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Travka [436]
3 years ago
12

4(1 – x) + 2 x = –3( x + 1)

Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

x = - 7

Step-by-step explanation:

Given

4(1 - x) + 2x = - 3(x + 1) ← distribute parenthesis on both sides

4 - 4x + 2x = - 3x - 3, that is

4 - 2x = - 3x - 3 ( add 3x to both sides )

4 + x = - 3 ( subtract 4 from both sides )

x = - 7

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TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and
Fynjy0 [20]

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

7 0
3 years ago
Write the standard number for 800,000 + 4,000 + 600 + 40 + 2.
murzikaleks [220]

Answer:

804,642

Step-by-step explanation:

800,000 + 4,000 + 600 + 40 + 2.

Add the terms

804,642

4 0
4 years ago
Give the radian measure of an angle drawn in standard position that corresponds with the ray containing the coordinate point (−1
Sergeu [11.5K]

Answer:

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point (-12, -3\sqrt{2}) is approximately 1.108\pi radians.

Step-by-step explanation:

With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from \pi\,rad to \frac{3\pi}{2}\,rad. The angle in standard position can be estimated by using the following equivalence:

\theta = \pi\,rad + \tan^{-1} \left(\frac{3\sqrt{2}}{12} \right)

\theta \approx \pi \,rad + 0.108\pi \,rad

\theta \approx 1.108\pi\,rad

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point (-12, -3\sqrt{2}) is approximately 1.108\pi radians.

5 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
tangare [24]

Answer:

<h3>The given expression can be written in the form q(x)+\frac{r(x)}{b(x)} as (2x^2-x+3)+\frac{0}{x-3} where  q(x)=2x^2-x+3 , r(x)=0 and b(x)=x-3</h3>

Step-by-step explanation:

Given rational expression is \frac{2x^3-7x^2+6x-9}{x-3}

<h3>To rewrite the given rational expression in the given form  and match their correct expressions:</h3>

Rewrite the given rational expression \frac{2x^3-7x^2+6x-9}{x-3} in the form of q(x)+\frac{r(x)}{b(x)} where q(x) is the quotient, r(x) is the remainder and b(x) is the divisor.

<h3>Now solve the given expression by using Synthetic division, we get</h3>

Since x-3 is a factor for 2x^3-7x^2+6x-9

<h3>Therefore b(x)=x-3</h3>

3_|   2     -7     6     -9

       0      6    -3      9

   ------------------------------------

      2      -1       3      0

  ------------------------------------

Therefore we have quadratic equation 2x^2-x+3=0

<h3>q(x)=2x^2-x+3</h3><h3>Remainder is 0</h3><h3>Therefore r(x)=0</h3>

Therefore we can write in the form as (2x^2-x+3)+\frac{0}{x-3}

It is in the form of q(x)+\frac{r(x)}{b(x)}

<h3>Therefore the given expression can be written in the form q(x)+\frac{r(x)}{b(x)} as (2x^2-x+3)+\frac{0}{x-3} where  q(x)=2x^2-x+3 , r(x)=0 and b(x)=x-3</h3>

3 0
3 years ago
Read 2 more answers
Aurora is moving to a new house. she lived in her current house for 6 years. how many months is that?how many days?
sergejj [24]
There is 12 months a year, so multiply 6 with 12.
6*12 = 72 months

There is 366 days a year, so multiply 6 with 366
6*366 = 2196 days
3 0
3 years ago
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