If f(x) = 3x + 2, find f(f–1(14)). A.176 B. 4 C.14 D. 44

The graph of a proportional relationship passes through (12,16) and (1,y). find y

anastassius [24]

Answer:

4/3

Step-by-step explanation:

A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}$

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

4 0

3 years ago

John has scored 657 points on his math tests so far this quarter. To get an A for the quarter, he must score a minimum Of 800 po

vazorg [7]

800 - 657
=143 points must be scored by John on his remaining tests in order to get an A

6 0

3 years ago

Read 2 more answers

A large room has a temperature of 70 degrees Fahrenheit. When a cup of tea is brought into the room, the tea has a temperature o

masya89 [10]

Answer:

91.3

Step-by-step explanation:

8 0

3 years ago

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

Naya [18.7K]

Answer:

The Area of Δ DFG is 175 cm²

The Area of Δ ABC is 252 cm²

Step-by-step explanation:

Given as :

The Δ ABC is similar to the Δ DFG

The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm²

Let The area of Δ DFG = x cm²

So, The area of Δ ABC = ( 77 + x ) cm²

The ratio of corresponding sides of Δ ABC and Δ DEF = 6 : 5

Let The side AB = 6 y

And The side DE = 5 y

Now, from The property of similar Triangles

$\dfrac{area ABC}{area DFG}$ = $\dfrac{AB^{2} }{DE^{2} }$

I.e $\dfrac{77+x}{x}$ = $\dfrac{(6 y)^{2} }{(5y)^{2} }$

Or, $\dfrac{77+x}{x}$ = $\dfrac{36}{25}$

Or, 25 × (77 + x ) = 36 x

Or, 25 × 77 + 25 x = 36 x

Or, 25 × 77 = 36 x - 25 x

Or, 11 x = 25 × 77

∴ x = $\frac{25\times 77}{11}$

I.e x = 175 cm²

So,The Area of Δ DFG = x = 175 cm²

And The Area of Δ ABC = x + 77 = 175 + 77 = 252 cm²

Hence, The Area of Δ DFG is 175 cm²

And The Area of Δ ABC is 252 cm² Answer

4 0

3 years ago

Which relation is a function?

muminat

C. (8,-2), (-2,5), (6,0) is a function, because all the numbers are different unlike A, B, and D those all have the same number either in there domain or range.

4 0

3 years ago