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Delvig [45]
1 year ago
13

Quick please!

Mathematics
1 answer:
Soloha48 [4]1 year ago
5 0

Answer:

3(4j + 7 + 2j)

12j + 21 + 6j

12j + 6j + 21

18j + 21 ----- (1)

3(6j +7)

18j + 21 --------(2)

eq 1 = eq. 2

both are equal

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The average age of 6 men is 35 years and
PSYCHO15rus [73]

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

7 0
3 years ago
Jessica is deciding on her schedule for next semester. She must take each of the following classes: English 101, Spanish 102, Bi
user100 [1]
Just a random guess 22,275 tell me if it right
8 0
3 years ago
Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-
oee [108]

Step-by-step explanation:

<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

<h3>c) 40 x -23 + 40 x -17 </h3>

(40 x 23) + (40 x -17)

920 + (-680)

= 240

<h3>d) 1673 x 99 – (-1673) </h3>

(1673 x 99) + 1673

1673 x 100

= 167300

<h3>e) 490 x 98 = 48020</h3>

Hope this helps ^-^

7 0
3 years ago
Which two functions are inverses of each other?
liraira [26]

Answer:

Option 3 - f(x)= 4x, g(x) = \frac{1}{4}x

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if f(g(x))=x=g(f(x))

Now, we find one by one

1) f(x)= x, g(x) = -x

f(g(x))=f(-x)=-x\neq x

Not true.

2) f(x)= 2x, g(x) = -\frac{1}{2}x

f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x

Not true.

3) f(x)= 4x, g(x) = \frac{1}{4}x

f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x

g(f(x))=f(4x)=\frac{1}{4}\times 4x=x

i.e. f(g(x))=x=g(f(x)) is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, g(x) =8x

f(g(x))=f(8x)=8\times(-8x)=-64x\neq x

Not true.

Therefore, Option 3 is correct.

6 0
3 years ago
Rohen decided to collect data to determine if the size of a student's home and the student's age are correlated. He determined t
Aliun [14]

To solve the problem we must know about the correlation coefficients.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

  • 1 indicates a strong positive relationship.
  • -1 indicates a strong negative relationship.
  • A result of zero indicates no relationship at all, therefore, independent variable.

The correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".

Given to us

  • The correlation coefficient for the data is 0.2.

As we can see that the value of the correlation coefficient is 0.2, therefore, it is far from1 meaning the relationship is weak, while the '+' symbol denotes that the relationship is positive.

Hence, the correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".

Learn more about Correlation Coefficients:

brainly.com/question/15353989

7 0
2 years ago
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