2 years ago

Solve the system of equations graphically. Y= - (x-2)^2+1. Y= X-1

Mathematics

1 answer:

My name is Ann [436]2 years ago

7 0

Answer:

(1,0) & (2,1)

Step-by-step explanation:

substitute x-1 for y in the first equation then solve using the PEMDAS and traditional rules

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Subtract the given function and indicate the domain of the difference

maxonik [38]

Answer:

The domain is $x\in (-\infty,\infty).$

Step-by-step explanation:

Given functions $f(x)=x^2+3x+1$ and $g(x)=2x^2-4x-1$

Subtract these two functions:

$f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2$

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is $x\in (-\infty,\infty).$

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2 years ago

Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside.

Anit [1.1K]

40s+2bs+200=number of books needed

if we want 12 books and 8 stalls

b=12
s=8
solve

40(8)+2(12)(8)+200=
320+192+200=
712

needs 712 books

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2 years ago

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A rectangle is formed by two congruent right triangles. The area of each triangle is 6 in2. If each side of the rectangle is a w

viktelen [127]

Area of the rectangle is 2*6=12 in^2
12 could be = 1*12 or 2*6 or 3*4
P could be 2*(1+12)=2*13=26
2*(2+6)=2*8=16
2*(3+4)=2*7=14

the answer is 24 in (c)

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2 years ago

defon

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2 years ago

HELP ME OUT PLEASE!!!!!!!!!!!!!!!!!!

galben [10]

∠LKH corresponds to ∠FGK, as it is the angle on the line that crosses the parallel lines (an F angle).
Therefore, ∠LKH=25°

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2 years ago