Help me once more cause im in trouble

Mathematics

1 answer:

Sedaia [141]3 years ago

8 0

Answer: 36

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Explanation:

There are 35 girls and 50 boys. Making 35+50 = 85 students total.

Of the 85 students, 42% (see column 1, bottom row) bought their lunch from the cafeteria. So 0.42*85 = 35.7 which rounds to 36

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Enter the coordinates of the vertex of the function f(x) = x2 + 4x - 7

elixir [45]

Given the equation of the function:

$f(x)=x^2+4x-7$

The given function represents a parabola

We will make a complete square to find the coordinates of the vertex

The coefficient of x = 4

Half the coefficient of x = 2

Square it give = 4

So, we will add and subtract 4

$\begin{gathered} f(x)=x^2+4x+4-4-7 \\ f(x)=(x^2+4x+4)-11 \\ f(x)=(x+2)^2-11 \end{gathered}$

Compare the last equation with the vertex form of the parabola

$f(x)=(x-h)^2+k$

So, h = -2, k = -11

So, the answer will be the coordinates of the vertex = (-2, -11)

6 0

1 year ago

Simplify the polynomial expression given below.<br><br> (2x − 1)(2x2 + 5x + 3) + (3x + 6)

fenix001 [56]

Answer:

$4x^{3}+8x^{2} +4x+3$

Step-by-step explanation:

Hello

To simplify the polynomial we must eliminate the parentheses

by definition

$ax^{n}*bx^{m} =abx^{n+m}$

$(2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3$