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vekshin1
2 years ago
12

Find any real solutions for the following quadratic equations. 2 x2 - 8 = 0 x2 = -5

Mathematics
1 answer:
valkas [14]2 years ago
5 0
Hello,
I) 2(x²-4)=0
==>(x-2)(x+2)=0
==>x=2 or x=-2

II)
No real solutions.


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2w + 7 = 2(w + 5) - 8
BARSIC [14]

Answer:

no solution

Step-by-step explanation:

2w + 7 = 2(w + 5) - 8

Distribute

2w+7 = 2w+10-8

Combine like terms

2w+7 = 2w+2

Subtract 2w from each side

7 = 2

This is never true so there is no solution

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The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) (4 points)
slamgirl [31]
Check the slopes 
the first 2 points have slope (3-1) / (5-1) = 2/4  = 1/2
points 2 and 3 slope =  4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope =  4/2 = 2

so we have 2 pairs of opposite sides which are parallel

looks like a parallelogram or a rhombus 

if adjacent sides are equal its a rhombus

length betwee  pts 1 and 2  = sqrt(2^2 + 4^2) = sqrt20
 .. ...  ...   ..  ..   .. ...2 and 3 =  sqrt(4^2 + 2^2) = sqrt20

so it is a rhombus

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3 years ago
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Solve proportion for x <br><br> 3/2x+5 = 1/9x<br><br> A. 1/5<br> B. 1/2<br> C.5/3<br> D.16/5
VikaD [51]
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3 years ago
What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x
Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

y=1\cdot \frac{3}{2}

y=\frac{3}{2}

y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\left(\frac{2}{3}\right)^x=0

We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

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1:24  get them each doqwn 1 inch 24 inche = 2 feet
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