What is the factorization of the expression below?

16x^2 - 49

A. (4x + 7)(4x - 7)

B. (4x - 7)(4x - 7)

C. (8x - 7)(2x - 7)

D. (8x + 7)(2x - 7)

What Is The Factorization Of The Expression Below? 16x^2 - 49A. (4x + 7)(4x - 7)B. (4x - 7)(4x - 7)C.

Answers

Answer 1

Answer:

[tex](4x+7)(4x-7)[/tex]

Step by step explanation:

[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]


Related Questions

The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6

Answers

At 1.00Pm the temperature was -13°C

No of hours be nIncrease rate=6°C/hour

So

The equation is

y=6n+(-13)y=6n-13y=-13+6n

Can somebody please help with this, I have been stuck on it for a while

Answers

Answer:

$2821.50

Step-by-step explanation:

value = 2700 (deposit) x 0.003 (rate) x 15 (time) + 2700

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 0.3\%\to \frac{0.3}{100}\dotfill &0.003\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2700[1+(0.003)(15)]\implies A=2700(1.045)\implies A=2821.5[/tex]

9x9/16+12 whats the answer

Answers

Answer:

17.0625

Step-by-step explanation:

Due to order of operations the division and multiplication get done first and the we add the 12

Answer:

2.89285714

Step-by-step explanation:

9x9/16+12

81/16+12

5.0625 + 12 = 17.0625

Hope this helps :)

Which of the following best describes the graph below

Answers

Answer:

i believe its A

Step-by-step explanation:

Answer:

B. The graph is not a function.

Step-by-step explanation:

We are given the graph of a relation. It is required to determine whether the graph represents a function or not. 'If a vertical line passing through the graph of the relation cuts the graph at at-most one point, then the given graph represents a function else not'. So, if we plot the vertical line 'x = 3' in the figure, we see that, The vertical line drawn crosses the graph at two points A and B as shown below. Thus it would be B

i need help quick.......​

Answers

[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]

Señora Cruz will use four triangles on the door decor. How many square centimeters of paper will Señora Cruz use to create the triangles?

Triangle has bases as 3.7 and height as 6.8

Square has length as 7.5 and width as 3.9

Answers

Answer:

  50.32 cm²

Step-by-step explanation:

The area of a triangle can be computed using the formula ...

  A = 1/2bh

For a triangle with base 3.7 cm and height 6.8 cm, the area is ...

  A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²

__

For four (4) triangles, Señora Cruz will need 4 times this area:

  4 × (12.58 cm²) = 50.32 cm²

Señora Cruz will need 50.32 cm² of paper to create her door decor.

3. For each triangle, find the length of the labeled side.

Answers

Answer:

see explanation for detailed analysis


Find the area of the following shape. (8 points)

what is the answer?

Answers

Answer:

72 square units

Step-by-step explanation:

Identify the heightIdentify the lengthMultiply those two togetherThat is your answer

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

A building that is 150 ft tall casts a shadow of 20 feet long.
At the same time a tree casts a shadow of 2 ft. How tall is
the tree?

a. 15

b. 20

c. 25

d. 30

Answers

Answer:

a.15 feet

Step-by-step explanation:

150 divided by 20 is 7.5

7.5 times 2 is 15

9×4 - 10 fours - ? fours

Answers

Answer:

9×4 - 10 fours - 26 fours

Step-by-step explanation:

9×4 - 10 fours - 26 fours

4
Find the perimeter of a
Square with a side
length of 7 meters.

Answers

Answer: P=28 meters

Step-by-step explanation:

[tex]P=4[/tex] × a ⇒ a is the side length

[tex]P=4[/tex] × [tex]7[/tex]

[tex]P=28[/tex]

Answer:

28 m

Step-by-step explanation:

Given

Side length = 7 m

Perimeter of a square

4 x Side length4 x 728 m

Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?

Answers

Answer:

Bridget flew 4100 miles.

Step-by-step explanation:

L + K + B = 7800

1500+2200+B=7800

3700 + B = 7800

Subtract 3700.

