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Brums [2.3K]
3 years ago
7

title=" \frac{3}{5} {x}^{2} - 2 = - 5" alt=" \frac{3}{5} {x}^{2} - 2 = - 5" align="absmiddle" class="latex-formula">
single variable quadratics
Mathematics
1 answer:
stira [4]3 years ago
7 0

Firstly, add 2 to both sides of the equation: \frac{3}{5}x^2=-3

Next, multiply both sides by 5/3: x^2=-5

Next, square root both sides: x= \pm \sqrt{-5}

Lastly, factor out i (i = √-1) and <u>your answer will be x= \pm \sqrt{5}i</u>

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8 groups of ___ hundredths is 0.32
Viktor [21]

Answer:

the answer is 0.4 The reason is because 0.4 x8=0.32

Step-by-step explanation:

6 0
3 years ago
Please help me with this question!!!!!​
Naddika [18.5K]

Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph y= \frac {2}{5} x - 3 is below

y = - \frac {5}{2} x + 2

Step-by-step explanation:

Slope of the equation  y= \frac{2}{5} x -3   is  m_1 = \frac{2}{5}

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

m_2 = - \frac {1}{m_1}  = - \frac {5}{2}

Equation of line in point slope form is given as

y-y_1=m_2(x-x_1)

Here  (x1, y1) = (4, -8)

y+8 = - \frac{5}{2} (x-4)

Simplifying it further  

y = - \frac {5}{2} x + \frac {5}{2} 4 - 8

y = - \frac {5}{2} x + 2

6 0
3 years ago
Emily bought 4 cheeseburgers for $6 each and then spent $18 on a new shirt. She paid for the cheeseburgers and shirt with her de
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Read 2 more answers
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes.
adelina 88 [10]

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

7 0
3 years ago
please help me evaluate this. the answer is B but im not sure how to get the answer without using a calculator. please show step
iragen [17]

Answer:

  b.  9/100

Step-by-step explanation:

It helps if you have memorized the cubes of small integers. Of course, the ones needed here are ...

  3³ = 27

  10³ = 1000

The desired value can be simplified to ...

  \left(-\dfrac{1000}{27}\right)^{-2/3}=\left(-\sqrt[3]{\dfrac{3^3}{10^3}}\right)^2=\dfrac{(-3)^2}{10^2}=\dfrac{9}{100}

6 0
3 years ago
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