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2 years ago

11

When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?

1 answer:

jarptica [38.1K]2 years ago

8 0

Answer:

B , there are infinite solutions.

Step-by-step explanation:

If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.

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Help on A and B porfavor

wel

Answer: n(B) = 8and AnB = 5

Step-by-step explanation:

can i get your insta

7 0

2 years ago

The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

svlad2 [7]

Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

<h2>7000 divided by 28 = 250 </h2>

8 0

2 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

-11=a+7 dolce equation

zubka84 [21]

-11 = a + 7 Given

-7 -7 Subtract 7 on each side to cancel out +7 and isolate variable

-18 = a Answer

Prove.

-11 = -18 + 7 Plug in variable value

-11 = -11

True.

4 0

2 years ago

Read 2 more answers

Question in picture please use the picture and write it down

UkoKoshka [18]

Answer:

Radius is 2.

2πr= 4π

r=4π/2π

r=2

5 0

3 years ago