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3 years ago

Use the commutative law of addition to write a equivalent expression ab+c

Mathematics

1 answer:

Scilla [17]3 years ago

5 0

Answer:

c + ab

Step-by-step explanation:

The way an expression is written is the given you have presented to us.

The commutative law of addition would turn it around as

c + ab.

It just means change the order when adding. Not all systems allow this. It matters which way you put it in some systems.

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3 years ago

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Solve the equation : 10 = -4 + x

dybincka [34]

Answer:

14 = x

Step-by-step explanation:

1. 10 = -4 + x

Add 4 to both sides. 10+4 = 14.

That leaves you with 14 = x.

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BRAINLIEST FOR THE CORRECT AWNSER! The slope of the line below is –3. Use the coordinates of the labeled point to find a point-s

allochka39001 [22]

Answer: y+7 = 3(x-5) A

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4 years ago

3. The data set shows the number of practice throws players in a basketball competition made and the number of free throws they

babymother [125]

Answer-

The exponential model best fits the data set.

Solution-

x = input variable = number of practice throws

y = output variable = number of free throws

Using Excel, Linear, Quadratic and Exponential regression model were generated.

The best fit equation and co-efficient of determination R² are as follows,

Linear Regression

$y=2.155x+0.391,\ R^2=0.903$

Quadratic Regression

$y=0.096x^2+0.713x+3.803,\ R^2=0.948$

Exponential Regression

$y=4.625e^{0.141x},\ R^2=0.951$

The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.

Now,

$R^2_{Linear}< R^2_{Quadratic}< R^2_{Exponential}$

Therefore, the Exponential Regression model must be followed.

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4 years ago

A heptagon has unequal sides that are in a pattern. Each side is 2 more than twice the side of the smaller one before it. Write

bixtya [17]

Heptagon has unequal sides and each side is 2 more than twice the side of the smaller one before it.

Heptagon is a 2 dimensional geometric shape that has got 7 sides.

Lets say the length of smallest side is 'x' units.

Length of the second side will be 2 more than twice the smaller side so the side length will be:

$2\times x+2=2x+2$

Now the length of the third side will be 2 more than twice the second side that is:

$2(2 \times x+2)+2=2(2x+2)+2=4x+4+2=4x+6$

Similarly, length of the fourth side will be:

$2(4x+6)+2=8x+12+2=8x+14$

Similarly, length of the fifth side will be:

$2(8x+14)+2=16x+28+2=16x+30$

Again, length of the sixth side will be

$2(16x+30)+2=32x+60+2=32x+62$

And the length of the seventh side will be

$2(32x+62)+2=64x+124+2=64x+126$

Now, perimeter of any geometric shape is the sum of the lengths of the sides:

Adding all the sides we get:

$x+(2x+2)+(4x+6)+(8x+14)+(16x+30)+(32x+62)+(64x+126)$

$=x+2x+2+4x+6+8x+14+16x+30+32x+62+64x+126$

$=127x+240$

Therefore, the expression for the perimeter of the required heptagon is $127x+240$ .

6 0

3 years ago