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2 years ago

9

Find the difference of

1 answer:

Colt1911 [192]2 years ago

4 0

Answer:

${x}^{2} - x + 1$

Step-by-step explanation:

subtract the functions as follows:

s(x) - r(x) = (2x+1) - (-x2 +3x)

expand the 2nd bracket by multiplying it by the negative 1 outside

= 2x + 1 + x2 - 3x

= x2 - x + 1

Voila!

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Solve the system of linear operations

zhenek [66]

Answer:

$\boxed{(-2,1)}$

Step-by-step explanation:

$\left \{ {{5x+2y=-8} \atop {x+4y=2}} \right.$

I'll be solving this system of equations using the elimination method since the x and y values are neatly lined up.

I want to get a pair of x's or y's that cancel out, and it looks like the easiest way to start would be by multiplying the first equation by -2 (the y's will cancel).

I chose to multiply the first equation by -2 instead of multiplying the second equation by 5 because -2 is a smaller number and easier to multiply by.

$-2\times(5x+2y=-8)$

Distribute -2 inside the parentheses. Now you've got:

$\left \{ {{-10x-4y=16} \atop {x+4y=2}} \right.$

Add up the equations from top to bottom.

-10x plus x is -9x, the -4y and 4y cancel out, and 16 plus 2 is 18. Make this one single equation.

$-9x=18$

Divide both sides by -9.

$x=-2$

Substitute this value of x into the second equation (less to do with the x since it has no coefficient which means no multiplying).

$(-2)+4y=2$

Add 2 to both sides.

$4y=4$

Divide both sides by 4.

$y=1$

The final answer is $x=-2, ~y=1$ .

7 0

3 years ago

Find the Vertex (h, x) using this formula

svlad2 [7]

Answer:

The correct option is C.

Step-by-step explanation:

If a parabola is defined as

$f(x)=ax^2+bx+c$ .... (1)

then the vertex of the parabola is

$Vertex=(-\frac{b}{2a},f(-\frac{b}{2a}))$

The given function is

$f(x)=-2x^2+4x-7$ .... (2)

From (1) and (2) it is clear that

$a=-2,b=4,c=7$

$h=-\frac{b}{2a}$

Substitute a=-2 and b=4 in the above equation.

$h=-\frac{4}{2(-2)}=-\frac{4}{-4}=1$

The value of h is 1.

substitute h=1 in function (2).

$f(1)=-2(1)^2+4(1)-7=-5$

The vertex of the function is (1,-5). Therefore the correct option is C.

8 0

4 years ago

dmitriy555 [2]

Answer:

poloygons with right angles

Step-by-step explanation:

7 0

3 years ago

Herbert has 30 total movies. 18 of them are adventure. What percent of his movies are adventure movies

Papessa [141]

Answer:

60%

Step-by-step explanation:

18 out of 30 movies are adventure so we can vizualize this as

18/30 this giving us the decimal 0.60

Now to convert from a decimal to a percent just multiply by 100 or move the decimal to the right 2 decimal point.

0.60 x 100 = 60%

6 0

3 years ago

Read 2 more answers

Plz help me quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ANEK [815]

Answer: 135

Step-by-step explanation:

3 0

4 years ago