B = 4100

Bridget flew 4100 miles.

?A bag contains red, blue, and green candies. Benjamin pour
out a handful and counted 10 red, 6 blue, and 14 green
candies. According to these ratios, if the bag contains a total of
400 candies, about how many of them are blue?

Answers

About 66 candies are blue.

16+32 as a product of two factors using gif and distributive property

Answers

16 + 32 = 16 x 1 + 16 x 2 = 16 x (1 + 2)

Help solve for “q”
—————————————

Answers

Digram:-

[tex] \\ [/tex]

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]

[tex] \\ [/tex]

STEP :-

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

{Linear pair}

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf q = 16 \degree[/tex]

[tex] \\ \\ [/tex]

Verification:

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

LHS = RHS

HENCE VERIFIED!

Answer:

Value of [tex]\sf\purple{q\: = \:16.}[/tex]

Step-by-step explanation:

[tex]\rightarrow[/tex]As we know that,

Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]

So,

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]

Thus, [tex]\sf\purple{q\: = \:16.}[/tex]

_________________________________

Hope it helps you:)

How to solve x + y[tex]\frac{dy}{dx}[/tex] = 0

Given that solution goes to (2,0) Neither x nor y can exceed 2

Answers

Answer:

The answer is {D}

Step-by-step explanation:

jack had m math problems to complete during his vacation. he solved the same number of problems every day and finished them all in 5 days. how many problems did jack solve per day.

Answers

If Jack finish them all in 5 days, then he can solve m/5 math problem in just one day.

Word problems leading to quadratic equation

From the given question, jack can only solve m math problems in 5 days, this can be expressed as:

m problems = 5 days

The number of questions he can solve per day is expressed as:

x = 1 day

Take the ratio

m/x = 5/1

5x = m

x = m/5 math problems

This shows that jack can solve m/5 math problem in just one day

Learn more on ratio here: https://brainly.com/question/2328454

A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.

Answers

The volume of the cylinder is the amount of space in the cylinder

The volume of the cylinder is 218.4 cubic centimeter

How to determine the volume of the cylinder?

The given parameters are:

Circumference (C) = 14 cm

Height (h) = 10.1 cm

Start by calculating the radius (r) using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]2\pi r = 14[/tex]

Make r the subject

[tex]r =\frac 7\pi[/tex]

The volume of the cylinder is then calculated as:

[tex]V =\pi r^2h[/tex]

This gives

[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]

Evaluate

[tex]V =218.4[/tex]

Hence, the volume of the cylinder is 218.4 cubic centimeter

Read more about volumes at:

https://brainly.com/question/10171109

Help help math math math math math

Answers

Answer:

A

Step-by-step explanation:

You can think about it as an equation without the inequality:

y = 5 - x        OR       y = -x + 5

Slope = -1

Y-intercept = 5

Graph B is a horizontal line with a slope of zero and y-intercept of 2. Graph A is the only one that fits the above parameters.

Hope this helps!

Answer:

a

Step-by-step explanation:

a thousand dollars is left in a bank savings account drawing 7% interest, compounded quarterly for 10 years. what is the balance at the end of that time​

Answers

Answer:  $2001.60

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.07/4)^(4*10)

A = 2001.59734318603

A = 2001.60

This assumes that you do not withdraw any of the money over the course of the 10 years. Also, the interest rate must stay the same at 7%.

A Ferris wheel is 20 meters in diameter and completes 1 full revolution in 8 minutes.



A round Ferris wheel

A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.



a. Find the amplitude, midline, and period of h(t).



Enter the exact answers.



Amplitude: A= meters

Midline: h= meters

Period: P= minutes



b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t).



Hints:

What is the value of h(0)?
Is this the maximum value of h(t), the minimum value of h(t), or a value between the two?
The function sin(t) has a value between its maximum and minimum at t=0 , so can h(t) be a straight sine function?
The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine function?


c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?

