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Ratling [72]
3 years ago
9

(09.02)

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4

Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.
You might be interested in
A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole num
zaharov [31]

Answer:

25306

Step-by-step explanation:

a=starting value = 20000

r=\text{rate = }4\% = 0.04

r=rate = 4%=0.04

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.04=1.04

b=1+r=1+0.04=1.04

\text{Write Exponential Function:}

Write Exponential Function:

y=20000(1.04)^x

y=20000(1.04)  

x

 

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=20000(1.04)^{6}

y=20000(1.04)  

6

 

y= 25306.38037

y=25306.38037

7 0
3 years ago
Distributive Property (a+8)(a-3)=
polet [3.4K]

Distribute.

(a + 8)(a -3)

FOIL:

First, Outside, Inside, and Last

a * a = a^2

a * 3 = 3a

8 * a = 8a

8 * -3 = - 24

a^2 + 11a - 24

Distributed Expression: a^2 + 11a - 24

3 0
3 years ago
Bart wants to deposit his piggy bank savings into a savings account. If he deposits $325. 76, how many whole years will it take,
vladimir1956 [14]

Answer:

Step-by-step explanation:

Compounding interest :

Future value of money = Present value * (1+ r)^N

r - interest rate

n - number of period

In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N

by solving that we can find it that N is equal to 10.3675

Simple interest :

400 - 325.76 = 74.26$ we need to increase

325.76*2% = 6.5152$ each year

74.26 / 6.5152 = 11.3949

as a whole year = 12years

6 0
2 years ago
What is the value of x?<br><br> What is the value of y?
Rudik [331]

Answer:

Y= 20

X= 25

Step-by-step explanation:

The angles of a triangle have to equal 180

So

80+60 = 140

180 - 140 = 40

40/2 = 20

Y = 20

The angles of a linear line split equal 180

So

2y is one side of it which we learned Y = 20 which makes that side 40

To find the other side just guess and check

6(25) = 150

150 - 10 = 140

So the 2y = 40 and the (6x-10) = 140

So yea boom done

6 0
3 years ago
PLSSS<br><br> C= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B12%5E%7B3%7D%20.%206%5E%7B5%7D%20%7D%7B9%5E%7B4%7D%20.%202%5E%7B10%
Rudiy27

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

12 = 3.4 = 3 .2.2  = 3.2^{2}\\12^{3}  = (3.2^{2} )^{3} = 3^{3}2^{6}  \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator }  =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2  

7 0
2 years ago
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