Which equation has both 4 and -4 as possible values of y? a. y3 = 64
b. y2 = 8
c. y3 = 8
d. y2 = 16

Answers

Answer 1

Answer: A) y3 = 64 is $y = (64)/(3)$
B) y2 = 8 is y = 4
C) y3 = 8 is y = $(8)/(3)$
D) y2 = 16 is y = 8

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!What are the zeros of the polynomial function?

Select EACH correct answer.

Answers

Answer: x = {-3, -1, 1, 7}

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 22x² + 4x + 21

possible roots are: +/- 1, 3, 7, 21

Let's try x = 1

1 | 1 -4 -22 4 21

| ↓ 1 -3 -25 -21

1 -3 -25 -21 0 remainder is 0 so (x - 1) is a factor

(x - 1)(x³ - 3x² - 25x - 21)

Next, let's try x = -1

-1 | 1 -3 -25 -21

| ↓ -1 4 21

1 -4 -21 0 remainder is 0 so (x + 1) is a factor

(x - 1)(x + 1)(x² - 4x - 21)

Then, factor the third polynomial

(x - 1)(x + 1)(x + 3)(x - 7)

Now, set each factor equal to zero and solve each one.

(x - 1) = 0 ⇒ x = 1

(x + 1) = 0 ⇒ x = -1

(x + 3) = 0 ⇒ x = -3

(x - 7) = 0 ⇒ x = 7

Answer:

-3, -1, 1, 7

Step-by-step explanation:

Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.

f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0

x = -3 is a solution

f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0

x = -1 is a solution

f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21

x = 0 is not a solution

f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0

x = 1 is a solution

f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192

x = 3 is not a solution

f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0

x = 7 is a solution

Saturn’s rings span up to about (7.5 · 10-1) of the distance between the Earth and its moons. If Saturn’s rings span up to (2.82 · 105 kilometers, what is the distance between Earth and its moons. 3.76 · 105 km
21,150 km
21.15 · 104 km
2.115 · 105 km

Answers

The distance between Earth and its moons is 2.115 · 10⁵ km. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Saturn’s rings span up to about (7.5 · 10⁻¹) of the distance between the Earth and its moons. If Saturn’s rings span up to (2.82 · 10⁵ kilometers).

The distance between Earth and its moons is calculated as,

⇒ 7.5 · 10⁻¹ x 2.82 · 10⁵

⇒ 0.75 x 2.82 · 10⁵

⇒ 2.115 · 10⁵ km

Thus, the correct option is D.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ3

2.82 × 10^5 = (7.5×10^-1) × Length between the earth and the moon
Length between the earth and the moon = (2.82×10^5)÷(7.5×10^-1) = 376000 = 3.76×10^5
i think this is correct hope it helps.

PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST to the first person

Answers

Answer:

Step-by-step explanation:

The answer is A.

An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How many pounds of the second alloy must be added to the first to get a 12% mixture? 30 lb 40 lb 60 lb

Answers

so, they alloy is hmmm some piece of metal.

it has tin, among other metals, regardless of what other metals it may have, we know that for the first one, 15% is tin, the rest something else, and we also know that the alloy itself, weights 20 lbs.

now, how much is just the weight of the tin metal in it alone? well, is 15% of 20 lbs, or (15/100) * 20, or 3 lbs, so of all those 20 lbs, only 3 lbs or 15% is tin.

for the second alloy, let's say we'll add "x" lbs, we know the second alloy is 10% tin, how much of that weight is tin? well 10% of x, or (10/100) * x, or 0.10x lbs.

now, we're looking for a mixture, say the resulting lbs of mix will be "y" lbs, and we know the mixture will be 12% of tin, how much is 12% of y? (12/100) * y, or 0.12y.

now, regardless of what "x" and "y" is, we know that 20 + x = y, and that 3 + 0.10x = 0.12y, thus

$\bf \begin{array}{lccclll} &\stackrel{lbs}{amount}&\stackrel{tin~\%}{quantity}&\stackrel{tin~lbs}{quantity}\n &------&------&------\n \textit{15\% alloy}&20&0.15&3\n \textit{10\% alloy}&x&0.10&0.10x\n ------&------&------&------\n mixture&y&0.12&0.12y \end{array} \n\n\n \begin{cases} 20+x=\boxed{y}\n 3+0.10x=0.12y\n ----------\n 3+0.10x=0.12\left( \boxed{20+x} \right) \end{cases} \n\n\n 3+0.10x=2.4+0.12x\implies 3-2.4=0.12x-0.10x \n\n\n 0.6=0.02x\implies \cfrac{0.6}{0.02}=x\implies 30=x$

Answer:

30 lb

Step-by-step explanation:

Please help I need to know now :(

Answers

Answer:

$(6x*x^(3))/(y^(2))\n\n$

Step-by-step explanation:

$a^(-m)=(1)/(a^(m))\n\n(1)/(a^(-m))=a^(m)\n\na^(m)*a^(n)=a^(m+n)\n\n\n(6xy^(-2))/(x^(-3))=(6*x*x^(3))/(y^(2))\n\n=(6x^((1+3)))/(y^(2))\n\n=(6x^(4))/(y^(2))$