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
attashe74 [19]
2 years ago
13

Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect sq

uare trinomial. Write the trinomial as a binomial squared. G(x) = 4x2 40x g(x) = 4(x2 10x) (ten-halves) squared = 25 g(x) = 4(x2 10x 25) – 4(25) g(x) = (x )2 –.
Mathematics
2 answers:
Murljashka [212]2 years ago
5 0

Answer:

g(x)=4(x+5)^2-100

Step-by-step explanation:

Have the day you deserve :)

Furkat [3]2 years ago
3 0

The specified function's vertex form is g(x) = 4(x+5)^2 - 100

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

<h3>What is a perfect square polynomial?</h3>

If a polynomial p(x) can be written as:

p(x) = [f(x)]^2

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

g(x)  = 40x + 4x^2

  • Case 1: Converting to vertex form

g(x)  = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\

Thus, the vertex form of the considered polynomial is g(x) = 4(x+5)^2 - 100

  • Case 2: Converting to standard form

Standard form of a quadratic polynomial is ax^2 + bx + c

Thus, we get: the considered polynomial in standard form as:

g(x) = 4x^2 +40x

  • Case 3: Factoring the first two terms of polynomial

g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)

  • Case 4: Forming a perfect square trinomial

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is g(x) = 4(x+5)^2 - 100

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

You might be interested in
What's bigger 80% or 1/8?
Kobotan [32]
An easy way to solve this is to convert 1/8 into a percentage then see from that point.

To turn 1/8 into a percentage, you must first get the decimal form of the fraction. In this case, 1/8 as a decimal is 0.125.

Now that we have the decimal form, we can divide the decimal over 100 (common numerical number to use when dividing) to get the percentage, which should be 12.5%.

Now, our new question is 'what's bigger, 80% or 12.5%?'

The answer is 80%, since it is larger than 12.5%.
4 0
3 years ago
Read 2 more answers
How do u work this problem out
charle [14.2K]
Okay what problem is it that you need help with??
4 0
3 years ago
Write an equation to represent m varies inversely as the square of q ?​
kolezko [41]

Answer:

m = \frac{k}{q^2}

Step-by-step explanation:

Given m varies inversely as q² then the equation relating them is

m = \frac{k}{q^2} ← k is the constant of variation

4 0
3 years ago
Circular flower bed is 17 m in diameter and has a circular 2 around it is that to meters wide find the area of the sidewalk in s
nata0808 [166]

Answer:

Step-by-step explanation:

The area of a circle split you diameter which  is 8.5 then you square it equals 72.25 then you times it 3.14 =226.865 I think

8 0
3 years ago
Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0
3 years ago
Other questions:
  • The average distance from the sun to venus is 67,237,910 miles. The average distance from the sun to earth is 92,955,807 miles.
    7·1 answer
  • If the points(1,2),(2,6),and (3,y) are on line L, then y = <br> A)6 <br> B)8<br> C)10<br> D)12
    9·1 answer
  • Relationship A has a greater rate than Relationship B. These numbers represent Relationship B. Hours worked: ( 2 ) ( 4 ) ( 5 ) 
    13·1 answer
  • Which values of c will cause the quadratic equation -- x2 + 3x + c = 0 to have no real number solutions? Check all that
    6·1 answer
  • A partial sum of an arithmetic sequence is given. Find the sum.
    5·1 answer
  • Why is x=6 a solution to the proportion 192/36=32/x​
    7·1 answer
  • What will turn 15 into 37.5 or 3.75
    15·1 answer
  • Question on the picture:
    15·1 answer
  • What 2/5×3/7 but, once you get an answer make sure you simplified​
    15·1 answer
  • Find an equation of the line described. Write the equation in slope-intercept form when possible.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!