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
kenny6666 [7]
3 years ago
9

Hunter and Brian are creating a poster for a project and they need to combine two different size boards to create their project.

If the total area cannot exceed 7x to the second power -6x+2 square inches and one board Is 2x to the second power -9x+8 square inches, then what must be the maximum area of the second board?
Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

5x² + 3x - 6

Step-by-step explanation:

Data:

  • Total area: 7x² - 6x + 2
  • Area of one board: 2x² - 9x + 8
  • Area of the other board: f(x)

The addition of the area of the two boards cannot exceed the total area. Then:

f(x) + 2x² - 9x + 8 ≤ 7x² - 6x + 2

f(x) ≤ 7x² - 6x + 2 - 2x² + 9x - 8

f(x) ≤ (7x² - 2x²) + (-6x + 9x) + (2 - 8)

f(x) ≤ 5x² + 3x - 6 in square inches

shepuryov [24]3 years ago
7 0

Answer:

<em>The maximum area of the second board must be (5x^2+3x-6) square inches.</em>

Step-by-step explanation:

The total area of two different size boards cannot exceed (7x^2-6x+2) square inches.

The area of one board is  (2x^2-9x+8) square inches.

Suppose, the area of the second board is  y square inches.

That means......

y+(2x^2-9x+8)\leq 7x^2-6x+2\\ \\ y\leq (7x^2-6x+2)-(2x^2-9x+8)\\ \\y \leq 7x^2-6x+2-2x^2+9x-8\\ \\ y\leq 5x^2+3x-6

So, the maximum area of the second board must be (5x^2+3x-6) square inches.

You might be interested in
Please help need how to explain this theory. Thanks
frozen [14]
Hi there!

A recipe for cake needs 3/4 of a cup of milk.
We are making 1/2 of the recipe, which means we also need half of the milk needed for the total recipe. Therefore, we can multiply 1/2 (half of the recipe) by 3/4 (the total amount of cups of milk needed for the total recipe).

\frac{1}{2} \times  \frac{3}{4} =  \frac{3  \times 1 }{2 \times 4} =  \frac{3}{8}
Hence, we need 3/8 cups of milk
4 0
2 years ago
what is the slope of the picture (if this is super easy, the reason I asked this question is that my brain is working horrible t
Sedaia [141]

Answer:3/2 or 1.5

Step-by-step explanation:

(9-6)/(3-1)=

3/2

7 0
3 years ago
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m
ANTONII [103]
< 1 and < 2 are vertical angles...because they are opposite angles made by two intersecting lines
< 3 and < 4 are adjacent....because they have a common side and a common vertex
6 0
3 years ago
Read 2 more answers
Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the t
motikmotik

Answer:

11 rides

Step-by-step explanation:

let the total amount be y

and let the number of ride be x

the expression for the situation is y=mx+c

given

total amount=$28

admission fee= $6

cost per ride=$2

we are expected to find x

substitute into the expression we have

28=2x+6

28-6=2x

22=2x

divide boths sides by 2 we have

x=22/2

x=11

the number of rides is 11

4 0
3 years ago
Help me out hunnys ❤️
Alenkinab [10]

Answer:

g(x)=3(x+3)^2-8

Step-by-step explanation:

You can solve by using these acronyms.


H. orozontal.

I. nside.

O. pposite.


Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).


The other acronym is,


V. erticle.

O. utside.

S. ame.


Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).


For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.


Since you are moving left the number will move up 3 hence the O.


<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>



3 0
2 years ago
Other questions:
  • Graph the line y = -5/4x-3
    12·1 answer
  • Carlos is 63 inches tall. What is his height in feet?
    13·2 answers
  • Frank purchased 5 boxes of paper clips with 80 clips in each box . Cecily purchased 6 boxes of paper clips with 70 clips in each
    5·2 answers
  • Please help me I'm stuck on these.. Thanks​
    15·1 answer
  • What is 0.6 divided by 12.9?
    14·2 answers
  • 20% of____ is 15 ????
    7·1 answer
  • What is the symbol of an inverse function​
    14·1 answer
  • Can someone make sure my answers are correct
    12·2 answers
  • Challenge An arts academy requires there to be 4 teachers for every 96 students and 6 tutors for every 66 students. How many stu
    6·1 answer
  • Which of the following shows the simplified function of csc x sin(pi/2 -x)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!