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Lelechka [254]
3 years ago
8

Find the value of the variable for which the value of the expression –3(2x+1) is 20 greater than the value of the expression 8x+

5
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0
<h3>Answer:</h3>

-2

<h3>Step-by-step explanation:</h3>

20 greater than 8x +5 is ...

... 8x +5 +20 = 8x +25

We want this value to be -3(2x +1), so we want to solve the equation ...

... 8x +25 = -3(2x +1)

... 8x +25 = -6x -3 . . . . . . eliminate parentheses

... 14x = -28 . . . . . . . . . . . add 6x-25

... x = -2 . . . . . . . . . . . . . . divide by the coefficient of x

The desired value of the variable is -2.

_____

<u>Check</u>

-3(2x+1) = -3(2(-2)+1) = -3(-3) = 9

8x+5 = 8(-2) +5 = -11

9 is 20 greater than -11, so the answer checks OK.

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Question 4 (Essay Worth 10 points)
Over [174]

The 3-D shape would be created if the figure was rotated around the x-axis is a cone

<h3>What are 3-D shapes?</h3>

3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height

<h3>How to determine the 3-D shape?</h3>

The coordinates are given as:

(0, 0), (-3, -4) and (-3, 0)

When the above coordinates are plotted on a coordinate plane and the points are connected;

We can see that the points form a right-triangle

See attachment for the shape

As a general rule

Rotating a right-triangle across the x-axis would form a cone

Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone

Read more about rotation at:

brainly.com/question/4289712

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8 0
2 years ago
Write a recursive formula for the sequence 6,10,14,18,22,.The find the next term
Assoli18 [71]

Answer:

10


Step-by-step explanation:


4 0
3 years ago
What is the value of x? Round to the nearest tenth. Please Help
Elodia [21]

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm

Substitute:

x^2+20.2^2=(14.7+x)^2           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

7 0
3 years ago
DODOL
ZanzabumX [31]

For this case we have that the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It is the slope of the line

(x_ {0}, y_ {0}): It is a point through which the line passes

In this case we have to:

(x_ {0}, y_ {0}) :( 3,2)

Substituting in the equation we have:

y-2 = m (x-3)

Answer:

y-2 = m (x-3)

We just need to replace the value of the slope

3 0
3 years ago
Elsie would like to take snowboarding lessons at powder mountain. She has saved $550 for lessons and a junior season pass that c
vlabodo [156]
So, she has 550 dollars saved. If the junior season pass costs 315, you subtract that from 550. You should then have 235 dollars. Next, you divide 235 by 45 dollars per lesson, and you should get 5.22. You can't buy half a lesson, so she only has enough for 5 lessons. 
3 0
3 years ago
Read 2 more answers
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