All categories

3 years ago

Which equation does the graph below represent

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

Answer:

y=1/2+x

1Beacuxse the negative is the postivw

You might be interested in

A lake polluted by bacteria is treated with an antibacterial chemical. Aftertdays, thenumber N of bacteria per milliliter of wat

jeyben [28]

Answer:

N(1)=50 is a minimum

N(15)=4391.7 is a maximum

Step-by-step explanation:

<u>Extrema values of functions </u>

If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.

We are given a function (corrected)

$N(t) = 20(t^2-lnt^2)+ 30$

$N(t) = 20(t^2-2lnt)+ 30$

(a)

First, we take its derivative

$N'(t) = 20(2t-\frac{2}{t})$

Solve N'(t)=0

$20(2t-\frac{2}{t})=0$

Simplifying

$2t^2-2=0$

Solving for t

$t=1\ ,t=-1$

Only t=1 belongs to the valid interval $1\leqslant t\leqslant 15$

Taking the second derivative

$N''(t) = 20(2+\frac{2}{t^2})$

Which is always positive, so t=1 is a minimum

(b)

$N(1)=20(1^2-2ln1)+ 30$

N(1)=50 is a minimum

(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15

(d)

$N(15)=20(15^2-2ln15)+ 30$

N(15)=4391.7 is a maximum

7 0

3 years ago

how to solve this prroblem by marianne buys 16 bags of potting soil that come in 5÷8_pound bags .how many pounds of potting soil

barxatty [35]

So, she buys 16 bags, each of them weights $\frac{5}{8}$ pounds.

to find how many pounds of soil she bought, we have to multiply:

16* $\frac{5}{8}$ =//16 is equal to 8*2, so we can simpify:
2* $\frac{5}{1}$

which is 2*5=10

so in the end she bought 10 pounds of soil!

3 0

3 years ago

Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box.

stealth61 [152]

Answer:

The coordinates of ABCD after the reflection across the x-axis would become:

A'(2, -3)

B'(5, -5)

C'(7, -3)

D'(5, -2)

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

x-coordinate of the point does not change, but

y-coordinate of the point changes its sign

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y) → P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y) → P'(x, -y)

A(2, 3) → A'(2, -3)

B(5, 5) → B'(5, -5)

C(7, 3) → C'(7, -3)

D(5, 2) → D'(5, -2)

Therefore, the coordinates of ABCD after the reflection across the x-axis would become:

A'(2, -3)

B'(5, -5)

C'(7, -3)

D'(5, -2)

8 0

3 years ago

In circle Z, what is m∠2? 70° 133° 140° 147°

sattari [20]

Answer:

140

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

1. Darey has 8 pints of milk. If he drinks of a pint of milk each day, how long will the 8 pints of milk last him?

vichka [17]

8 days because 1 pint for each day

8 0

3 years ago

Read 2 more answers