Complete the function for this graph.

Solve the following quadratic by factoring.

Lina20 [59]

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

5 0

3 years ago

$44 in 4 days or $____ per day

velikii [3]

Answer:

$11/ day

Step-by-step explanation:

$44 /4 days

Divide the top and bottom by 4

44/4 = 11

$11/ day

5 0

3 years ago

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Help pls, math due tonight :(

Olenka [21]

9514 1404 393

Answer:

40 ft
t = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

h(t) = -16(t^2 -2t) +24

h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

(h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

8 0

2 years ago

HELP MEEE!!! PLEASE!!!

lakkis [162]

Easy multiply the first number and do keep change flip

3 0

3 years ago

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What is the coefficient of the y-term in the expression 4x+5xy–2y

maks197457 [2]

The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.

A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.

In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.

Hope this helps!

3 0

2 years ago

Read 2 more answers