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Ipatiy [6.2K]
3 years ago
13

A function f is defined by f:x=3-2sinx for 0

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
       f(x) = 3 - 2sin(x)
          0 = 3 - 2sin(x)
        - 3  - 3
         -3 = -2sin(x)
         -2        -2
        1¹/₂ = sin(x)
sin⁻¹(1¹/₂) = sin⁻¹[sin(x)]
sin⁻¹(1¹/₂) = x
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Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

7 0
3 years ago
PLEASE HELP
ruslelena [56]

Answer:

Rosaria purchased 50 bracelets and 70 necklaces

Step-by-step explanation:

Let the number of bracelets be b and the number of necklaces be n

b + n = 120 •••••(i)

Secondly;

10b + 11n = 1270 ••••(ii)

Total cost of b bracelets at 10 per 1 is 10b

Total cost of n bracelets at 11 per 1 is 11n

Adding both gives 1270

From i, b = 120-n

Substitute this into ii

10(120-n) + 11n = 1270

1200 - 10n + 11n = 1270

n = 1270-1200

n = 70

b = 120-n

b = 120-70

b = 50

4 0
3 years ago
DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the
user100 [1]

Answer:

Fraction of fire trucks = \frac{1}{4}

Total number of toy cars = 16

Step-by-step explanation:

Fraction of sports car = \frac{2}{3}

Fraction of remaining cars =1-\frac{2}{3}=\frac{3-2}{3} =\frac{1}{3}

So,

Fraction of pick up cars = \frac{1}{4}(\frac{1}{3})=\frac{1}{12}

Therefore,

Fraction of fire trucks = \frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}

That is Number of fire trucks = \frac{1}{4} ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars = 4(4)=16

3 0
3 years ago
Select the equations that are correct.mark all that apply.
allsm [11]

Answer:

17,550÷65=270  Correct

11,196÷12=933  Correct

11,712÷96=122 Correct

Step-by-step explanation:

17,550÷65=270  Correct

11,196÷12=933  Correct

29,365÷35=677  Incorrect

11,712÷96=122 Correct

4 0
3 years ago
The gift-wrapping service in one store offers a choice of red or white ribbon with a choice of red, white, green, or blue paper.
nata0808 [166]

IT IS D

Step-by-step explanation:

5 0
3 years ago
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