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2 years ago

Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)

Mathematics

1 answer:

bearhunter [10]2 years ago

3 0

i did this last year lol ;-;

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PLEASEEE HELP MEEEE<br><br>NO LINKSSS

Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

2 years ago

Which is the value of this expression when m=3 and n=-5? (6m^-1 n^0)^-3

iragen [17]

Answer:

The answer is C.

Step-by-step explanation:

I would simplify the expression first.

Equation: (6m^-1)^-3

You can get rid of n^0 because that equals 1.

Any expression raised to the power of -1 equals its reciprocal.

Equation: (6/m)^-3

Equation: (m/6)^3

Final Equation: m^3/216

Now, plug in 3.

(3)^3/216.

27/216 = 1/8

Hope this helps!

6 0

2 years ago

It would help a lot, and if able, please explain

Ksju [112]

Let one side of the square be x
all sides of the square are equal
A=x•x(area formula of a square)
240.25 = x^2
so then the lengths of the sides of the square is 15.5 in

3 0

3 years ago

Read 2 more answers

At the Museum of Modern Art , 5 students share 4 subs.

Degger [83]

Answer:

1.25 of a sandwich

Step-by-step explanation:

5/4=1.25

I'm not sure if you have to round it or not, but I think this would be exact!

Hope this helps!

7 0

3 years ago

The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is

Lesechka [4]

9514 1404 393

Answer:

increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0

2 years ago