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VARVARA [1.3K]
3 years ago
13

I need helpp plsss:)

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer:

*read explanation for both questions*

Step-by-step explanation:

So the first one asks <em>”the first number in a pattern is 6, the pattern follows the rule ’</em><em>multiply by 4’ </em><em>“</em>

The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.

That’s the pattern fo the first one

The second one asks <em>“The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”</em>

<em />

When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.

You might be interested in
Y=x^2-12x+45 vertex form and coordinate vertex
zysi [14]
Best Answer

<span><span> x2-12x-45=0</span> </span>Two solutions were found :<span> x = 15 x = -3</span>

Step by step solution :<span>Step  1  :</span>Skip Ad
Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-12x-45</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -12x </span> its coefficient is <span> -12 </span>.
The last term, "the constant", is <span> -45 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -45 = -45</span> 

Step-2 : Find two factors of  -45  whose sum equals the coefficient of the middle term, which is  <span> -12 </span>.

<span><span>     -45   +   1   =   -44</span><span>     -15   +   3   =   -12   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  3 
                     <span>x2 - 15x</span> + 3x - 45

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-15)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-15)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-15)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x + 3) • (x - 15) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x+3 = 0<span> 

 </span>Subtract  3  from both sides of the equation :<span> 
 </span>                     x = -3 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-15 = 0<span> 

 </span>Add  15  to both sides of the equation :<span> 
 </span>                     x = 15 

Supplement : Solving Quadratic Equation Directly<span>Solving <span> x2-12x-45</span>  = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

<span> 3.1 </span>     Find the Vertex of   <span>y = x2-12x-45

</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) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).<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  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>the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000 <span> 

 </span>Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :<span> 
 </span><span> y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 - 45.0 
</span>or   y = -81.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = x2-12x-45</span>
Axis of Symmetry (dashed)  {x}={ 6.00} 
Vertex at  {x,y} = { 6.00,-81.00}  
 x -Intercepts (Roots) :
Root 1 at  {x,y} = {-3.00, 0.00} 
Root 2 at<span>  {x,y} = {15.00, 0.00}</span>

3 0
3 years ago
1. How much greater is -20x^2+5x+17 than -19x^2+20x+18
ehidna [41]

Answer:

1. -x²-15x-1

2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32

Step-by-step explanation:

-20x^2+5x+17 - (-19x^2+20x+18)

-20x² + 19x² + 5x - 20x + 17 - 18

-x² - 15x - 1

-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)

-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17

-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32

8 0
3 years ago
Read 2 more answers
55% as a fraction in simplest form.
nirvana33 [79]
Answer: 11/20
55/100 simplified is 11/20
3 0
3 years ago
Find the 55th term in the following<br> arithmetic sequence :<br> -102, -98, -94, -90, ...
Harman [31]

Answer: It’s...

Step-by-step explanation: All of these numbers are going backwards by -4. Just keep subtracting. But then again, it will take you ages. So... try multiplying 51 by -4. Then -86 - whatever total you got. I have no clue if this will help. Is this even an assignment for you or a trick question?

4 0
3 years ago
The sum of the quotient of a number and and 3 and 8 is 16 what is the number
zhuklara [117]
After having done this on paper:

\frac{n}{3} + 8 = 16

We want to isolate the variable, and the first step is to subtract the 8.

\frac{n}{3} = 8

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.

<em>n</em> = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for <em>n</em>.
5 0
3 years ago
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