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devlian [24]
3 years ago
11

Solve for x.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer:

A. x = 1 1/2

Step-by-step explanation:

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Find all solutions in the interval [0, 2π). (sin x)(cos x) = 0
Deffense [45]
\bf sin(x)cos(x)=0\implies 
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sin(x)=0\\
\measuredangle x=sin^{-1}(0)\\
\measuredangle x=0\ ,\ \pi \\
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cos(x)=0\\
\measuredangle x=cos^{-1}(0)\\
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3 0
3 years ago
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Use quadratic regression to find
vovangra [49]

Answer:

y = 6x² -13x -5

Step-by-step explanation:

(1,-12) (2,-7) (5,80)

y = ax² + bx + c

-12 = a*1² + b*1 + c = a+b+c    (1)

-7 = 4a + 2b + c    (2)

80 = 25a + 5b + c   (3)

(2)-(1): 3a + b = 5    (4)

(3)-(2): 21a + 3b = 87   (5)

(4)*3:     9a + 3b = 15    (6)

(5)-(6):  12a = 72      a = 6

(4)                             b = -13

(2)                             c = -5

4 0
3 years ago
Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

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which makes our factorization:

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3 years ago
How many 4 digit codes are possible if the first digit cannot be 0 and digits can be repeated?
bezimeni [28]

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4 0
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What is the slope of the line represented by the table below?
gayaneshka [121]
9/5

If you choose two points you can find the equation change in y/change in x (y2-y1)/(x2-x1). Using the first two points this looks like:

(49-22)/(25-10)=27/15=9/5
7 0
3 years ago
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