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3 years ago

X^4 - 17x^2 + 16 hhhhhhhhhhhhhhhhhhhhh

Mathematics

1 answer:

defon3 years ago

5 0

Answer:

Step-by-step explanation:

If the question is to factorize

$x^4-17x^2+16\\\\x^4-x^2-16x^2+16\\\\=x^2(x^2-1)-16(x^2-1)\\\\=(x^2-1)(x^2-16)\\\\=(x+1)(x-1)(x-4)(x+4)\\$

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Logarithms- How to answer these questions?

kotykmax [81]

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

6 0

3 years ago

Read 2 more answers

Problem 1 a jar contains blue, red and green balls. the null-hypothesis h0 is that there is 25% percent of red balls. (1) a samp

Norma-Jean [14]

(1) the probability of that happening is .4444.. so on. the jar isnt 25% red balls because 25% of 36 is only 9 and he pulled out 16 red balls.

I dont know number two sorry.

5 0

3 years ago

Subtract this please

cupoosta [38]

Answer:

B. 3x^2 - 13x + 7

Step-by-step explanation:

6x^2 - 5x + 3 - (3x^2 + 8x - 4)

6x^2 - 5x + 3 - 3x^2 - 8x + 4

3x^2 - 13x + 7

4 0

3 years ago

Read 2 more answers

why is there no need to go further than the multiples of 7 when checking if a number less than 100 is prime

andrezito [222]

Step-by-step explanation:

because 7 is the highest prime number that when squared is less than 100, 11 yhe next prime number when squared is 121. As such all non-prime numbers less than 100 will be a would have prime factors of either 2, 3, 5 & 7

5 0

3 years ago

Please HELP!!! I'll make you Brainliest!!!!

erica [24]

Answer: 1. d. $7x\geq 350; x\geq 50$

2. a. (5, 28)

3. a: C(n) = 0.90 n - 0.40

Step-by-step explanation:

1. Here x represents the saving of one day.

Thus, the total saving for 7 day = 7 x

And, my goal is to save at least $350.00 ( According to the question)

⇒ $7x\geq 350$

⇒ $x\geq 50$ ( by dividing both sides by 7 )

Therefore, Option d is correct.

2. since, if a point satisfies an equation then we can say that it is the solution of the equation.

(5,28) satisfies y= 5x + 3

Because at x = 5, 5×5 + 3 = 25 + 3 = 28

except this point other points (28, 5), (4, 20) and (3, 19) are not satisfying given equation of line.

Therefore, only (5,28) is the solution of line.

⇒ Option a is correct.

3. Here n represents the number of tunas.

And, according to question the cost of one tuna = $0.90

⇒ Cost of n tunas = $ 0.90n

But again according to the question,

I have a coupon for $0.40 off your total purchase.

Thus, $ 0.40 will be less from my total purchasing cost.

⇒ The cost of n tunas = $ (0.90 n - 0.4)

Option a is correct.

7 0

3 years ago