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dybincka [34]
4 years ago
15

The equation represents the function f, and the graph represents the function g. f(x)=6x-5

Mathematics
2 answers:
avanturin [10]4 years ago
8 0

Answer:

A. The rate of change of f is twice the rate of change of g.

Step-by-step explanation:

The first function is f(x)=6x-5

The slope of this function is the coefficient of x. It is the same as the rate of change of f(x)

m=6

From the graph, g(x) passes through(-2,-4) and (0,2)

We use the slope formula: \frac{y_2-y_1}{x_2-x_1} to find the slope of g(x).

m=\frac{2--4}{0--2}=\frac{6}{2} =3

Since 6=2(3), we conclude that, the rate of change of f is twice the rate of change of g.

Margaret [11]4 years ago
8 0

Answer:

A

Step-by-step explanation:

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Given that f(x) = 10x + 45, find f(0)
Sergeeva-Olga [200]
Awnser : 45

Explanation : 10(0) + 45 -> 0 + 45 = 45
7 0
2 years ago
The equation(function):10.00+.75x
valentinak56 [21]

Answer:

Answer:

b. -75x+57=-75x+57

Step-by-step explanation:

If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

In option a.

57x+57=-75x-75

57x + 75x = -75 - 57

132x = -132

⇒ x = -1

i.e. it has only one solution,

In option b.

-75x+57=-75x+57

-75x + 75x = 57 - 57

0 = 0  ( True )

i.e. it has infinitely many solution.

In option c.

75x+57=-75x+57

75x + 75x = 57 - 57

150x = 0

⇒ x = 0

i.e. it has only one solution,

In option d.

-57x+57=-75x+75

-57x + 75x = 75 - 57

18x = 18

⇒ x = 1

i.e. it has only one solution.

Step-by-step explanation:

6 0
3 years ago
A theater has 10 seats in the first row and 30 seats in the 6th row. How many seats are in the 11th row?
boyakko [2]

Find the difference per row:

10 seats in the first row

30 seats in the sixth row:

30 -10 = 20 seats difference.

6-1 = 5 rows difference.

20 seats /  5 rows = 4 seats per row.

This means for every additional row, there are 4 more seats per row.

The equation would be:

Sn = S +(n-1)*d

Where d is the difference = 4

S = number of seats from starting row = 10

n = the number of rows wanted

S(11) = 10 + (11-1)*4

S(11) = 10 + 10*4

S(11) = 10 + 40

S(11) = 50

Check:

Row 6 = 30 seats

Row 7 = 30 + 4 = 34 seats

Row 8 = 34 + 4 = 38 seats

Row 9 = 38 + 4 = 42 seats

Row 10 = 42 + 4 = 46 seats

Row 11 = 46 + 4 = 50 seats.

5 0
3 years ago
Erin weighs 135 pounds and is gaining ½ pound each week. Miranda weighs 143 pounds and is losing ¼ pound each week. Write an equ
GuDViN [60]

Answer:

  • 10.66 weeks

Step-by-step explanation:

<u>Number of weeks is x</u>

  • 135 + 1/2x = 143 - 1/4x
  • 1/2x + 1/4x = 143 - 135
  • 3/4x = 8
  • x = 32/3 = 10.66 weeks
5 0
3 years ago
Read 2 more answers
Trying to finish this test at 3:30 am plz help
Angelina_Jolie [31]

Given:

The given sum is:

\sum _{k=4}^9(5k+3)

To find:

The expanded form and find the sum.

Solution:

We have,

\sum _{k=4}^9(5k+3)

The expanded form of given sum is:

\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)

\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)

\sum _{k=4}^9(5k+3)=23+28+33+38+43+48

\sum _{k=4}^9(5k+3)=213

Therefore, the correct option is C.

7 0
3 years ago
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