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3 years ago

Which is the graph of f(x) = (x - 1)(x + 4)?

Mathematics

2 answers:

Anni [7]3 years ago

8 0

Answer:

Its the last option. On the bottom.

Step-by-step explanation:

You need to Solve for x to find the zeroes of the equation.

x-1=0 So one x is at 1.

x+4=0 So the other x is at -4.

This graph is also not negative so it does not get flipped across the x-axis

timama [110]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = (x - 1)(x + 4)

x²+3x-4

a is positive , so the parabola upward

vertex=(-3/2,-25/4)

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Look at this particle model, what state of matter does it represent? *

Ostrovityanka [42]

Answer:

Solid

Step-by-step explanation:

All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.

3 0

3 years ago

Are the functions f,g, and h given below linearly independent?

CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

- We are given three functions as follows:

$f ( x ) = e^4^x\\\\g ( x ) = xe^4^x\\\\h( x ) = x^2e^4^x$

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

$c_1*f(x) + c_2*g(x) + c_3*h(x) = 0$

Where,

c1 , c2 , c3 are all zeroes then for all values of (x),

- The system of function is said to be linearly independent

- We will express are system of equations as such:

$c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\$

- To express our system of linear equations we will choose three arbitrary values of ( x ). We will choose, x = 0. then we have:

$c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0$

- Next choose x = 1:

$c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0$

- Next choose x = 2:

$2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0$

- Solve the last two equations simultaneously we have:

$c_1 = c_2 = c_3 = 0$ .... ( Only trivial solution exist )

Answer: The functions are linearly independent

- The only zero exist is x = 0.

5 0

3 years ago

Choose the correct answer. If one balloon is larger than another, it has a greater _________________.

arsen [322]

C. Volume.
The balloon with the larger volume of air will be biger than the balloon with less volume

6 0

3 years ago

Read 2 more answers

Please help me out!

seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

$f(x) =(x-1)(x+7)$

Use the distributive property to multiply the expression

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

$f(x) =x^2+6x-7$

For a function of the form $f (x) = ax ^ 2 + bx + c$ the x coordinate of the vertex is:

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

Then in this case the coordinate of the vertex is:

$x =-\frac{6}{2(1)}$

$x =-3$

To obtain the y coordinate of the vertex we evaluate the function at $x = -3$

$f(-3) =(-3)^2+6(-3)-7$

$f(-3) =9-18-7$

$f(-3) =-16$

Then the vertex is: (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for $x$ and $x> 1$

The correct answers are:

Second option

Third option

Fourth option

7 0

3 years ago

A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per sq

dsp73

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs $\$ 60$ per square yards

White tile costs $\$40$ per square yards

Total money spent= $\$480$ on tiles

Suppose red tiles cover an area of $x$ square yards

So, we can write

$60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}$

Red tiles cover an area of 40 square yards

6 0

3 years ago