All categories

2 years ago

Absolute value equations please help!!!!

Mathematics

1 answer:

Leona [35]2 years ago

4 0

Answer:

#3×|x-9|=0

|x-9|=0

X-9=0

X=9

# |2x-9|-4=2

|2x-9|=2+4

|2x-9|=6

2x-9=6

2x=9=-6

X=15/2

X=3/2

1 to x power =3/2 or

2 to x power =15/2

Step-by-step explanation:

Hope I helped u

You might be interested in

Find the number of elements in A 1 ∪ A 2 ∪ A 3 if there are 200 elements in A 1 , 1000 in A 2 , and 5, 000 in A 3 if (a) A 1 ⊆ A

lina2011 [118]

Answer:

a. 4600

b. 6200

c. 6193

Step-by-step explanation:

Let $n(A)$ the number of elements in A.

Remember, the number of elements in $A_1 \cup A_2 \cup A_3$ satisfies

$n(A_1 \cup A_2 \cup A_3)=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)$

Then,

a) If $A_1\subseteq A_2, n(A_1 \cap A_2)=n(A_1)=200$ , and if $A_2\subseteq A_3, n(A_2\cap A_3)=n(A_2)=1000$

Since $A_1\subseteq A_2\; and \; A_2\subseteq A_3, \; then \; A_1\cap A_2 \cap A_3= A_1$

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-200-200-1000-200=4600$

b) Since the sets are pairwise disjoint

$n(A_1 \cup A_2 \cup A_3)=\\n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\200+1000+5000-0-0-0-0=6200$

c) Since there are two elements in common to each pair of sets and one element in all three sets, then

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-2-2-2-1=6193$

8 0

2 years ago

What are the roots of the quadratic function in the graph?

k0ka [10]

The answer would be B) -5, 3. The roots can be found where the graph crosses the x-axis, which on this graph is -5 and 3.

7 0

3 years ago

Carolyn is building a pen for a dog. The PERIMETER of the pen is 52 ft. The material is sold by the yard. It is 10.99 dollars pe

Mazyrski [523]

We know that the fence is 52 feet long, but since it's sold in yards, we need to somehow convert feet to yards.
First, we need to find a little something called a conversion factor. Basically, we need to see what we can do to get from one foot to one yard.
Well, how many feet are there in a yard? 3. So now we know that one foot is 1/3 of a yard.

So to convert 52ft to yards, we need to divide by 3. What's 52 divided by 3?
17.33.
Now we just need to multiply that by 10.99 so that we can find out the cost.
We get 190.45. That's your answer!

It all cost $190.45

Don't forget to rate this answer the Brainliest!

8 0

2 years ago

Write the decimal in standard form. 11-16 giving out 5 stars and thanks if its right!

alina1380 [7]

Answer:

11. 67.103

12. 7.25

13. 210.36

14. 10.5

15. 2.348

16. 72.2

hope that helps

5 0

2 years ago

What is 17x greater than -17?

lesya [120]

Answer:

Step-by-step explanation:

Any number that times 17 is bigger than -17

5 0

2 years ago