First substitute .5x in for y to get a solvable equation. You should get 6x+8(.5x)=30. Then multiply 8 times .5 to get 6x+4x=30. Then combine like terms (6x+4x) to get 10x=30 and divide both sides by 10 to get x=3. Then plug this x value (3) into the other equation (y=.5x) to find the value of y. Y=.5(3) so y=1.5. Therefore the answer is B.
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Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
brainly.com/question/11897796
The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Data;
- Amount Budgeted = R80,000
- Cost of each board = R134
<h3>Number of Street Boards in the Budget</h3>
The number of streets boards that can be produced in the budget is calculated by dividing the total amount budgeted by the cost of each street board. This is done mathematically as

We would have a total of 597 street names on the budget with some amount left.
We can calculated this by multiplying 597 by 134 and then subtracting the value from R80,000

The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Learn more on division of numbers here;
brainly.com/question/20301788