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Lynna [10]
3 years ago
10

Find the value of c.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
Yeah, it is 16, the way they worked it out is correct also
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What are three consecutive integers whose product is 480 more than their sum?
Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

  • Let the first number be n - 1
  • Let the second number be n
  • Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0
3 years ago
3# Find the missing variable (s). Round to the nearest tenth.
rewona [7]

Answer:


Step-by-step explanation:


This triangle is already positioned to match trig functions (also known as circular functions).


Point A is origin, side AC (length x) is on X axis,

side CB (length y) is parallel to Y axis.


***** You just remember *****


cos is horizontal, on X axis,

sin is vertical, on Y axis.

To get from unit triangle with hypotenuse 1,

horizontal side cos(θ), vertical side sin(θ), you multiply all sides by same number, namely, the specified length of the hypotenuse.


***** that's all you need to know *****


Draw a unit circle centered at A, mark point Y at intersection of circle and AB, and drop a vertical line from Y crossing X axis at X.


Then radial segment AY is 1, AB is 10

horizontal segment AX is cos(32°), AC is 10AX

vertical segment XY is sin(32°), CB is 10XY.


So x = 10 cos(32°), y= 10 sin(32°).




7 0
3 years ago
**ANSWER ASAP WILL GIVE BRAINLIEST; QUESTIONS ARE IN PICTURE**
lord [1]

Answer:

below( hope this helps )

Step-by-step explanation:

2. No because we don't know if the triangles are right triangles.

3. unknown since there are no labels to what the triangle points are

6 0
3 years ago
Find the derivative of f(t)=2√t - 2/√t
Semmy [17]
The answer is t=1.

Hope this helps.
8 0
3 years ago
Read 2 more answers
For what values of x does the binomial 2x−1 take on a positive value?
Mashutka [201]
1). 2x-1>0
2x>1
x>½

2) 21-3y<0
-3y<-21
y>7

3) 5-3c>80
-3c>75
c<-25
3 0
3 years ago
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