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3 years ago

Solve the equation : x^(2)+5=3(x^(2)-3)

Mathematics

1 answer:

Fittoniya [83]3 years ago

6 0

Answer:

x = ± 2

Step-by-step explanation:

Given

x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )

0 = 2x² - 8 ( add 8 to both sides )

8 = 2x² ( divide both sides by 2 )

4 = x² ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

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A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are

AnnyKZ [126]

Answer:

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

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4 years ago

An audio books club charges an initial joining fee of $15.00. The cost per audio book is $12.00. The graph shows the cost of bel

Irina18 [472]

Answer:

the graph will describe 13x+15 if the cost per audio book goes up by $1.00.

Step-by-step explanation:

This happens because the coefficient to x is 12 before the change. If the change is the cost per audio book going up by one dollar, the coefficient changes to 13. The initial joining fee is the same ($15.00).

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4 years ago

135° Solve for <2. 62 = [?] 45° &2 86° Enter

andrey2020 [161]

Answer:

$\displaystyle \angle2 = {49}^{ \circ}$

Step-by-step explanation:

remember that,

if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles

thus our equation is

$\displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ}$

cancel out 86° from both sides:

$\displaystyle \angle2 = {49}^{ \circ}$

hence,

the measure of the missing angle is 49°

6 0

3 years ago

Read 2 more answers

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Greeley [361]

$\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$}$

Multiply both sides of the equation by 3.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}$

Combine 2x and −6x to get −4x.

$\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}$

Add 20 to both sides. Any value plus zero results in its same value.

$\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4} \end{gathered}$}$

Divide 20 by −4 to get −5.

$\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

5 0

2 years ago

Read 2 more answers

A researcher measures daily driving distance from college and weekly cost of gas for a group of commuting college students. What

juin [17]

Answer:

There is a positive correlation between these two variables.

Step-by-step explanation:

Positive correlation is an association amid two variables in which both variables change in the same direction.

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

As the distance covered by the vehicle increases the amount of gas consumed also increases. Thus, the weekly cost of gas will also increase.

Thus, there is a positive correlation between these two variables.

6 0

4 years ago