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Nataliya [291]
3 years ago
15

The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

<h3>              9, 11, 13, 15</h3>

Step-by-step explanation:

{k - some integer}

2k+1  - the first odd integer (the least)

5(2k+1)  - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

2k+1+2 = 2k+3  - the odd integer consecutive to 2k+1

2k+3+2 = 2k+5  - the next odd consecutive integer (third)

2k+5+2 = 2k+7  - the last odd consecutive integer (fourth)

2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>

2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

     - 10k       -10k

-2k + 16 = 8

     -16       - 16    

      -2k = -8  

    ÷(-2)    ÷(-2)  

      k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15  

Check: 9+11+13+15 = 48;  48-3 = 45;  45:5 = 9 = 2k+1

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Step-by-step explanation:

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4 0
3 years ago
A(1) = -11<br> a(n) = a(n − 1). 10<br> What is the 4th term in the sequence?
neonofarm [45]

Answer:

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Clearly see the equation

you can do it directly Apply logic

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3 years ago
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photoshop1234 [79]

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Effectus [21]
Let's solve for a.
p
x
=
x
3
−
4
x
2
+
a
Step 1: Flip the equation.
x
3
−
4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3
−
4
x
2
+
a
+
−
x
3
=
p
x
+
−
x
3
−
4
x
2
+
a
=
−
x
3
+
p
x
Step 3: Add 4x^2 to both sides.
−
4
x
2
+
a
+
4
x
2
=
−
x
3
+
p
x
+
4
x
2
a
=
−
x
3
+
p
x
+
4
x
2

Answer:
a
=
−
x
3
+
p
x
+
4
x
2
3 0
3 years ago
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2
Elena L [17]

Answer:

Okay! So to start this problem, we need to look at the given information a little closer to make sure we have everything we need! This is a triangular pyramid, meaning that it has a total of 4 sides, which are all congruent triangles, meaning they all have the same surface area! We are also given the total surface area, which is 2304 cm^2.

If we need to find out how big one of the sides are, we should just have to divide the total surface area by 4, because there are 4 sides with the same surface area! 2304/4 = 576 cm^2, so your answer should be A) 576 cm2!

3 0
4 years ago
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