MATH! Please help me. I will mark brainlist :)

Alex

The inverse of this function is f(x) = $\frac{3x + 15}{4}$

To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.

f(x) = $\frac{-15 + 4x}{3}$ ----> Switch the x and f(x)

x = $\frac{-15 + 4f(x)}{3}$ ----> Muliply both sides by 3

3x = -15 + 4f(x) ----> Add 15 to both sides

3x + 15 = 4f(x) ----> Divide both sides by 4.

f(x) = $\frac{3x + 15}{4}$

3 0

3 years ago

Eden has a part time job. She gets paid £7. 20 per hourthis week she worked for 18 1/2 hourswork out Eden's total pay for this w

Dafna1 [17]

Answer:

$133.20

Step-by-step explanation:

Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.

1. Multiply 7.20 by 18 to get 129.60

2. Multiply 0.50 by 7.20 to get 3.60.

3. Add 129.60 and 3.60 together to get the answer, 133.20.

5 0

2 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two

kvv77 [185]

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°

4 0

3 years ago

Jodi is cutting out pieces of paper that measure 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1000

jolli1 [7]

8 1/2 or 8.5 x11 = 93.5 square inches thus,
1000 square inches divided by 93.5 square inches
1000/93.5 ~10.695
that mean that Jodi can cut out about 10 pieces of paper measuring 8 1/2 x 11 inches.

4 0

3 years ago