All categories

2 years ago

X^2 - 4x - 12 = 0 Factor and solve

1 answer:

7 0

Ax^2+bx+c=0

find what 2 numbers multiply to get c and add to get b
x^2-4x-12
b=-4
c=-12

x times y=-12
x+y=-4
factor -12
-1, 12
-2,6
-3,4
add
-1+12=11
-2+6=4
-3+4=1

the one that works is -2 and 6 because they can be reversed to make -6 and 2 which multiploy to get -12 and add to get -4 so

split it up into

x^2-4x-12=(x-6)(x+2)=0
set each to zero
x-6=0
add 6
x=6

x+2=0
subtract 2
x=-2

x=6 or -2

You might be interested in

What is the equation of the line in slope intercept form

Veseljchak [2.6K]

Answer:

y=5/4-10

Step-by-step explanation:

7 0

2 years ago

What is 0.5, three sixteenths, 0.75, and five and forty eighths in order from least to greatest

butalik [34]

I'm just estimating here,
5/48,3/16,0.5,0.75

8 0

3 years ago

Find (r-s) (t-s) + (s-r) (s-t) for all numbers r, s, and t. (a) 0 (b) 2 (c) 2rt (d) 2(s-r) (t-s) (e) 2(r-s) (t-s)

lyudmila [28]

Notice that the 2 expressions have 2 common terms.

(r-s) is just (s-r) times (-1)

similarly

(t-s) is just (s-t) times (-1)

this means that :

(r-s) (t-s) + (s-r) (s-t)=-(s-r)[-(s-t)]+(s-r) (s-t)

the 2 minuses in the first multiplication cancel each other so we have:

-(s-r)[-(s-t)]+(s-r) (s-t)=(s-r) (s-t)+(s-r) (s-t)=2(s-r) (s-t)

Answer:

d)2(s-r) (t-s)

3 0

3 years ago

Read 2 more answers

The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an

Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

$FV=PV[1+\frac{r}{100}]^{n}$

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

$FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}$

The future value is:

$FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27$

Thus, the expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

4 0

2 years ago

You work 40 hours a week and make $25 an hour. Each paycheck, the police union deducts $50 for dues. You also pay $264 every pay

Dominik [7]

Answer:

Step-by-step explanation:

40*25= 1000

1000-50-264=686

3 0

2 years ago