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Nadusha1986 [10]
3 years ago
15

Factor 4a^2b^4-25x^6y^4

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
4a²b⁴ - 25x⁶y⁴

(2ab²)² - (5x³y²)²     

= (2ab² + 5x³y²)(<span>2ab² - 5x³y²)    By difference of two squares</span>
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F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
3(x – 2) + 4x = 10(x + 1)
balandron [24]

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

3 0
3 years ago
Read 2 more answers
Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work
boyakko [2]
When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
 f (-1) = 4 * 7 ^ -1
 f(-1) = 4* 1/7
 f (-1) = 0.5714
 The next part of the question is not clear. If it refers to the function at x = 2 then:
 f (2) = 4 * 7 ^ (2)
 f(2) =4*49
 f (2) = 196
 If it refers to it in x ^ 2
 f (x ^ 2) = 4 * 7 ^ (x ^ 2)
3 0
3 years ago
Solve for q q+5/4=-2
Kay [80]

Answer: q = -13

Step-by-step explanation:

(q+5)/4 = -2 first you multiply 4 to remove denominators

(q+5) = -8 then subtract 5

q = -13

4 0
3 years ago
BRAINLY IF YOU GOT IT RIGHT !!!!!!!!!!!!!!!!!!!!!
OverLord2011 [107]

Answer:

Sana ako nalng pinaka bunso dito sa brainly para ako lang baby nyo wala ng iba pa. ⊂(◉‿◉)つ

6 0
3 years ago
Read 2 more answers
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