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amm1812
2 years ago
12

100x^2-9 factored completely

Mathematics
1 answer:
Ne4ueva [31]2 years ago
7 0

Answer:

Step-by-step explanation:

this is the difference of two squares,  which there is a formula for

(a+b)(a-b)  

100x^{2}-9

rewrite into squares

(10x)^{2} - 3^{2}

then a = 10x

and b = 3

(10x + 3 )(10x - 3 )

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What inequality describes the weight range of a single nickel
Evgen [1.6K]

Answer:

4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.

Step-by-step explanation:

The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier.  Well what value is .194 lighter and .194 heavier?  4.806 and 5.194 respectively.  So that means a nickle can be anywhere in that range, which tells us the inequality.

5 0
3 years ago
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
Anyone know the answer to this question??
Tpy6a [65]

Tom will get £166
Ben will get £581
4 0
3 years ago
PLS HELP DO ALL PROBLEMS 100 PTS
padilas [110]

Answer

4. - x ^ 2 + 13x - 42 <= 0524211r

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3 0
2 years ago
Can somebody help me ?
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Basically find the slope first.

(6,1)(9,5)

5-1/9-6

m=4/3

y=mx+b

1=4/3(6)+b

b=-7

y=4/3x-7

4 0
2 years ago
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