answer.
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
masya89
2 months ago
10

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in s

tandard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27
Mathematics
2 answers:
lawyer [12.5K]2 months ago
7 0

To determine the vertex form of the given parabola y=a(x-x_0)^2+y_0 nearly in standard form y=ax^2+bx+c,the following steps need to be observed:

1. Convert the function into standard form:

y=3x^2+18x.

2. Factor out the coefficient from the first two terms:

y=3(x^2+6x).

3. Create a perfect square trinomial:

y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.

4. Present the trinomial as a binomial squared:

y=3(x+3)^2-27.

The vertex coordinates are (-3,-27).

Result: the value that is missing is 3

PIT_PIT [12.4K]2 months ago
5 0

Response:

It appears to be A on e2020

Explanation step-by-step:

You might be interested in
A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet
PIT_PIT [12445]

Response:

Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:

  • $174.6 per computer tablet.

Detailed explanation:

Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:

  • Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
  • Reduced benefit for 18% of tablets = $180 - $30 = $150

From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:

  • Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
  • Overall profit = 18% * 150 + 82% * 180
  • Overall profit = $174.6

Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.

6 0
1 month ago
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Inessa [12570]

Answer:

The provided radical equation has no solution.

x = 225/16 is not a valid solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Check by substituting the value of x back into the original equation to confirm the extraneous solution.

 

Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.

Consequently, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
2 months ago
Read 2 more answers
An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.
Inessa [12570]
An acute angle measures under 90°. An angle bisector is a ray that divides an angle into two equal neighboring angles. For example, if you have an angle of 270°, which exceeds a semicircle, it divides into two angles of 135° each. In this instance, the resulting angles are not acute; rather, they are obtuse.
5 0
2 months ago
A merry-go-round has a radius of 18 feet. If a passenger gets on a
Zina [12379]

Answer:

The rotation angle measures 2.11 °

Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

Let us denote the angle of rotation as Ф

Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

Thus,

distance rolled by the wheel = π × radius × \frac{\Theta }{180^{\circ}}

As 180° represents π radians

And π approximates to 3.14

Thus, distance rolled by the wheel = 180 °× radius × \frac{\Theta }{180^{\circ}}

That is l = r × Ф

So, Ф = \frac{l}{r}

Consequently, Ф = \frac{38 feet}{18 feet}

Therefore, Ф = 2.11 °

Thus, the rotation angle is Ф = 2.11 °

Hence, the rotation angle is 2.11 ° Answer

6 0
2 months ago
Find the domain of the graphed function apex
Leona [12618]

Response:

Me: 3

Step-by-step explanation:

3 0
1 month ago
Other questions:
  • The area of a closet is 100 square feet. Write the number in exponent form and in word form
    6·2 answers
  • For each object , choose an appropriate scale for drawing that fits on a regular sheet of paper . Not all scales on the list wil
    15·1 answer
  • Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than
    8·1 answer
  • What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.
    14·2 answers
  • Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride
    13·1 answer
  • Carla saved $25 per month for 3 years. She spent 85% of her savings on a television. How much money does Carla have left?
    9·1 answer
  • Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the foo
    5·2 answers
  • In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the pe
    15·1 answer
  • A log is 16m long, correct to the nearest metre. It has to be cut into fence posts which must be 70cm long, correct to the neare
    12·1 answer
  • Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highwa
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!