a designer is making a banner, as shown in the diagram, of width 3x and height 2x, where x is in feet. one foot of material on each side is gray, as shown below

Answers

Answer 1

Answer:

a) f(x) = 6x^2 - 4x

b) 80 ft²

Step-by-step explanation:

Refer to attached for full question

a.

Area formula for rectangle:

A = wh

We see the width of the white part of the banner is 3x - 2 and height is 2x

Function to define the area

f(x) = (3x - 2)*2x = 6x^2 - 4x

b.

If maximum width of white area is 10 ft, then the dimensions are:

3x - 2 = 10 ⇒ 3x = 12 ⇒ x = 4w = 10, h = 2*4 = 8A= 10*8 = 80 ft²
A Designer Is Making A Banner, As Shown In The Diagram, Of Width 3x And Height 2x, Where X Is In Feet.

Related Questions

True or False: X=3 is the solution to 2x+10/5=4.

1. True
2. False

Answers

Answer:

Step-by-step explanation:

False

2x + 10/5 = 4

If the *divided by 5* is for the whole expression
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2 = 5 [false]

If *divided by 5* is only for 10
2x + (10/5) = 4
2x + 2 = 4
2x = 4-2
x = 2/2
x = 1 [false]

Answer will be false in both cases but i gave the solution to make you understand.
Hope it helps.

PLEASE HELP!!!! GIVING BRAINLIEST!!!

Identify the missing input value.

Answers

Answer:

The answers are 34 on the in side and 57 on the out side

Step-by-step explanation:

This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.

I hope this helps

Answer:

In: 33 Out: 29

In: 62 Out: 58

Step-by-step explanation:

Lets find the rate of change first;

[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]

Can someone please help me with this one please

Answers

Answer:

Step-by-step explanation:

the answer is 3

simplify x X x^5 divided by x^2 X x

Answers

Answer:

[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]

Step-by-step explanation:

[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]

Answer:

X × X^5 ÷ X^2 ×X

X^3

because the same variable can be cancelled.

what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?

Answers

Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

What are the coordinates of midpoint of the line segment AB?

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

Learn more about mid point here;

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In 2018, Gretal earned $32 000.
(i) She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018

Answers

24% of 32k is equal to 7,680.

So she paid of $7,680 in taxes.

Gretal paid $7680 on tax in 2018.

What is a percentage?

"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."

Given

Earning = 32000

Tax paid = 24%

Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]

= $7680

Hence, she paid $7680 on tax.

Learn more about percentage here

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will mark brainliest

Write an expression for the perimeter of the triangle shown below:


A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.


4.1x + 29

4.1x − 29

4.5x + 29

4.5x − 29

Answers

4.1x + 29 is the correct answer
Answer:The perimeter is just the sum of all the side lengths.So let's get to work and add it up: (2.3x + 14) + (2x) + (-0.2x + 15)Add up all the x's:  (2.3x + 2x - 0.2x) =  4.1xAdd up all the ordinary numbers:  (14 + 15) = 29So the perimeter is simply    4.1x + 29.

2/-3 divided by -1 2/7 =
pls explain the answer

Answers

Answer:

[tex]\frac{14}{27}[/tex]

Step-by-step explanation:

[tex]-1\frac{2}{7} = -\frac{9}{7}[/tex]  Plug -9/7 in: [tex]-\frac{2}{3}[/tex] ÷ [tex]-\frac{9}{7}[/tex]  -2/3 ÷ -9/7 = 2/3 ÷ 9/7 = 2/3 × 7/9[tex]\frac{2}{3}[/tex] × [tex]\frac{7}{9} = \frac{14}{27}[/tex]  

I hope this helps!

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[tex] \frac{2}{ - 3} \div (- 1 \frac{2}{7}) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{ 7}{7} - \frac{2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( \frac{ - 7 - 2}{7} ) = \\ [/tex]

[tex] - \frac{2}{3} \div ( - \frac{9}{7} ) = \\ [/tex]

Negatives simplifies

[tex] \frac{2}{3} \div \frac{9}{7} = \\ [/tex]

[tex] \frac{2}{3} \times \frac{7}{9} = \\ [/tex]

[tex] \frac{14}{27} \\ [/tex]

Done...

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what is the slope of y = -x + 7

Answers

The slope of this equation would be m = -1

Answer:

slope m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 7 ← is in slope- intercept form

with slope m = - 1

What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?

