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2 years ago

Question in image, it asks to show work

Mathematics

2 answers:

wel2 years ago

8 0

The value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

<h3>What is Polynomial?</h3>

A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).

Here, given polynomial

25y³ - 36y = 0

y(25y² - 36) = 0

y { (5y)² - (6)²} = 0

y {(5y-6)(5y+6)} = 0

so, y = 0, or 5y-6 = 0 or 5y+6 = 0

y = 0, or y = 6/5 or y = -6/5

Thus, the value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

Learn more about Polynomial from:

brainly.com/question/20121808

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navik [9.2K]2 years ago

5 0

The solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

<h3>How to solve the polynomial?</h3>

The polynomial is given as:

25y³ - 36y = 0

Factor out y in the above equation

y(25y² - 36) = 0

Split

y = 0 or 25y² - 36 = 0

Solving 25y² - 36 = 0, we have:

25y² - 36 = 0

Express 36 as 6² and 25 as 5²

(5y)² - 6² = 0

Apply the difference of two squares

(5y - 6)(5y + 6) = 0

Split

5y - 6 = 0 or 5y + 6 = 0

Solve for y

y = 6/5 or y = -6/5

Recall that:

y = 0

Hence, the solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

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If x varies inversely as y, and x=27 when y=6 find x when y=2

kondaur [170]

For this case we have that the inverse variation is defined as:

$y = \frac {k} {x}$

Where:

k: It is the constant of proportionality

According to the statement we have:

$x = 27\\y = 6\\6 = \frac {k} {27}$

We find the constant of proportionality:

$k = 27 * 6\\k = 162$

Then we find the value of x when $y = 2$ :

$2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81$

Answer:

$x = 81$

7 0

4 years ago

After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper w

Yuki888 [10]

(5,5730) (7,6022)
slope = (6022 - 5730) / (7 - 5) = 292/2 = 146

y = mx + b
slope(m) = 146
(5,5730)...x = 5 and y = 5730
sub and find b, the y int
5730 = 146(5) + b
5730 = 730 + b
5730 - 730 = b
5000 = b

so ur equation is : y = 146x + 5000 <==

3 0

3 years ago

What I do by step <br><br> Simplify

ch4aika [34]

Multiply everything by 2 then combine like terms

4 0

3 years ago

I need help Please!! ●NO LINKS!●

dybincka [34]

Answer:

125+1-12=114

Step-by-step explanation:

$5^{3}$ = 5×5×5 = 25×5 = 125

$(4-3)^{2}=(1)^{2}=1$

-2×6 = -12

6 0

2 years ago

Read 2 more answers

The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 14 $8.96 16 $10.24 18 $11.52 If c

shepuryov [24]

Given:

c = total cost.

s = number of songs.

To solve this question, follow the steps below.

Step 01: Find 2 points (s, c).

You can choose 2 points from the table.

Let's choose (14, 8.96) and (16, 10.24).

Step 02: Substitute one point in the general equation.

Given the general equation:

$c=ms+b$

Substituting the first point.

$\begin{gathered} 8.96=14m+b \\ 8.96-14m=b \\ b=8.96-14m \end{gathered}$

Isolating b by subtracting 8.96 m from both sides:

$\begin{gathered} 14-8.96m=8.96m+b-8.96m \\ 14-8.96m=b \\ b=14-8.96m \end{gathered}$

Step 03: Substitute b in the general equation.

$\begin{gathered} c=ms+b \\ c=ms+8.96-14m \end{gathered}$

Step 04: Substitute the second point in the equation above.

$\begin{gathered} c=ms+8.96-14m \\ 10.24=16m+8.96-14m \\ 10.24=2m+8.96 \end{gathered}$

Step 05: Solve the equation above for m.

To do it, first, subtract 8.96 from both sides.

$\begin{gathered} 10.24-8.96=2m+8.96-8.96 \\ 1.28=2m \end{gathered}$

Now, divide both sides by 2.

$\begin{gathered} \frac{1.28}{2}=\frac{2}{2}m \\ m=0.64 \end{gathered}$

Step 06: Substitute m in the equation from step 02 to find b.

$\begin{gathered} b=8.96-14m \\ b=8.96-14\cdot0.64 \\ b=8.96-8.96 \\ b=0 \end{gathered}$

Step 07: Write the equation.

$\begin{gathered} c=0.64s+0 \\ c=0.64s \end{gathered}$

Answer:

c = 0.64s

7 0

1 year ago