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lana [24]
3 years ago
11

When teaching a lesson on adding and subtracting integers, which two manipulatives can be used to enhance the learning outcomes?

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer: Base Ten Blocks, Number Line, Two Colored Counters

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Please provide an explanation for the last three questions.
zavuch27 [327]
There is no picture attached to the question??
5 0
2 years ago
Read 2 more answers
6. 4x + 2y = 16<br> | 5x - 2y = 38
Zolol [24]

Answer:

1. Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

2.  Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Step-by-step explanation:

1.

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x + 2y - 16  =   2 • (2x + y - 8)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x+y-8  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+y-8  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000

 y-intercept = 8/1  =  8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 8/2  =  4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.000/2.000 = -2.000

Geometric figure: Straight Line

 Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

Processing ends successfully

2.

Step  1  :

Equation of a Straight Line

1.1     Solve   5x-2y-38  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x-2y-38  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 19/-1 so this line "cuts" the y axis at y=-19.00000

 y-intercept = 38/-2 = 19/-1  = -19.00000

Calculate the X-Intercept :

When y = 0 the value of x is 38/5 Our line therefore "cuts" the x axis at x= 7.60000

 x-intercept = 38/5  =  7.60000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -19.000 and for x=2.000, the value of y is -14.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -14.000 - (-19.000) = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  5.000/2.000 =  2.500

Geometric figure: Straight Line

 Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Processing ends successfully

plz mark me as brainliest :)

4 0
3 years ago
Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
3 years ago
Plz help me solve this. and any song requests
LuckyWell [14K]

Answer:

66

Step-by-step explanation:

12(8)-9(8-6)-(12-9)(8)÷2=96-18-12      or   6(9)+(12-9)(8)/2=54+12

                                     = 66                                              =66

3 0
2 years ago
Read 2 more answers
A take-and-bake pizza chain has several
tankabanditka [31]
Answer: 35% off coupon

Explanation:
17.90-5= 12.90

x/17.90=35/100
Cross multiply: 17.90(35)=100x
Simplify: 626.50=100x
Divide by 100: 6.265
Round: 6.27
Subtract: 17.90-6.27=11.63
8 0
3 years ago
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