A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?

Answers

Answer 1

Answer:

3/4

Step-by-step explanation:

So remembering the length times width formula:

Put it in an equation-

(2x+1)(4x-3)

Now start to solve for x:

Multiply using 'foil' method:

(2x+1)(4x-3)

8x -6x + 4x -3

8x -2x -3

Now, factrorize 8x^2 - 2x - 3:    (Put a square since this is square measures)

8x^2 - 2x - 3   Sum = -2

                   Product = -24

                   Two numbers that give you the sum of -2 and product of -24:

                    -6 and 4

So now factor out like terms:

8x^2 -6x + 4x -3

2x(4x - 3) + 1(4x - 3)

(2x + 1) (4x-3) = 0

Solve for x in both:

2x + 1 = 0

x = -1/2

4x - 3 = 0

x = 3/4

The area cant be negative so the area in terms of x is:

x = 3/4

(Hope this helped)


Related Questions

PLS ANSWER QUICK, HELP

Answers

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

LOOK AT THE PHOTO AND ANSWER PLEASE

Answers

Answer:

Parallel, I think ||

Step-by-step explanation:

■■■■■■■

Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.  

find the value of x. round to the nearest tenth if needed.

Answers

[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]

In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks

Answers

Answer:

1/6 or 16.666%

Step-by-step explanation:

8/48 and there is your answer.

HELP ME PLS, the function-

Answers

Could u write it out??

Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?

Answers

So she cuts them so each one has 8 since there are two there will be 16 pieces

Out of those 16 she uses 12

So the fraction would be 12/16

But wait! We need to simplify it

Half it

6/8

Half it again

3/4

There ya go!

:))))

What is y if x=6 eqaution=y=4x+5​

Answers

y=29 ! hope this helps

What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *​

Answers

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac

Answers

Answer:

a. = associative

b. = communitive

c. = distributive

I need help with this noww

Answers

Answer:

B) 6/√3

Step-by-step explanation:

It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.

Write the equation of the quadratic function shown in the graph.

Answers

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

18.85

Step-by-step explanation:

adwadad

The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.

Answers

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

answer is d the longer answer

its very easy just try it

Answers

the answer is a. biased

Answer:

it is biased

Step-by-step explanation:

A simple closed figure bound by line segments is called polygon.


True or False?​

Answers

Answer:

A. True

Step-by-step explanation:

I majored in Mathematics

How to do subtract 1.7 from 3 show your work

Answers

3-1.7 = 1.3 this should be what your looking for

After painting 3/8 of a fence he finds that he has painted 15 feet

Answers

Answer:

whats the question? theres no context other than that little bit

Answer:

The fence is 40 feet long.

Step-by-step explanation:

I suppose the question is "What is the length of the entire fence?"

Formula

3/8 x = 15                     Multiply both sides by 8

8*(3/8)x = 15*8             Cancel

3x = 120                       Divide by 3

3x/3 = 120/3

x = 40

The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).

Answers

Step-by-step explanation:

A(t)=P(e^(rt))

Insert the values as follows:

The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

34820=P(e^((.78)(5)))

34830=P(49.4024)

704.82335

Hope that helps :)

Which triangles are similar to triangle ABC ?

Answers

Answer:

both of em

Step-by-step explanation:

Lily has 3 dog toys that are red. One fifth of all her dog toys are red. How many dog toys does Lily have? Complete the explanation. Please I need help!!!!

Answers

Answer:

she has 15 dog toys

Step-by-step explanation:

mutlipy 3 by five because the top number is one

for brainliest!!! please help

Answers

Answer:

42º

Step-by-step explanation:

90-48=42

Answer:

[tex]42^{o}[/tex]

Step-by-step explanation:

The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]

[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]

find the value of k if the roots
of 3x²-5x+k=0, differ by 2​

Answers

By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as

3x ² - 5x + k = 3 (x - a) (x - b)

and upon expanding, we have

3x ² - 5x + k = 3x ² - (a + b) x + ab

Two polynomials are equivalent if their coefficients are equal, so

a + b = 5

ab = k

We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :

a + (a - 2) = 5

2a - 2 = 5

2a = 7

a = 7/2

Solve for b :

b = 7/2 - 2

b = 3/2

Solve for k :

k = 7/2 × 3/2 = 21/4


Terrell ran around a track that was 100 yards long.
How many feet did he run?

Answers

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.

Answers

The answer is 50%...

I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math

Answers

Answer:

8 quarts and 1 pint

Step-by-step explanation:

there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over

Least common denominator in 1/30 + 1/24

Answers

Answer:

The LCD in 1/30 + 1/24 is 90.

Help


See the picture

Answers

Answer:

38.63Step-by-step explanation:

Area x height

Answer:

SA = 12 mi²

Step-by-step explanation:

bottom = 2 x 2 = 4 mi²

one side = 1/2(2)(2) = 2 mi²

SA = 4(2) + 4 = 12 mi²

What is the next term in the sequence below?

0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05

Answers

c
the answer is c because each number is the previous x3

Answer:

Its C

Step-by-step explanation:

What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answers

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

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