All categories

3 years ago

Solve for x: −3|x − 3| = −6

2 answers:

8 0

|x - 3| = -6/-3
Two negatives = a positive so make it |x - 3| = -6/-3
|x - 3| = 2
In order to find the answers we need to break it down into these two problems
x - 3 = 2 and -(x - 3) = 2
For the first one its 5 since 5 - 3 = 2 and 2 + 3 = 5
For the second one its 1
Now we're done lets just collect both answers

Answers: x = 1, 5

kogti [31]3 years ago

3 0

Remember, for |a|=b, assume and solve a=b and a=-b

so

first get into |a|=b form

-3|x-3|=-6
divide both sides by -3
|x-3|=2
so solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1

the solutionsa re x=1 and 5

You might be interested in

Which graphs are functional?

Daniel [21]

Answer:

2 and 5

Step-by-step explanation:

5 0

2 years ago

Clara has read 3/4 of a book. Camille said she had read 1/2 as much as Clara. What fraction of the book has Camille read?

neonofarm [45]

It is multiplication? If it is, the answer is 6/8. Simplified it is 3/4.

6 0

3 years ago

A 90-inch length of ribbon is to be cut into three pieces. The longest piece is to be 30 inches longer than the shortest piece,

Free_Kalibri [48]

Lets name the shortest piece a, the medium b and the longest c

Together they are 90inches
$a + b + c = 90$
The longest is 30 inches longer than the shortest
$c = a + 30$
The third piece is half the lenght of the longest
$b = \frac{c}{2}$

So if you place c=a+30 in the other 2 equasions you get

$a + b + (a + 30) = 90 = 2a + b + 30$
And
$b = \frac{30 + a}{2}$
Now if you put this 2 toghether u get
$2a + \frac{30 + a}{2} + 30 = 90$
Multyplied by 2
$4a + 30 + a + 60 = 180$
$5a = 90$
Meaning that a=18inches

Now that we have the lenght of a we put it in the previous equasion

$b = \frac{30 + 18}{2}$
So b=48/2 which means b=24inches

And together they must be 90 so

$18 + 24 + c = 90$

C=48inches

6 0

3 years ago

Please help with this asappppppppll

Alenkinab [10]

We are given with a circle and we need to find the equation of the circle , but first let's recall that , the equation of a circle with radius 'r' and centre at (h,k) is given by ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$

Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here (h,k) = (0,0) .Which means that the centre is located at the point whose coordinates are (0,0) which is also known as origin . Now , finding the equation of the circle :-

${:\implies \quad \sf (x-0)^{2}+(y-0)^{2}=(9)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{x^{2}+y^{2}=81}}}$

This is the required equation of Circle

7 0

2 years ago

Arun bought a pair of skates at the sale where the discount given was 20%. If the amount he pays is 1600 find the marked price

UkoKoshka [18]

Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

7 0

1 year ago