Answers

Given that the Ferris diameter is 20 meters, with a rate of rotation of 1 turn in 8 minutes, we have;

a. Amplitude: A = 10 meters

Midline: h = 11 meters

Period, P = 8 minutes

b. h(t) = 10•cos((π/4)•t + π) + 11

c. 11 meters

How can the Ferris wheel be evaluated?

The amplitude is the same as the radius of the Ferris wheel,

The radius of the Ferris wheel = 20 ÷ 2 = 10

Therefore;

Amplitude: A = 10 meters

[tex]the \: midline \: = \frac{max \: height \: + min \: height}{2} [/tex]

Therefore;

[tex]midline \: = \frac{10 + 10 + 1 + 1}{2} = 11[/tex]

Midline: h = 11 meters

The period is the time to complete one rotation, therefore;

Period, P = 8 minutes

b. h(t) = A•cos(B•t + C) + h

Where;

B = 2•π/P

When t = 0, h(t) = 1

Which gives;

h(0) = 1 = 10 × cos(B×0 + C) + 11

-10/10 = -1 = cos(C)

C = arcos(-1) = π

Therefore;

h(t) = 10•cos((π/4)•t + π) + 11

h(0) = 1

h(0) is the minimum value of h(t)

h(t) cannot be a straight sine function because of the vertical shift

h(t) cannot be a straight cosine function because at t = 0, is the minimum point

c. After 30 minutes, we have;

h(30) = 10•cos((π/4)×30 + π) + 11 = 11

The height of a person after 30 minutes is 11 meters

Learn more about the Ferris wheel here:

https://brainly.com/question/86214

What numbers could replace each letter to make both of the number sentences true?

Answers

Answer:

N = 9  & P = 4

Step-by-step explanation:

N* N = 81

N * N = 9*9

N = 9

N * P = 36

Substitute N = 9,

9* p = 36

    P = 36 ÷ 9

  P = 4

solve this question plss​ on number line

Answers

Answer:

3. 13/36, 14/36, 15/36, 16/36, 17/36

4.

-0.5 -0.25 0 0.25 0.5

5. 0.05

3.

between 1/2 and 1/3

five rational numbers:

0.35, 0.4, 0.42, 0.45, 0.46

4. Given in the graph below.

5. (-2/5 + 1/2)/2 = 0.05

help for brainliest and 10 points

Answers

Answer:

-3

Step-by-step explanation:

[tex]0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3[/tex]

Find the mean of the data.

8,14,22,7,2,11,25,7,5,9

Answers

Answer:

11

Step-by-step explanation:

Given:

8,14,22,7,2,11,25,7,5,9

Solve:

Put in order:

2, 5, 7, 7, 8, 9, 11, 14, 22, 25

Note:

Mean-

Add up all data values to get the sumCount the number of values in your data setDivide the sum by the count

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Hence, the mean of the data is 11.

[RevyBreeze]

Answer:

The mean of the data given is 11

What is mean?
The mean is the arithmetic average of a set of given numbers. The median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

(pls give the person who answered before me braineist)

Simplify the given expressions below.
I) 4x + 8 - 2x + 7


2) 2n ×5 ×2a


3) 6a power 5 over 3a power 2 ×2a
please work it out and clear​

Answers

Step-by-step explanation:

1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]

Combine like terms

[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]

Add 4x and 2x , 7 + 8

[tex] \rightarrow \sf \: 2x + 15[/tex]

~Done~

2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]

[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]

[tex] \rightarrow \sf \: 20an[/tex]

~Done~

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:

Answers

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

Subtract 14 from both sides

Goal:

To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

[tex]\boxed{\boxed{\bold{x=49}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

Please help this is due

Answers

[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]

The family soent 125$ in may for electric bills, in june the bill increased by 12% bc they used the ac more often. Write a equation to calculate their total electricity bill in june. Let y equal the total cost

Answers

Answer:

125x 12 and divide the answer

Step-by-step explanation:

Answer:

125x 12 and divide the answer

Step-by-step explanation:

There are several ways to reduce how much does it cost to run an air conditioner. The two main ones are:Buying an air conditioner with a high energy efficiency rating (EER, SEER, CEERratings are valid specifications).Reducing the number of hours per day that you use a given air conditioner.Note: It’s recommended to estimate how much electricity does an air conditioner use before buying a specific unit.On average, running an air conditioner costs between $0.06 and $0.88 per hour. Let’s calculate how much does air conditioning cost per month (running 8h per day):

Ann got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbons at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $10.41 left on the card, how many yards of ribbon did Ann buy?

