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defon
3 years ago
9

Yelania and Audrey are playing the Integer game. Below art the two cards they selected. Remember, in the integer game, the numbe

rs on their cards are added to find the sum.
How do the models for these two addition problems differ on a number line?
How are they the same?
They are different: ________________.
They are the same: _______________.

Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

The models are different.

Step-by-step explanation:

Yelania and Audrey took two cards which are 4,-6 and 4,6 respectively.

They do not lie on the same points as the sum of Yelania's cards=4-6=-2 and the sum of Audrey's cards=4+6=10.

Both -2 and 10 lie differently on the number line.

Therefore, the models are different from each other.

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Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16
Nostrana [21]

Answer:

x=3, y=0.8

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5 0
3 years ago
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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>

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