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Varvara68 [4.7K]
3 years ago
9

Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?

Mathematics
1 answer:
ad-work [718]3 years ago
4 0
The domain is all real numbers OR (- infinity, infinity)

The range is y>= -2 OR
(-2, infinity)
You might be interested in
A polygon has its vertices at the following points.
seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

\sqrt{(x2-x1)^2 + (y2 -y1)^2}

AB = \sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}

BC = |7-4| = 3

CD = \sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0
2 years ago
Is the relation represented in this table a function? Helppp
k0ka [10]
The answer is no because the numbers are repeated
6 0
2 years ago
-5•3 = 3 • -5<br><br> Name the property that justifies the statement
algol13

Answer:

commutative property of multiplication

Step-by-step explanation:

3 0
3 years ago
2.2 divided by 2.15&gt;?
Reika [66]

Answer:

1.023255814>

Step-by-step explanation:

Just divide it.

5 0
3 years ago
I can’t understand 21-23 can someone solve or explain them please (geometry)
k0ka [10]
21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:

6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14

22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:

180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35

23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:

45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
3 0
3 years ago
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