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
melisa1 [442]
3 years ago
9

What is the factorization of 49b2 − 81?

Mathematics
2 answers:
Soloha48 [4]3 years ago
6 0

49b^2 - 81 is (7b - 9)(7b + 9).

This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number.

(a^{2} -b^{2} )=(a+b)*(a-b)

in this problem we have

49b^{2} - 81 =7^{2} b^{2} -9^{2} =(7b+9)*(7b-9)

so the answer would be (7b-9)(7b+9)

hope this helps you have a great day

Ann [662]3 years ago
5 0

Answer:

Step-by-step explanation:

49b² - 81 = (7b)² - 9 ²

by identity : 49b² - 81 = (7b -  9)( 7b + 9)

You might be interested in
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tick
STALIN [3.7K]

The cost of one concert ticket is approximately  $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

ticket sales yesterday = $101244

He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)

The cost of one ticket can be calculated below:

cost of one ticket = 143,836 / 968

cost of one ticket = 148.590909091

cost of one ticket ≈ $ 148.59

read more: brainly.com/question/15471320?referrer=searchResults

3 0
2 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
Simplify by combining like terms<br> Х<br> 10k +5 +2k
Arte-miy333 [17]
Answer: 12k + 5
Hope this helps:)
5 0
3 years ago
Read 2 more answers
When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.
pishuonlain [190]

Answer:

x + 142 =3x + 64

2x = 78

x = 39

5 0
3 years ago
Read 2 more answers
X ⋅ x ⋅ x ⋅ x = ?<br> a: 4x <br> b: x(x+4)<br> c: x^4<br> d: x+4
sattari [20]
C would be the answer as x^{4} is the same thing as x * x * x * x.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is equivalent to -6
    13·2 answers
  • Helppppppppppppppp again .-.
    15·1 answer
  • Alice has seven times the amount of pens that Maurice has. Paul has two-thirds of the amount of pens as Alice and Suzy have comb
    5·1 answer
  • A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters. What is the
    14·1 answer
  • Which number line best represents the<br> expression below?<br> -(-3) + (-1)
    8·1 answer
  • How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
    9·1 answer
  • A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make
    6·2 answers
  • Andres buys 3 boxes of markers. Each box has the same number of markers. Andres now has 15 markers. Write and solve an equation
    9·2 answers
  • Answer if u actually know it only!!
    11·2 answers
  • ILL MARK U BRAINLIEST!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!