Answers

Answer:

y = 1x/4 +3

Step-by-step explanation:

M=1/4

Explanation: u just take the two points and plug them in the to the formula y2-y1/ x2-x1

Match the following equations to their solutions. (Answers should be ordered pairs like this (x,y)

2x - y = 14

y = -2x - 1/2

7 + 5x = y + 7

3x + 2y = 36

6 - x = 4y

9x = 2y

Answers

Answer:

1. (8,2)

2. (-0.25,0)

3. (1,5)

4. (10,3)

5. (6,0)

6. (2,9)

hep please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Hm, D would equal either 5 or 6.

Answer: d=3

Step-by-step explanation:because if u plug it in that will be grater

PLEASE HELP ILL GIVE BRAINLIEST. Which graph displays a rate of change of 2.5?
fy
Ay
4
2
2
x
X
2
4
2
-2
4
2.
-4
-4
4
-2.
2
2
2
-4

Answers

Step-by-step explanation:

i can't see the graph but I have done it before it is middle one

What is the answer to this question?

Answers

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )

What is the slope of the line parallel to 7x + 4y = -16?

Answers

Answer:

The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = [tex]\frac{-a}{b}[/tex]

∴ The slope of the line = [tex]\frac{-7}{4}[/tex]

∵ Parallel lines have the same slope

The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]

caculate the average speed from points D to point E

Answers

Answer:

20 seconds

Step-by-step explanation:

30 is where the E point is at while 10 is where D-point at.subtract these 2 and youll get 20


Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)

Answers

Answer:

the x-intercept is (-10, 0) the y-intercept is (-45, 0)

Answer:

X intercept is (-10,0)

Y intercept is (0,-40.5)

Step-by-step explanation:

Hope this helps.

please help asap, will mark brainliest :))

Answers

Answer:

26

Step-by-step explanation:

Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:

Square the given sides.Add the sides togetherFind the square root of the sum.

The square root of the sum is the side length of the hypotenuse.

[tex]10^{2} = 100\\24^{2} = 576[/tex]

100 + 576 = 676

[tex]\sqrt{676} = 26[/tex]

For khan academy. Need answer immediately. Explain if you can

Answers

Answer:

The answer is B

is y=x/4 proportional or non proportional?

Answers

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:

Student council is voting which elective classes should be offered at the middle school. the choices are Band, Art, and Spanish. Art received twice as many votes as Band. Spanish received 20 more votes than Art. 190 students voted total.

Answers

Question what are we supposed to do like add subtract??

Answer:

34 people voted for band 68 people voted for art and 88 people voted for Spanish this help

Step-by-step explanation:

Mario deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Mario leaves the money in the account for 12 years, how much interest will he earn?

Answers

Answer:

$2,184

Step-by-step explanation:

Simple interest = (Principal × Rate × Time) / 100

Principal = $6,500

Rate = 2.8%

Time = 12 years

Simple interest = (Principal × Rate × Time) / 100

= (6,500 × 2.8 × 12) / 100

= 218,400 / 100

= 2,184

Simple interest = $2,184

The simple interest on $6,500 at 2.8% for 12 years is $2,184

Which pair of triangles can be proven congruent by SAS?

Answers

Where The Whole Problem At. ?

ASAP
Can someone help me with this pleaseeee

Answers

It’s option D.) I did a quiz on this !


Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
a.
How many minutes does she jog on Sunday?

Answers

Answer:

41

Step-by-step explanation:

15+26=41

Answer:

41 minutes

Step-by-step explanation:

If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:

So, add 15 to 26:

15 + 26

= 41

So, she jogged 41 minutes on Sunday.


Divide. Round your answer to the nearest whole number.
91,543 = 5 =​

Answers

Answer:

i assume you mean divide so its 18308

Step-by-step explanation:

she remaining amount Lily has yet to pay Megan is $. Lily owed Megan $129.42. So far, she has paid Megan $32.56.?????

Answers

Answer:

129.42 - 32.56 = 96.86$

what is the y - intercept

Answers

Answer:

The y- intercept is 1

Step-by-step explanation:

Since the line crosses the y-axis at 1, the y-intercept is 1. Like the x-intercept. The line crosses the x-axis at um.. I would say about -1.5, so the x-intercept is -1.5.

Hope this helps you!!!

scientific notation the question is 4x10 to the power of negative 9

Answers

Answer: -15

Step-by-step explanation:

I think that's right

Since the beginning of fall, the little tree in front of Mrs.Wenger's house loses 12 more leaves every day. After 5 days, it haf only 208 leaves remaining.

Answers

Answer:

268

I'm not smart so if u get this wrong, I'm sorry

Step-by-step explanation:

12 x 5 = 60

60 + 208 = 268

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