All categories

2 years ago

What is the vertex f(x)= 5x^2+20x-16

1 answer:

3 0

F(x) = 5x² + 20x - 16

y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)

perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4

y + 16 + 4 = 5(x² + 4x + 4)
y + 20 = 5(x+2)²

(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4

y = 5(x+2)² - 20

You might be interested in

Solve:<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bzz%7D%7B4%7D%20%20%2B%205%20%5Cgeqslant%205.5" id="TexFormula1" title="

allochka39001 [22]

$\bf \cfrac{zz}{4} + 5\geqslant 5.5\implies \stackrel{\textit{subtracting 5 from both sides}}{\cfrac{zz}{4}\geqslant 0.5}\implies \stackrel{\textit{multiplying both sides by 4}}{zz \geqslant 2}$

7 0

3 years ago

Based on the table, which best predicts the end behavior of the graph of f(x)?

Yuki888 [10]

Answer: A. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

6 0

3 years ago

Read 2 more answers

PLEASE HELP I DONT KNOW

azamat

Answer:

48.56 cm

Step-by-step explanation:

The rectangle: 10+10+8+8

= 36cm

The half circle: 1/2 πd

=1/2x3.14X8

= 12.56

So, the total perimeter will be- 36+12.56

=48.56

Mark me brainliest plss :)) I worked hard for the ans

5 0

3 years ago

Read 2 more answers

Define the type of sequence below.<br> -2, 0, 2, 4, 6,

mihalych1998 [28]

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.

We can see from our given sequence that each next term is 2 more than the previous term of the sequence.

$0--2=0+2=2$

$2-0=2$

$6-4=2$

Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.

3 0

3 years ago

Read 2 more answers

Does anyone know this?

madam [21]

Answer:

B. the two triangles are congruent because of SSS postulate

8 0

3 years ago