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Advocard [28]
2 years ago
5

Which of the Following illustrates how to find the difference of 12a ^2b and —5a^2b?

Mathematics
1 answer:
Andrews [41]2 years ago
3 0

Answer:

17a^2b

Step-by-step explanation:

Difference = subtracting

12a ^2b - (-5a^2b)

12a ^2b + 5a^2b

17a^2b

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Resultant Terms in Exponential Form 13^-11 * 13^16 * 13^-3 * 13^4 * 13^-5
Yuki888 [10]
Easy
remember
(x^m)(x^n)=x^(m+n)
basically add exponens when the base is same
(13^-11)(13^16)(13^-3)(13^4)(13^-5)=
13^(-11+16-3+4-5)=
13^(5-4)=
13^1=13
6 0
3 years ago
Which of the following statements is always true?
DiKsa [7]
The answer is D because in an Equilateral triangle all the angles are 60 degrees which is acute
6 0
3 years ago
How do you know that the sum of 7-1g and 7-2 is rational?
user100 [1]

The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.

A rational number is a number which can be written in p/q form where q≠0.

We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.

So in the given question, lets study the term differently that is,

i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.

ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.

So when these two rational numbers are added their sum will also be a rational number which is 11.

Learn more about rational numbers here : brainly.com/question/12088221

#SPJ9

5 0
1 year ago
As you can see, I already answered part A. That part is easy, like kindergarten level. But I don't remember learning how to do p
drek231 [11]

Answer:

Length: 10 units.

Width:6 units

Step-by-step explanation:

Part a has 1 unit =40 yards. When we have 1 unit = 20 yards, we have divided the original numbers, 40, in half, getting 20. That means that we need to double the original amount of units, like you see above.

3 0
3 years ago
Read 2 more answers
PLEASE HELP
SVETLANKA909090 [29]

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

6 0
3 years ago
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