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3 years ago

A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?

Mathematics

1 answer:

mote1985 [20]3 years ago

6 0

Answer:

1000

Step-by-step explanation

200+200=400

500+500=1000

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Without sketching the graph of the function, find the maximum value of y = - 5x + 4 over the interval - 4 <= x <= 3. Expla

yKpoI14uk [10]

Answer:

$y_{max}=24$

Step-by-step explanation:

Given function $y=-5x+4$ is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is $-5.$ Since the slope is negative, the linear function is decreasing for all x. This means

$\text{ if } x_1 f(x_2)$

You ar geven the interval $-4\le x\le 3.$ So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.

At x=-4,

$y=-5\cdot (-4)+4=20+4=24.$

3 0

3 years ago

Rita earned 20 points on a quiz. She lost 5 points for poor penmanship , then earned 10 points of extra credit. What’s Rita’s fi

Marina CMI [18]

20 - 5 is her score after losing points:

15

Now, 15 + 10 is her score after her extra points.

25 points

Hope this helps!

6 0

3 years ago

Read 2 more answers

Please help:) with my math it’s Quadratic Functions

vaieri [72.5K]

Answer:

Part A: 2531.25; It means the maximum amount of profit that can be obtained at a specific amount of price reduction (x-value) for the shirts' market price.

Part B: (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.

Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.

Step-by-step explanation:

Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.

$y=a(x-2.5)^{2} +2531.25\\$

$0=a(25-2.5)^{2} +2531.25\\$

$a(22.5)^{2} =-2531.25$

$506.25a =2531.25$

$a=-5$

$y=-5(x-2.5) ^{2}+2531.25$

$y=-5(0-2.5)^{2} +2531.25$

$y=-31.25+2531.25$

$y=2500$

y-intercept: $(0,2500)$

The graph only has a zero if the function touches the x-axis, also known as the line, $y=0$ . In this case the graph does intersect the x-axis at the point, $(25,0)$ . Therefore, it has a zero, and the value of the x coordinate at the zero is 25. This value represents the profit generated from reducing the price of each shirt by $25, which is $0. Therefore, this also represents the original price of each shirt without any price reduction, since there is no profit made by completely reducing the price of each shirt at that specific point in the graph, which is 25 or $25. Therefore, this displays that.