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Arisa [49]
3 years ago
11

Solve the equation z^2 + 3z - 18 = 0​

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

This is a quadratic equation. You have to factor it.

You have to find two numbers that meet the following requirement:

-When multiplied, is equal to -18.

-When added, is equal to 3.

The two numbers are 6 and -3.

Now factor it:

(x + 6)(x - 3)

So x = -6 or x = 3

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Find the average montly loss of a conpany with a loss of 36,000 for one year. What's the equation?
algol13
36,00÷ 12= 3,000 so that would be the average monthly loss.
5 0
3 years ago
Expand the binomial<br> <img src="https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D" id="TexFormula1" title="(x-\f
kkurt [141]

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

3 0
3 years ago
Show that 551 is a rational by writing it in the form a/b, where a and b are integers
igor_vitrenko [27]

Answer:

  551/1

Step-by-step explanation:

  551 = \dfrac{551}{1}

__

Any integer can be written as a rational number with a denominator of 1.

3 0
3 years ago
-a^2+46a-480=0<br> a - ?
sattari [20]
a = 30
a = 16

-a² + 46a -480 = 0

(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0

(-a + 30) = 0   ; (a - 16) = 0
-a = -30          ;   a = 16
 a = 30

To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0

a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
5 0
3 years ago
Read 2 more answers
ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 98°, what is the measure of ∠ABC?
gregori [183]
It's 82 degrees. Subtract your minor arc (98) by 360 to get your major arc, which is 262. Then, subtract 98 (minor arc) from 262 (major arc), which gives you 164. Finally, divide 164 by 2 to get angle ABC.
8 0
3 years ago
Read 2 more answers
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