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AnnyKZ [126]
3 years ago
11

Factorise the following: (4x−15)2−(x+12)2

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

2x+9

Step-by-step explanation:

(4x-15)-(2x-24)

4x - 2x - 15 - -24

4x - 2x - 15 + 24

2x - 15 + 24

2x + 9

2x+9

GarryVolchara [31]3 years ago
8 0
There is the answer

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After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
xeze [42]

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

\frac{5}{150}=\frac{x}{60}

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

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Switching my phone plans from T-Mobile to Verizon will
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Write number in two other forms 40,000+1,000+300+70+8
tankabanditka [31]
1.) 35,000+6,000+65+13
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8 0
3 years ago
What is the value of 9 - [42 - (3 + 2)].
Vlada [557]

9 - [42 - (3 + 2)]

Parentheses first:

9-[42-5]

Brackets next:

9- 37

Now subtract to get -28

8 0
3 years ago
15 Points!<br> Find the range of the functions:<br><br> f(x) = (x + 1)^2 - 1<br><br> f(x) = 7x - 11
MakcuM [25]

In both cases you may well benefit from graphing the functions.

Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).


Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.

Thus the range includes all real numbers: (-infinity, infinity).

4 0
3 years ago
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