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WINSTONCH [101]
2 years ago
8

Please solve!!! Will name the Brailiest!

Mathematics
1 answer:
kiruha [24]2 years ago
7 0

Answer:

So to graph using a table, the first step is...well... make a table. so you have a column of x and y. under the x column write down a bunch of values you would like to test. I am going to test -2 through 2.

x | y

-2|

-1|

0 |

1 |

2 |

 

Next, we have to plug each of those values into the equation y=2x to see what the corresponding y value is.

when x=-2 y=2(-2)=-4, when x=-1 y=2(-1)=-2, and so on...

x | y

-2|-4

-1|-2

0 |0

1 |2

2 |4

 

Next, graph those points on a coordinate plane. Each row on the table is a point on the graph, (x,y).  Hope that helps!

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Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.
BlackZzzverrR [31]

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

4 0
2 years ago
Calculate the final displacement from 0 if an object first
8_murik_8 [283]

Answer:

final displacement = - 3cm +5cm = + 2 cm

ie 2 cm towards right

6 0
3 years ago
Which choices are equivalent to the fraction below check all the apply ""24" over 30
user100 [1]

Answer:

c) The reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

Step-by-step explanation:

Here, the given expression is  "24 over 30".

The given expression is  is equivalent to \frac{24}{30}

Now by Prime Factorization:

24  =  2 x 2 x 2 x 3

30  = 2 x 3 x 5

⇒ The common factors in 24 and 30 is  2 x 3  = 6

So, \frac{24}{30}  = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5}   = \frac{6 \times 4}{6 \times 5}   = \frac{4}{5}

Hence the reduced form of the given fraction   \frac{24}{30} =  \frac{4}{5}

6 0
3 years ago
Is it true that the planes x + 2y − 2z = 7 and x + 2y − 2z = −5 are two units away from the plane x + 2y − 2z = 1?
zhuklara [117]

Lets Find It Out..

First we'll find the equation of ALL planes parallel to the original one.

As a model consider this lesson:

Equation of a plane parallel to other

The normal vector is:
<span><span>→n</span>=<1,2−2></span>

The equation of the plane parallel to the original one passing through <span>P<span>(<span>x0</span>,<span>y0</span>,<span>z0</span>)</span></span>is:

<span><span>→n</span>⋅< x−<span>x0</span>,y−<span>y0</span>,z−<span>z0</span>>=0</span>
<span><1,2,−2>⋅<x−<span>x0</span>,y−<span>y0</span>,z−<span>z0</span>>=0</span>
<span>x−<span>x0</span>+2y−2<span>y0</span>−2z+2<span>z0</span>=0</span>
<span>x+2y−2z−<span>x0</span>−2<span>y0</span>+2<span>z0</span>=0</span>

Or

<span>x+2y−2z+d=0</span> [1]
where <span>a=1</span>, <span>b=2</span>, <span>c=−2</span> and <span>d=−<span>x0</span>−2<span>y0</span>+2<span>z0</span></span>

Now we'll find planes that obey the previous formula and at a distance of 2 units from a point in the original plane. (We should expect 2 results, one for each half-space delimited by the original plane.)
As a model consider this lesson:

Distance between 2 parallel planes

In the original plane let's choose a point.
For instance, when <span>x=0</span> and <span>y=0</span>:
<span>x+2y−2z=1</span> => <span>0+2⋅0−2z=1</span> => <span>z=−<span>12</span></span>
<span>→<span>P1</span><span>(0,0,−<span>12</span>)</span></span>

In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping <span>D=2</span>, and d as d itself, we get:

<span><span>D=<span><span>|a<span>x1</span>+b<span>y1</span>+c<span>z1</span>+d|</span><span>√<span><span>a2</span>+<span>b2</span>+<span>c2</span></span></span></span></span>
<span>2=<span><span><span>∣∣</span>1⋅0+2⋅0+<span>(−2)</span>⋅<span>(−<span>12</span>)</span>+d<span>∣∣</span></span><span>√<span>1+4+4</span></span></span></span>
<span><span>|d+1|</span>=2⋅3</span> => <span><span>|d+1|</span>=6</span>First solution:
<span>d+1=6</span> => <span>d=5</span>
<span>→x+2y−2z+5=0</span>Second solution:
<span>d+1=−6</span> => <span>d=−7</span>
<span>→x+2y−2z−7=<span>0</span></span></span>
8 0
2 years ago
What is the ratio of 3/20
Sveta_85 [38]
The ratio of 3/20 is 3:20
5 0
3 years ago
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