1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
3 years ago
5

TIMED HURRY PLEASE!!!!!!!! the first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. Write the function in sta

ndard form. f(x) = 5x2 + 40x Factor a out of the first two terms. f(x) = 5(x2 + 8x) Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16) What is the function written in vertex form?
Mathematics
2 answers:
suter [353]3 years ago
7 0

Answer:

Vertex form is <u>f(x) = 5 (x + 4 )²- 80</u>

Step-by-step explanation:

Given function is f(x) = 40x + 5x²

Re-write the function in standard form f(x) =  5x² + 40x

Factor out the first terms f(x) = 5 (x² + 8 x)

Now, form the function to perfect  square trinomial,

Add and subtract '16' in function x² + 8 x to make this perfect square.

So, f(x) =  5 (x² + 8 x + 16 - 16)

f(x) = 5 (x² + 8 x + 16 )- 5 (16)

f(x) = 5 (x + 4 )²- 5 (16)

f(x) = 5 (x + 4 )²- 80

In general vertex form is f(x) = a (x - h )² + k , where (h , k) is vertex.

So, in function f(x) = 5 (x + 4 )²- 80, vertex is ( -4 , -80)

Hence, vertex form is <u>f(x) = 5 (x + 4 )²- 80</u>

bija089 [108]3 years ago
3 0
Y=5(x+4)^2-80 is the vertex form
You might be interested in
Neeeeedd help hurry please
Alona [7]

Answer:

Step-by-step explanation:

Sslsl

6 0
3 years ago
Solve the inequality.<br> |3x+7| &lt;_ 4
n200080 [17]

Answer:

Using ∣x∣>a⇒x<−a or x>a, we get

∣3x−7∣>4⇒3x−7<−4 or 3x−7>4

⇒3x<3 or 3x>11⇒x<1 or x>

3

11

⇒x∈(−∞,1)∪(

3

11

,∞).

3 0
2 years ago
Read 2 more answers
Write the equation of a line with a slope of 3 and a y-intercept of 1.
noname [10]

Take a look at the image below.

6 0
3 years ago
Which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+
elixir [45]

The equation in the form of the given expression is (0)² + (1)² = 1

<h3>Trigonometry identity</h3>

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

Learn more on trig identity here: brainly.com/question/20094605

#SPJ1

8 0
2 years ago
Please help me !!!!!!!!!!!!
Law Incorporation [45]
∠A+∠B=∠ACD
So, ∠A=93-31=62°
I think it mean that, right?
8 0
3 years ago
Other questions:
  • A rectangle has a length of x + 9 and a width of x - 1. Which equation below
    7·1 answer
  • #10 help please I'm so lost
    13·2 answers
  • Pyramid math (algebra 1)
    9·1 answer
  • What is the square root of 51142%
    10·1 answer
  • A sale tax of 6% is added to the price of an item. If Marisa buys an item, which expression indicates how much she will pay in a
    14·2 answers
  • 18h^3 + 45h^2 - 8h - 20
    12·1 answer
  • Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now?
    10·2 answers
  • At the 6th grade school dance, there are 132 boys, 89 girls and 14 adults.
    11·1 answer
  • I need help with this
    6·1 answer
  • The accompanying data represent the daily​ (for example, Monday to​ Tuesday) movement of Johnson​ &amp; Johnson​ (JNJ) stock for
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!