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Firlakuza [10]
3 years ago
11

Find the intervals on which f(x)=2xx2+64 increases.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

f(0)=64, f(1)=66, f(2)=72, f(3)=82, f(4)=96,...=2,6,10,14,...=2{1,3,5,7,...}
This can be written 2{2x+1}, so the intervals on which f(x) increases are 4x+2.
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PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTS and RTQ
inysia [295]

we know that

m∠PTS=m∠RTQ -----> by vertical angles

Step 1

m∠RTQ+m∠QTS=180\° -------> by supplementary angles

solve for m∠QTS

m∠QTS=180\°-m∠RTQ -------> equation 1

Step 2

m∠PTS+m∠QTS=180\° -------> by supplementary angles

solve for m∠QTS

m∠QTS=180\°-m∠PTS -------> equation 2

Step 3

equate equation 1 and equation 2

180\°-m∠RTQ=180\°-m∠PTS

-m∠RTQ=-m∠PTS

so

m∠RTQ=m∠PTS

therefore

<u>the answer is the option A</u>

Sum of the measures of angles RTQ and QTS is 180°

7 0
3 years ago
Read 2 more answers
Find three consecutive even integers so that twice the largest
vekshin1

If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.

"Twice the largest is 20 less than the sum of all three" translates to

2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20

Solve for <em>x</em> :

2<em>x</em> + 8 = 3<em>x</em> - 10

<em>x</em> = 18

Then the three numbers are {18, 20, 22}.

7 0
3 years ago
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8a to the power of 6 times a to the power of 4 over 4a to the power of -3
svetlana [45]

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

4 0
3 years ago
What is the correct answer to this question?<br><br> F/2=5/8
ANTONII [103]

Answer:

F = 1.25

Step-by-step explanation:

All you would have to do is cross multiply, so our equations starts at \frac{F}{2} = \frac{5}{8}. We would now multiply F by 8 and 2 by 5. We now have 8F = 10. We can now divide both sides of the equation by 8 to get F = 1.25.

4 0
3 years ago
Identify all sequences of transformations that results in similar figures.
Rus_ich [418]
A is the answer. Reflection and rotation.
7 0
2 years ago
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