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