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
pentagon [3]
3 years ago
13

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

You might be interested in
The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the r
Romashka-Z-Leto [24]

Answer:

(9x-5)\ units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The perimeter of a triangle is the sum of the length of their three  sides

so

P=a+b+c

where

a,b,c are the length sides of the triangle

In this problem we have

P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units

substitute and solve for the missing length

(16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units

3 0
3 years ago
Number 25 someone help me
Fittoniya [83]
The area of a triangle is given by the formula A= \frac{1}{2}Bh, where B is the base and h is the height. We can rearrange this formula to solve for B.

\dfrac{A}{ \frac{1}{2}h} = B\\ \\\\\dfrac{2A}{h} = B.

We plug in the given area, 640 square millimeters, and the given height, 32 millimeters.

B= \dfrac{2(640)\ mm^2}{32 \ mm} = 40 \ mm.

40 mm is our final answer.
5 0
3 years ago
Which numerical expression could represent this phrase?
Agata [3.3K]

Answer:

Step-by-step explanation:

63 divided by 9 times 10 minus 2

7 0
3 years ago
Find point G on AB such that the ratio of AG to GB is 3:2.
lora16 [44]

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
1 year ago
What is 4/5 of 55?<br> Pls help me
rjkz [21]

Answer:

44

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Enter the value of n so that the expression (-y + 5) + (7y - 9) is equivalent to (ny - 4)
    15·1 answer
  • What is the area of the figure?<br><br> Enter your answer in the box.<br><br><br> in²
    13·1 answer
  • Find Area of the triangle
    7·1 answer
  • Rachel mows 5 lawns in 8 hours . at this, how many lawns can she mow in 40 hours? PLz put explanation too... or else »-(¯`·.·´¯)
    5·1 answer
  • A pond is freshly stocked with 6 brown trout and 18 lake trout. The first fisherman in the area catches and releases a trout. He
    5·2 answers
  • What is 5y-2y=24 help?
    12·2 answers
  • What fraction of the shape is shaded?​
    5·2 answers
  • Neeeeddd hwlppppp pplzzzzzzzzzzzz math 20 points
    14·1 answer
  • A comparison of 2 numbers is a
    11·1 answer
  • I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!