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

help for brainliest and 10 points

Answers

Answer:

-3

Step-by-step explanation:

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

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]

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


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

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:)

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.

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)

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

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)

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

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:

?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.

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

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]

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

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

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

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~

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]

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

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

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%.

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

Answers

Answer:

see explanation for detailed analysis

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

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]

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 :)

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.

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:

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):

9×4 - 10 fours - ? fours

Answers

Answer:

9×4 - 10 fours - 26 fours

Step-by-step explanation:

9×4 - 10 fours - 26 fours

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