Answers

Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.

How to find the length(yard) from the cost(dollars)

She has 15 dollars in her debit card.

She bought bulk ribbons at a craft store.

The price of the ribbon is 17 cents per yards. Therefore,

17 cents = 0.17 dollars

Hence,

Amount debited from her account  = 15  - 10.41 = $4.59

Therefore, she spent a total of $4.59 .

The yards of ribbon bought = 4.59 / 0.17

The yards of ribbon bought = 27

Therefore, Ann bought 27 yards of bulk ribbon.

learn more on length here: https://brainly.com/question/24475018

Other Questions
Que significa "tristeza"? Por qu la gente siente pena? Todo el mundo experimenta esto en algn momento de su vida?Definirlo en mis propias palabrasAyudenme porfavor!Lo necesito urgentemente! 12) Judicial activism is seen as negative becausea) it goes against stare decisisb) it is viewed as judges making lawsc) it is sometimes based on opinion d) all of the above InversionModleVous arrivez demain.Arrivez-vous demain?6.L'tudiante oublie le livre.Question:(blank)7.La physique est utile.Question:(blank)8.Il y a deux salles de classe.Question:(blank)9.Ils n'habitent pas Qubec.Question:(blank)10.C'est le professeur d'art. help me please I need this define one meter lendth The Tuskegee Syphilis Study was ethically problematic because ________ For which of these reasons is the word expedite a verb?O A. It can easily be pictured.O B. It ends in -ite.O C. It can be broken down into three parts.O D. It has no antonyms.Help Read the following excerpt from an argumentative essay. Answer the question that follows:Critics might say that smartphones in the classroom cause too many distractions. A 2009 article in Education Magazine made just such a claim. Although cell phones can certainly cause distractions, current research suggests that teachers and students are putting phones to better use. A 2013 Educator Insider poll reveals that 67% of high school instructors now encourage students to use phones in the classroom setting. Students without phones are actually at a disadvantage in the classroom. The poll lists Internet access, spell checks, and collaboration as three key uses of smart phones in an educational setting.How does the author handle the counterclaim? aThe author chooses to concede the point and offers no rebuttal. bThe author offers an opinion discounting the counterclaim. cThe author ignores the counterclaim and avoids responding. dThe author supplies a rebuttal that quotes more current research. *40 POINTS*What's the main idea of this article? One of the main activities of the publishing phase of the writing process isBrainstormingRevisingProofreadingFormatting PLEASE HURRY ILL GIVE BRAINLY"When I was very young and first started reading about astronauts, there were no women astronauts. " However, she was inspired while she was a child by the Mercury astronauts, and by the time she was in high school and college, new opportunities were opening up for women in aviation. "My timing was really great," she said. Based on this text: How did historical events influence as a young person? Which polynomial is a quartic trinomial?A. -x^4-5x^2 + 1B. x^2 + 4C. x^3 + 2x^2 - 8x + 16D. 3x^5 + 7x^2 - 9x^4 What is a medical procedure used to gain access to the venous system in the event that an IV line cannot be placed or this procedure is needed to guarantee patient safety. A circular clock has a circumference of 27 inches. Find the approximate diameter of the clock. Use 3.14 for . Round to the nearest hundredth if necessary. This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 34.What is the surface area of the image after the dilation?185 5/8 m219 3/8 m247 1/2 m292 1/2 m Help Picture below problem 17 Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy? Complete the following statements with the best answer. when one is using the standard normal distribution. p(z < 0) = ___________. Calculate the range of wavelengths that are received by the radio in a car. Suppose that the range of frequencies of FM radio is 88.0 MHz to 108 MHz. What are the impacts of genomic era on microbial phylogeny systematics