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Dennis_Churaev [7]
3 years ago
14

Which value of a would make the following expression completely factored?

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

12

Step-by-step explanation:

x^2 - a

If a is a perfect square we could factor

x^2 - b^2 = (x-b)(x+b)

So a cannot be 36,49,81 since they are perfect squares

a must be 12

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Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?
svetlana [45]

Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.

<h3>How to graph a transformed function</h3>

Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.

The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.

To learn more on functions: brainly.com/question/12431044

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5 0
2 years ago
Solve the differential equation by separation of variables<br> x(dy/dx)=4y
weeeeeb [17]
<span>get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>

3 0
3 years ago
What is the area of the figure? A) 18 in2 B) 24 in2 C) 30 in2 D) 36 in2
Annette [7]
Hello!

You need to separate this into two rectangles and add their areas together

first rectangle

3 * 6 = 18

rectangle 2

3 * 2 = 6

18 + 6 = 24

the answer is 24in squared


5 0
3 years ago
Read 2 more answers
find the elasped time from 10:11 to 5:34 pls show your work . A) 5hrs and 37mins , B) 4hrs , C) 5h 23mins , D) 4hr 37mins
Bingel [31]
The question as you wrote it doesn't fit the answers. However, one of the answers fits if you meant
"elapsed time from 5:34 to 10:11".

There are many ways to do this. Try first taking the time from 5:34 to 6:11, and after that finding the time from 6:11 to to 10:11.

In a way, 6:00 is the same thing as 5:60. Add 11 to that and you can see that 6:11 is the same as 5:71. Now that you have an easy way to find the time from 5:34 to 6:11.
6:11 - 5:34 isn't easy.
But 5:71 - 5:34 is quite easy. 71 - 34 is 37.

So, from 5:34 to 6:11 there are 37 minutes.

Now the easy part, finding the time from 6:11 to 10:11. Since the minutes are the same, just subtract the hours. 10 - 6 = 4 hours.

Now you have the hours and minutes, which number 4 hours and 37 minutes.
8 0
3 years ago
Hey can you please help me posted picture of question
aleksandrvk [35]
The correct answer is D. Graph D

Find the Vertex of   <span>y = 3x2+7x+2

</span>Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   <span>We know this even before plotting </span> "y" <span> because the coefficient of the first term,</span> 3 , is positive (greater than zero).<span> 

 </span><span>Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two </span> x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span> 

 </span>Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.<span> 

 </span>For any parabola,<span>Ax2+Bx+C,</span><span>the </span> x <span>-coordinate of the vertex is given by </span> -B/(2A) <span>. In our case the </span> x <span> coordinate is </span> -1.1667 <span> 

 </span><span>Plugging into the parabola formula </span> -1.1667 <span> for </span> x <span> we can calculate the </span> y -coordinate :<span> 
 </span><span> y = 3.0 * -1.17 * -1.17 + 7.0 * -1.17 + 2.0 
</span><span>or </span><span>  y = -2.083
</span>Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = 3x2+7x+2</span>
Axis of Symmetry (dashed)  {x}={-1.17} 
Vertex at  {x,y} = {-1.17,-2.08}  
 x -Intercepts (Roots) :
Root 1 at  {x,y} = {-2.00, 0.00} 
Root 2 at<span>  {x,y} = {-0.33, 0.00} </span>

5 0
3 years ago
Read 2 more answers
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