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EastWind [94]
3 years ago
15

Write the quadratic equation in factored form. x2 + x - 12 = 0

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

(x + 4)(x - 3)

Step-by-step explanation:

x^2 + x - 12 = 0

In order to factorise an equation, one must take into consideration the factors of the values in given equation.

In the factored form, the above equation becomes

(x + 4)(x- 3)

Factors of x^2 = x times x

Factors of -12 = +4 x -3

As shown in the factored form above

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Which is an exponential decay function f (x)=3/4 (7/4)x f (x)=2/3 (4/5)-x. F (x)=3/2 (8/7)-x f (x)=1/3 (9/2)x
dsp73
The given functions are
1.\, f(x)= \frac{3}{4}( \frac{7}{4})^{x} \\ \\2.\,f(x)= \frac{2}{3}( \frac{4}{5} ) ^{-x}\\\\3.\, f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}\\\\4.\,f(x)= \frac{1}{3} ( \frac{9}{2} )^{x}

Evaluate the functions. 
1. Because 7/4 > 1 and the exponent is positive,
   the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
    the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
    the function decays.
4. Because 9/2 > 1 and the exponent is positive,
    the function does not decay.

A composite plot the functions verifies the answer.

Answer: f(x)= \frac{3}{2} ( \frac{8}{7} )^{-x}

7 0
3 years ago
Read 2 more answers
Need help on this please
rodikova [14]
Answer: 2√10 - √30

explanation:

ok so they’re asking for the difference between the lengths of the sides of each cube. they have different SA’s (surface areas). all you gotta do is plug in the SA in the given equation to find the length of the side and THEN you subtract the answers and thats how you find the difference between the sides.

given:
s = √(SA/6)
SA1 = 240 m^2
SA2 = 180 m^2

S1 = √(240/6) = 2√10 or 6.32
S2 = √(180/6) = √30 or 5.47

s1 -s2 = 2√10 - √30
4 0
2 years ago
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 1:4. Which of the following best describes the amo
dybincka [34]
There is one cup of lemonade to four cups of iced tea.
3 0
3 years ago
The numbers 4, 8, 12, and 22 are all multiples of 4.<br>t or f
Romashka-Z-Leto [24]
The answer is false 22 isn’t a multiple of 4
6 0
3 years ago
What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?
kherson [118]
158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=<span>2<span>(<span><span><span>wl</span>+<span>hl</span></span>+<span>hw</span></span><span>) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)</span></span></span>
8 0
2 years ago
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