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3 years ago

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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For her phone service , Rania pays a monthly fee of $ 18 , and an additional $0.06 per minute of use. The least she has been cha

pogonyaev

Answer:

I'm assuming we need to find the number of minute she as used. to do that we can right an inequality with m being the number of minutes

18+0.06m≥88.56

we then just solve this like we would with any other algebra equation, First we subtract 18 from both sides.

0.06m≥70.56

Then we dives by 0.06

m≥1176

Rania has used at least 1176 minutes

4 0

3 years ago

Log 15 (2x − 2) = log 15 (x+9)

notka56 [123]

Answer:

$x=11$

Step-by-step explanation:

Given the equation

$\log_{15}(2x-2)=\log_{15}(x+9)$

Note that

$2x-2>0\\ \\2x>2\\ \\x>1$

and

$x+9>0\\ \\x>-9$

Combined, $x>1$

Solve the equation:

$2x-2= x+9\\ \\2x-x=9+2\\ \\x=11$

Since $11>1,$ this is the solution to the equation.

5 0

3 years ago

What is 1,364 divided by 62

zzz [600]

The answer is ...... 22

3 0

3 years ago

Read 2 more answers

Could y’all help me out with this?

Aneli [31]

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

4 0

3 years ago

A rectangular field will be fenced on all four sides. There will also be a line of fence across the field, parallel to the short

Dimas [21]

Answer:

150m by 300 m

Step-by-step explanation:

150×300=45000

all sides add up to 900m

150+150+300+300

3 0

3 years ago