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2 years ago

Need brief explanation about why false is correct

Mathematics

1 answer:

anyanavicka [17]2 years ago

6 0

<u>We are given the equation:</u>

(a + b)! = a! + b!

<u>Testing the given equation</u>

In order to test it, we will let: a = 2 and b = 3

So, we can rewrite the equation as:

(2+3)! = 2! + 3!

5! = 2! + 3!

120 = 2 + 6

We can see that LHS ≠ RHS,

So, we can say that the given equation is incorrect

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Find the first six terms of the sequence. a1=-7, an=2*an-1

AlladinOne [14]

The first term of the sequence is $a_{1} = -7$ .

The sequences is recursive, every next term of the sequence is obtained by multiplying the previous term by 2.

So, we can find the next 6 terms as shown below:

$a_{2} = 2*a_{1}=2(-7)=-14$
$a_{3} = 2(-14)=-28$
$a_{4} = 2(-28)=-56$
$a_{5} = 2(-56)=-112$
$a_{6} = 2(-112)=-224$
$a_{7} = 2(-224)=-448$

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3 years ago

The sum of two numbers is 2. If one number is subtracted from the other, their difference is -8. Find the numbers.

raketka [301]

Answer:

5 and -3

Step-by-step explanation:

x+y =2

X-Y=-8

BY USING SIMULTANEOUS EQUATION

SUBTRACT SUCH THAT

2Y=10

SO Y = 5

X= -3

3 0

2 years ago

Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br

Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9 (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0 (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0

3 years ago

The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.

Katarina [22]

The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.

5 0

3 years ago

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

Ostrovityanka [42]

The x-value of the intersection point of the lines is ( d - b)/(a-c)

<h3>Intersection of lines</h3>

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

7 0

2 years ago