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blondinia [14]
2 years ago
9

What are the solutions to the equation?

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

Answer:

x = -2 and 1

Step-by-step explanation:

Given :

f(x) = x+2

g(x) = -x²+4

The solution to the equation f(x) = g(x)

=> x+2 = -x²+4

=> x²+x = 4-2

=> x²+x -2 = 0

By factorisation

=> x²+2x-x -2 = 0

=> x(x+2) -1(x+2)

=> (x+2) (x-1)

x = -2 and 1

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3 years ago
What is the domain of the function shown in the graph below?
cricket20 [7]

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

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The use of square brackets in interval notation says "include this endpoint as part of the interval".

6 0
3 years ago
Read 2 more answers
Question is 15 points
Blababa [14]

sin(x+y)=sin(x)cos(y)-cos(x)sin(y)

also, remember pythagorean rule, sin^2(x)+cos^2(x)=1

given that sin(Θ)=4/5 and cos(x)=-5/13

find sin(x) and cos(Θ)


sin(x)

cos(x)=-5/13

using pythagorean identity

(sin(x))^2+(-5/13)^2=1

sin(x)=+/- 12/13

in the 2nd quadrant, sin is positve so sin(x)=12/13


cos(Θ)

sin(Θ)=4/5

using pythagrean identity

(4/5)^2+(cos(Θ))^2=1

cos(Θ)=+/-3/5

in 1st quadrant, cos is positive

cos(Θ)=3/5


so sin(Θ+x)=sin(Θ)cos(x)+cos(Θ)sin(x)

sin(Θ+x)=(4/5)(-5/13)+(3/5)(12/13)

sin(Θ+x)=16/65



answer is 1st option

7 0
3 years ago
Please HELP ASAP thank you in advanced.....will give brianlest to best answer
11Alexandr11 [23.1K]

1st option, 2nd, 4th and 5th

5 0
3 years ago
36 моля колкото по бързо може формулата е (X÷2)÷(x×3)=305,4
bazaltina [42]

Answer:

Step-by-step explanation:

The quotient of two numbers is 305.4. Find the quotient if the divisor decreases 2 times and the divisor increases 3 times

x/y = 305.4

3x/(y/2) = 6x/y = 6*305.4 = 1832.4

Note that the question will be deleted soon because it is posted in a language other than English.

Обратите внимание, что вопрос будет удален в ближайшее время, потому что он размещен на языке, отличном от английского.

6 0
3 years ago
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