Help me make math it is so hard

jasenka [17]

Answer:

2.The set of all values for output of a function. 4.The values for the dependent variable. And 6.The set of all y values.

Step-by-step explanation:

Domain is the input of the function and is also the independent variable, as for the range is the output and dependent variable. Given a function f , the set x values (inputs) is the domain of f , and the set y values ( outputs ) is the range of f . The domain of a function f is all of the values for which the function is defined. For instance, 1x is not defined when x=0 . Also, √x is not defined when x is negative.

(I’m also just learning this so I apologize if I am incorrect. I try my best.)

3 0

3 years ago

The price of product A as a function of time is given by the function f(t). Similarly, the function g(t) represents the price of

jok3333 [9.3K]

Answer:

Step-by-step explanation:

Recall that a function f is concave up if it's second derivative is positive and it is concave down if it's second derivative is negative. Recall that the second derivative tell us how the first derivative is behaving. Thus, if the second derivative is positive, then the first derivative is increasing as the time passes. If the second derivative is negative, that means that the first derivative is decreasing as the time passes.

Consider the product A with a price function that is concave up. This means that the first derivative is constantly increasing. This means, that if the price of the product A is decreasing, it will decrease less and less until it starts to increase. If on the contrary the price is already increasing, it will keep on increasing at a higher rate.

Consider the product B with a price function that is concave down. This means that the first derivative is constantly decreasing. So, if the price is increasing, it will increase less and less until it starts decreasing, or if it is already decreasing it will keep decreasing at a higher rate

8 0

3 years ago

Describe how to determine if two polygons have the same size and shape.

QveST [7]

You can identify similar polygon by comparing their corresponding angles and sides. ( if they are the same the ratio of the lengths is the scale factor. Also check if their sides are proportional.)

4 0

4 years ago

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Maths functions <br> please help!

Vlad [161]

Answer:

$\textsf{1)} \quad f(x)=-x+3$

2) A = (3, 0) and C = (-3, 0)

$\textsf{3)} \quad g(x)=x^2-9$

4) AC = 6 units and OB = 9 units

Step-by-step explanation:

Given functions:

$\begin{cases}f(x)=mx+c\\g(x)=ax^2+b \end{cases}$

Given points:

H = (-1, 4)
T = (4, -1)

As points H and T lie on f(x), substitute the two points into the function to create two equations:

$\textsf{Equation 1}: \quad f(-1)=m(-1)+c=4 \implies -m+c=4$

$\textsf{Equation 2}: \quad f(4)=m(4)+c=-1 \implies 4m+c=-1$

Subtract the first equation from the second to eliminate c:

$\begin{array}{r l} 4m+c & = -1\\- \quad -m+c & = \phantom{))}4\\\cline{1-2}5m \phantom{))))}}& = -5}\end{aligned}$

Therefore m = -1.

Substitute the found value of m and one of the points into the function and solve for c:

$\implies f(4)=-1(4)+c=-1$

$\implies c=-1-(-4)=3$

Therefore the equation for function f(x) is:

$f(x)=-x+3$

Function f(x) crosses the x-axis at point A. Therefore, f(x) = 0 at point A.

To find the x-value of point A, set f(x) to zero and solve for x:

$\implies f(x)=0$

$\implies -x+3=0$

$\implies x=3$

Therefore, A = (3, 0).

As g(x) = ax² + b, its axis of symmetry is x = 0.

A parabola's axis of symmetry is the midpoint of its x-intercepts.

Therefore, if A = (3, 0) then C = (-3, 0).

Points on function g(x):

A = (3, 0)
G = (1, -8)

Substitute the points into the given function g(x) to create two equations:

$\textsf{Equation 1}: \quad g(3)=a(3)^2+b=0 \implies 9a+b=0$

$\textsf{Equation 2}: \quad g(1)=a(1)^2+b=-8 \implies a+b=-8$

Subtract the second equation from the first to eliminate b:

$\begin{array}{r l} 9a+b & = \phantom{))}0\\- \quad a+b & =-8\\\cline{1-2}8a \phantom{))))}}& = \phantom{))}8}\end{aligned}$

Therefore a = 1.

Substitute the found value of a and one of the points into the function and solve for b:

$\implies g(3)=1(3^2)+b=0$

$\implies 9+b=0\implies b=-9$

Therefore the equation for function g(x) is:

$g(x)=x^2-9$

The length AC is the difference between the x-values of points A and C.

$\implies x_A-x_C=3-(-3)=6$

Point B is the y-intercept of g(x), so when x = 0:

$\implies g(0)=(0)^2-9=-9$

Therefore, B = (0, -9).

The length OB is the difference between the y-values of the origin and point B.

$\implies y_O-y_B=0-(-9)=9$

Therefore, AC = 6 units and OB = 9 units

3 0

2 years ago

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Help please like desperately in need of help

Rus_ich [418]

Answer: 8x^2+2x+3 where ^2 means the 2 is an exponent.

7 0

2 years ago

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