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2 years ago

Solve the equation: x3−20=−15

Mathematics

2 answers:

Jlenok [28]2 years ago

8 0

Answer:

1 2/3

Step-by-step explanation:

3x-20= -15

+20 +20

3x = 5

= 1 2/3

Hope This Helps!

stich3 [128]2 years ago

7 0

Answer:

x = 1.71

Step-by-step explanation:

$x^3-20=-15\\x^3=-15+20\\x^3=5\\\sqrt[3]{x^3} =\sqrt[3]{5} \\x=1.71$

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In the diagram below,

sergey [27]

Can you attach a picture because this is very hard to read

5 0

2 years ago

Which phrase best describes the scatterplot below?

Vikentia [17]

Answer:

Strong negative correlation

Step-by-step explanation:

n the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.

Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.

Therefore, the phrase that best describes the scatter plot is: strong negative correlation.

8 0

3 years ago

Read 2 more answers

9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cab

dexar [7]

Answer:

791.2 ft

Step-by-step explanation:

The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.

$H=\sqrt {x^{2}+y^{2}}$

where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then

$H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft$

6 0

3 years ago

Read 2 more answers

Jason owns a small textile company that produces shirts. On a particular day, Jason has one worker come into the shop to make sh

Vesna [10]

Answer:

Variables:

$x$ → The number of hours the worker worked

$y$ → The number of shirts the worker made.

System fo equations:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

Step-by-step explanation:

Let be $x$ the number of hours the worker worked and $y$ the number of shirts the worker made.

Since:

Jason must pay the worker $25 per hour (which can be represented with $25x$ ).
He must pay $1.75 per shirt for material costs (which can be represented with $1.75y$ ).
The total expenses were $270.

You can write the following equation:

$25x+1.75 y=270$

Knowing that the worker created an average of 5 shirts per hour, you can write the other equation:

$y=5x$

Therefore, with this equations you can set up the following system of equations, which could be used to determine the number of hours the worker worked and the number of shirts the worker made:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

3 0

2 years ago

Use substitution to solve the system of equations Y+x=3 Y=1.5x+1

Serjik [45]

The solution to given system of equation is (x, y) = (0.8, 2.2)

Solution:

Given system of equations are:

y + x = 3 --------- eqn 1

y = 1.5x + 1 ---------- eqn 2

We have to solve the above system of equations by substitution method

Substitute eqn 2 in eqn 1

1.5x + 1 + x = 3

Combine the like terms

2.5x + 1 = 3

Move the constants to Right hand side of equation

2.5x = 3 - 1

2.5x = 2

x = 0.8

Substitute x = 0.8 in eqn 2

y = 1.5(0.8) + 1

y = 1.2 + 1

y = 2.2

Thus the solution to given system of equation is (x, y) = (0.8, 2.2)

7 0

3 years ago