The graph shows the cost of parking, y , per hour, x , at a parking garage. The graph is titled Parking Rates. The X-axis is labeled Number of Hours and goes from zero to four by a scale of one. The y-axis is labeled Cost in dollars and goes from zero to eighteen by a scale of two. Five points are shown on the graph. Zero hours, zero dollars. One hour, four dollars. Two hours, eight dollars. Three hours, twelve dollars. Four hours, sixteen dollars. Which equation represents the relationship shown in the graph?

Answers

Answer 1

Answer: The relationship shown in the graph represents a linear equation because the cost of parking increases at a constant rate per hour. To find the equation that represents this relationship, we can use the slope-intercept form of a linear equation:

\[y = mx + b\]

Where:
- $y$ is the cost in dollars (the dependent variable).
- $x$ is the number of hours (the independent variable).
- $m$ is the slope, which represents the rate of change.
- $b$ is the y-intercept, which represents the initial cost when $x$ is zero.

Based on the points provided in the graph:

Point 1: (0 hours, 0 dollars) gives us the y-intercept, so $b = 0$.

Point 2: (1 hour, 4 dollars) allows us to find the slope ($m$) as follows:

So, the equation that represents the relationship shown in the graph is:

\[y = 4x\]

This equation represents a linear relationship where the cost ($y$) is directly proportional to the number of hours ($x$) at a rate of $4 per hour.

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What are the solutions to the following system of equations?y = x2 + 12x + 30
8x − y = 10

(−4, −2) and (2, 5)

(−2, −4) and (2, 5)

(−2, −4) and (5, 2)

No Real Solutions

Answers

y = 8 x - 10
x² + 12 x + 30 = 8 x - 10
x² + 4 x + 40 = 0
and because the discriminant is: D = b² - 4 ac = 16 - 160 = - 144 < 0
answer is: D ) No real solutions

Answer:

no real solutions

Step-by-step explanation:

y = x^2 + 12x + 30

8x − y = 10 are out 2 equations.

1. -8x from both sides in this 8x − y = 10 equation.

we are left with -y=-8x+10. multiply both sides by -1: y=8x-10.

2. Plug in one of the two equations for the other's y variable:

8x-10=x^2 +12x +30.

3. solve: +10 to each side, and -8x from each side:

x^2 +4x + 40 = 0

4. use discriminant formula: b^2-4(a)(c)

(4)^2 - (4)(1)(40): 16-160=-144.

5. Because the answer is negative, there is two complex solutions. But bc in every complex solution there is an imaginary number, and bc imaginary numbers cannot be graphed, the answer is "NO REAL SOLUTIONS."

hope this helps :)

Help me please I don't get it

Answers

Hey Dude Armando Is Correct!

The distribution of the scores on a standardized math exam in a school district is skewed to the right. Which of the following statements is true about this distribution? please hurry timed test

Answers

Show the picture if u can.

X^2+6x=13

What Is The Result After Completing The Square ?

Answers

x^2 + 6x = 13
x^2 + 6x + 9 = 13 + 9
(x + 3)^2 = 22
x + 3 = (+,-) sq rt 22
x = -3 + (sq rt 22) and x = -3 - (sq rt 22)

The problem is in the picture.

Answers

Answer:

an = 5 + 10(n -1)
a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

an = 5 +10(n -1)

___

The 7th term is ...

a7 = 5 +10(7 -1) = 65

PLEASE HELP I WILL GIVE BRAINALIST

Answers

Answer:

1. 300%

2. 108

3. 60

Step-by-step explanation:

Hope this helps!

26. 33.33% is 37 percent of 11

27. 48%

28. 60 seeds

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