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Advocard [28]
3 years ago
11

Which of the following graphs shows the graph of this equation Y+1=2 (x-1)

Mathematics
2 answers:
svetlana [45]3 years ago
7 0

Answer:

Graph D is correct option.

Step-by-step explanation:

Given : Y+1=2 (x-1).

To find : Which of the following graphs shows the graph of this equation .

Solution : We have given that  

Equation : Y+1=2 (x-1)

Distribute 2 over (x-1)

Y+1 = 2x -2

On subtracting both sides by 1

Y = 2x -2 -1.

Y = 2x -3.

We can see the equation in form of point slope form y =  mx + b.

Where, m = slope , b is y -intercept.

Slope  = 2 and y intercept = -3.

We can see from given D graph line cut at -3 on y axis.

Therefore, Graph D is correct option.

olga nikolaevna [1]3 years ago
5 0
Y+1=2(x-1)
y+1=2x-2
y+1-1=2x-2-1
y=2x-3
Graph C is the answer
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Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

cost_1(x) = 0.5*x

For the second option we have:

cost_2(x) = 5000 + 0.1*x

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

cost_1(60000) = 0.5*60000 = 30000

cost_2(60000) = 5000 + 60000*0.1 = 11000

The second option will cost her less than the first one.

7 0
3 years ago
Determine which function has a greater initial value and explain how you know.
murzikaleks [220]

Answer:

Function 2 has a greater initial valueStep-by-step explanation:An initial value of a function, aka y-intercept, is obtained by using x=0 and evaluating the function at that point. Evaluating the two functions given:Function1: Function2 has value 3 for x=0So, Function 2 has a greater initial valueFunction 2 has a greater initial valueStep-by-step explanation:An initial value of a function, aka y-intercept, is obtained by using x=0 and evaluating the function at that point. Evaluating the two functions given:Function1: Function2 has value 3 for x=0So, Function 2 has a greater initial value

Step-by-step explanation:

8 0
2 years ago
(9x^4-3x^3+4x^2+5x+7) + (11x^4-4x^2-11x-9)
icang [17]

Answer:

20x^4 - 3x^3 - 6x - 2

5 0
3 years ago
Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
Vesnalui [34]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solving special systems<br> {y=1/2x+4<br> {-1/2x+y=-5
ryzh [129]

Answer:

no solution

Step-by-step explanation:

Given the 2 equations

y = \frac{1}{2} x + 4 → (1)

- \frac{1}{2} x + y = - 5 → (2)

Substitute y = \frac{1}{2} x + 4 into (2)

- \frac{1}{2} x + \frac{1}{2} x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution

7 0
3 years ago
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