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dangina [55]
2 years ago
6

11. Evaluate: f(x) = x^2 - 2x + 1,

Mathematics
1 answer:
svetlana [45]2 years ago
6 0

Answer:

0

Step-by-step explanation:

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Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)
vesna_86 [32]

Answer:

y=-\frac{1}{9}x-\frac{5}{9}

Step-by-step explanation:

(-14,1)(13,-2)

Use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Use the slope formula first:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))

\frac{-2-1}{13-(-14)}

Simplify parentheses (two negatives makes a positive):

\frac{-2-1}{13+14}

Simplify:

\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}

The slope is -\frac{1}{9}. Insert into the equation:

y=-\frac{1}{9}x +b

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

(13,-2)\\-2=-\frac{1}{9} (13)+b

Solve for b, the y-intercept. Simplify parentheses:

-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}

-2=-\frac{13}{9} +b

Add -\frac{13}{9}  to both sides:

-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9}  +b\\\\-2+\frac{13}{9} =b

Simplify:

-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\  \\b=-\frac{5}{9}

The y-intercept is -\frac{5}{9} . Insert this into the equation:

y=-\frac{1}{9} x-\frac{5}{9}

Finito.

8 0
3 years ago
When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additi
Sauron [17]

Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.

Step-by-step explanation:

Let x represent the number of minutes of long distance call that one makes.

The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be

2.10 + 0.45(x - 3)

Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as

2.10 + 0.45(x - 3) ≤ 6.15

2.10 + 0.45x - 1.35 ≤ 6.15

0.75 + 0.45x ≤ 6.15

0.45x ≤ 6.15 - 0.75

0.45x ≤ 5.4

x ≤ 5.4/0.45

x ≤ 12

4 0
3 years ago
A lawn area of 300 square feet needs 1/2 pound of grass seed. How many pounds of grass sees are needed for a lawn that is 60 fee
DIA [1.3K]
The answer is 2 pounds because 60 times 20 1200 and 1200 divided by 300 is 4 and 1/2 times 4 is 2
7 0
3 years ago
Read 2 more answers
Equation Y equals 7X can be used to find the price of different amounts of honey
Fantom [35]

Answer:

x=y/7

Step-by-step explanation:

So, the variable x is the number of jars of honey.

y is the total price of the honey.

So, x=y/7

or,

y=7x

5 0
3 years ago
Helppppppppppppppppppppppppppppppppppp
Anton [14]
Company A
Income = 35,000 + 0.03x

Company B
Income = 25,000 + 0.05x

set them equal to see how much of sales Julia needs to make the same income at both companies.

30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
 250,000 = x

Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.

So it's the 2nd choice.
4 0
3 years ago
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