The table shows some inputs and outputs of the invertible function of f with domain and all real numbers.

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

The answer would be 0

You might be interested in

Please please please please please help me <br> i will give brainliest

alukav5142 [94]

2x^2 - 4 = 68
add 4 to both sides
2x^2 = 72
divide both sides by 2
x^2 = 36
find the square root of each sides
x = 6, -6

ANSWER: the positive value of x is 6

7 0

3 years ago

I need to know the answer

Elena L [17]

9514 1404 393

Answer:

D. 105 ft²

Step-by-step explanation:

The total surface area is the sum of the base area and the triangular face areas.

Area of base:

A = s²

A = (7 ft)² = 49 ft²

Area of 4 triangles:

A = 4(1/2)bh

A = 2(7 ft)(4 ft) = 56 ft²

Total surface area:

base area + triangle area = 49 ft² +56 ft² = 105 ft²

4 0

3 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers: