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sladkih [1.3K]
4 years ago
8

What is the solution for this inequality? 8x<-32

Mathematics
2 answers:
Tju [1.3M]4 years ago
7 0

Step-by-step explanation:

rhrufh38299917489xjqgs8cjrnjci

Mandarinka [93]4 years ago
4 0

Answer:

8x<-32

x<4

Step-by-step explanation:

divide both of these numbers by 8

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Write the equation of a line that is perpendicular to x=-6x=−6x, equals, minus, 6 and that passes through the point (-1,-2)(−1,−
Alja [10]

9514 1404 393

Answer:

  y = -2

Step-by-step explanation:

The given line is a vertical line, so a perpendicular line will be a horizontal line. It will have an equation of the form ...

  y = constant

In order for the line to go through the given point, the constant in the equation must be the same as the y-coordinate of the point: -2.

Your perpendicular line is ...

  y = -2

3 0
3 years ago
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A price of a motorcycle is Rs 175000. The year rate of deprecation is 4%. Find the price of motorcycle after 3 years
sasho [114]

FV = PV (1 - \frac{r}{100})^n\\FV = 175000 (1 - \frac{4}{100})^3\\

FV = Rs 154828.8

8 0
2 years ago
Find an equation of the line described below. Write the equation is slope-intercept from ( solved for y), when possible. Through
Sladkaya [172]

Answer:

The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

Step-by-step explanation:

Given that the line passes through the point (5,4).

As the line is parallel to the x-axis, the slope of the line would be zero.

And we have point (5,4) from which the line is passing.

So, x_1=5\  ,\ y_1=4\ and\ m=0

The equation of the line passing through point (x_1,y_1) is

y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

4 0
4 years ago
Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).
bija089 [108]

<em>Note: Since you missed to mention the the expression of the function </em>p(x)<em> . After a little research, I was able to find the complete question. So, I am assuming the expression as </em>p(x)=x^4-9x^2-4x+12<em> and will solve the question based on this assumption expression of  </em>p(x)<em>, which anyways would solve your query.</em>

Answer:

As

p\left(-2\right)=0

Therefore, x=-2 is a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12

As

p\left(2\right)=-16

Therefore, x=2 is not a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12

Step-by-step explanation:

As we know that for any polynomial let say<em> </em>p(x)<em>, </em>c is the root of the polynomial if p(c)=0.

In order to find which of the given values will be a root of the polynomial, p(x)=x^4-9x^2-4x+12<em>, </em>we must have to evaluate <em> </em>p(x)<em> </em>for each of these values to determine if the output of the function gets zero.

So,

Solving for p\left(-2\right)

<em> </em>p(x)=x^4-9x^2-4x+12

p\left(-2\right)=\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12

\mathrm{Simplify\:}\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12:\quad 0

\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12

\mathrm{Apply\:rule}\:-\left(-a\right)=a

=\left(-2\right)^4-9\left(-2\right)^2+4\cdot \:2+12

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}

=2^4-2^2\cdot \:9+8+12

=2^4+20-2^2\cdot \:9

=16+20-36

=0

Thus,

p\left(-2\right)=0

Therefore, x=-2 is a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12<em>.</em>

Now, solving for p\left(2\right)

<em> </em>p(x)=x^4-9x^2-4x+12

p\left(2\right)=\left(2\right)^4-9\left(2\right)^2-4\left(2\right)+12

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

p\left(2\right)=2^4-9\cdot \:2^2-4\cdot \:2+12

p\left(2\right)=2^4-2^2\cdot \:9-8+12

p\left(2\right)=2^4+4-2^2\cdot \:9

p\left(2\right)=16+4-36

p\left(2\right)=-16

Thus,

p\left(2\right)=-16

Therefore, x=2 is not a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12<em>.</em>

Keywords: polynomial, root

Learn more about polynomial and root from brainly.com/question/8777476

#learnwithBrainly

7 0
3 years ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor. 44h-33=
Flauer [41]

Answer:

11(4h-3)

Step-by-step explanation:

The greatest known common factor of 44h and 33 is 11. So using the distributive property, I got 11(4h-3)

8 0
4 years ago
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