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Dima020 [189]
3 years ago
15

Help! I'll give brainliest to the first correct answer! ​

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Domain:  the set of all permissible input values.  In this particular case, x cannot be -3, because that would cause division by zero.  Thus, the domain is (-∞, -3) ∪ (-3,∞)

Range:  the range consists of the set of all values of y that are possible.  Looking at the parent function, y = 1/x, we see that the range of that function is (-∞, 0) ∪ (0,∞); in other words, y gets close to but never actually reaches zero.  This is also true of y = -1 / (x + 3).  

Thus, the desired range is (-∞, 0) ∪ (0,∞).

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Find the difference.<br> 19/13 - 5/13
Tpy6a [65]

Answer:

14/13

Step-by-step explanation:

19/13-5/13=14/13

Since the denominators are the same, you just do the subtraction of the nominators.

3 0
3 years ago
Read 2 more answers
In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.
Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

  • <ABD = <BDH = 38°
  • <DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

4 0
2 years ago
(01.05 LC)
Brums [2.3K]
I think it is c. Hope this helps!
5 0
3 years ago
Rewrite 3/9 as a mixed number
Daniel [21]
3/9 is already a fraction, you do not need to change it. 3/9 is not more than 9/9
4 0
3 years ago
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The ratio of coretta's weight to Justin's weight is 3:4. If corretta gains 5 pounds the ratio of their weights will be 4:5. How
Verdich [7]

Answer:

100 pounds

Step-by-step explanation:

4 0
2 years ago
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