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Tems11 [23]
3 years ago
15

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

the "negative solution" is -3

Step-by-step explanation:

Represent the number by n.

Then n^2 - 24 = 5n

We rewrite this in standard quadratic form:

n^2 - 5n - 24 = 0

This factors as follows;  (n + 3)(n - 8) = 0

The roots are n = -3 and n = 8.  Thus, the "negative solution" is -3

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dezoksy [38]

Answer: Total amount earned by Laney in 4hour=$138

Total amount earned by Maka in 4hours=$134

Difference =$4

Step-by-step explanation:

Since

Maka charges can be modeled by the equation F=30h+14,

where h =number of hours that Maka tutors

F = the total amount earned. Following same model

With 14 being the charge in dollar for travel expenses.

Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as

F= 32h +10

Such that total amount earned by

Maka in 4hours gives

F=30h+14

F=30x4 +14

F=120+14=$134

In the same vein the total amount earned by Laney in 4hours gives

F=32h+10

F= 32x4+10

F=128+10=$138

The difference in money earned by Laney and Maka = $138-$134= $4

7 0
2 years ago
Compare 2.3 and 2.03
Andru [333]
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8 0
3 years ago
If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9​
Olenka [21]

Answer:

4x2-9

Step-by-step explanation:

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8 0
3 years ago
A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x
balandron [24]

9514 1404 393

Answer:

  x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

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4 0
2 years ago
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lesantik [10]

Answer:

For the first picture: the answers A

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I put each fraction into desmos for the second picture and the one that matched the image was A.

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5 0
3 years ago
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