Find all the zeros of the equation. 27x2-324=-x4

Answers

Answer 1

Answer: Well, if I remember correctly, Zeroes just mean the x values. But I can't tell where your equation breaks apart; like which parts are which parts of the equation

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-3-y=24
y=3x solving systems of equations by substitution

Answers

{ - 3 - y = 24 ⇒ - y = 24 + 3 .(-1) ⇒ y = - 24 - 3 ⇒ y = - 27
{ y = 3x

y = 3x
( - 27 ) = 3x
- 27 = 3x
- 27 = x
3
- 9 = x

S = { - 9 , - 27 }

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?{5, 8}
{-5, -8}
{3, 8}
{4, 7}
{4, 8}

Answers

Answer:

Hence, the domain of the function is:

{4,7}

Step-by-step explanation:

We are given the range of the function:

$f(k)=k^2+2k+1$ as {25,16}

The function f(k) could also be written as:

$f(k)=k^2+2k+1=k^2+k+k+1\n\nf(k)=k(k+1)+1(k+1)\n\nf(k)=(k+1)(k+1)\n\nf(k)=(k+1)^2$

The range is the value of the function at some k.

if f(k)=25 then we have to find the value of k.

$f(k)=25=5^2=(k+1)^2$

on taking square root on both side we have:

$k+1=5\n\nk=5-1\n\nk=4$

if f(k)=64 then we have to find the value of k.

$f(k)=64=8^2=(k+1)^2$

on taking square root on both side we have:

$k+1=8\n\nk=8-1\n\nk=7$

Hence, the domain of the function is:

{4,7}

The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then,
25 = k2 + 2 k + 1 (k-4) * (k+6) = 0
64 = k2 + 2 k + 1 (k-7) * (k+9) = 0
hence the domain is {-9,-6, 4,7}

How to tell when to use positive or negative symbols when dividing?

Answers

Always look to the left of the number if there's a minus sign then it's negative. If it has nothing or a plus sign, then it is positive.

The price of an item has dropped to $102 today. Yesterday it was $120. Find the percentage decrease.

Answers

Using cross multiplication, 102/120=x/100 ---> 120x=10200 divide the entire problem by 120 ---> 85. 102 is 85% of 120, so the item has dropped in price by 15%

Final answer:

The decrease in price is $18. The percentage decrease is calculated by dividing the decrease by the original price and multiplying by 100, which results in a 15% decrease.

Explanation:

The problem involves finding the percentage decrease of a price from $120 to $102. The first step is to find out how much the price decreased. This involves subtracting the new price ($102) from the original price ($120), which gives us an amount of $18. Now, the percentage decrease is computed by dividing this decrease ($18) by the original price ($120) and multiplying the result by 100. Hence, Percentage decrease = ($18 / $120) * 100% = 15%.

Therefore, the price has decreased by 15% from yesterday to today.

Learn more about percentage decrease here:

brainly.com/question/35705707

#SPJ2

Given f(x)=3/4x and f(x) = 75 solve for x

Answers

Answer:

x=100

Step-by-step explanation:

75=3/4x

4/3 × 75 = x

4 × 75 = 300

300/3= 100

100(3/4) = 75

x = 100

PLEASE ANSWER ASAP IF YOU KNOW THIS :D Kim earns $30 for babysitting on Friday nights. She makes an average of $1.25 in tips per hour. Write the function of Kim's earnings, and solve for how much she would make after 3 hours.a. y = 1.25x + 30; $33.75
b. y = 30x + 1.25; $43.75
c. y = 30x + 1.25; $91.25
d. y = 1.25x + 30; $31.25

Answers

y = 1.25x + 30....after 3 hrs
y = 1.25(3) + 30
y = 3.75 + 30
y = 33.75

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A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:f(n) = 9(0.7)n What does the number 0.7 represent? The ball bounces to 30% of its previous height with each bounce. The height at which the ball bounces at the nth bounce is 0.3 feet. The ball bounces to 70% of its previous height with each bounce. The height from which the ball was dropped at the nth bounce is 0.7 feet.