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Natali5045456 [20]

3 years ago

13

9) Which two ratios form a proportion? A) 5 6 and 4 5 B) 6 5 and 4 5 C) 12 15 and 5 4 D) 15 12 and 5 4

1 answer:

Sveta_85 [38]3 years ago

3 0

Answer:

D) 15/12 and 5/4

Step-by-step explanation:

Because when you cross multiply the ratios

15*4 and 12*5

making both ratios a proportion

they both = 60

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Solve for x: (3x−2)(2x+3)=0

Zanzabum

<span>(3x−2)(2x+3)=0
</span><span>(3x−2)=0; x = 2/3
</span><span>(2x+3)=0; x = -3/2

answer
x = -3/2 and x = 2/3</span>

3 0

3 years ago

Read 2 more answers

Ill give brainliest<br> please help with these formulas!! (show work)

lesya692 [45]

Answer:. for number 1 is height

Step-by-step explanation:

4 0

3 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

4 years ago

(3x^4y^5) ^ 3/7 in radical form

kobusy [5.1K]

The expression in radical form is $(\sqrt[7]{3x^4y^5}) ^3$

In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.

According to the law of indices,

$a^{m/n} = \sqrt[n]{m}$

Given the indices $(3x^4y^5) ^ {3/7}$

Comparing with the general formula, we will see that:

m = 3

n = 7

a = $3x^4y^5$

Applying the law of indices:

$(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3$

Hence the expression in radical form is $(\sqrt[7]{3x^4y^5}) ^3$

Learn more here: brainly.com/question/6755932

3 0

2 years ago

What’s slope in this graph?

aniked [119]

Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D

4 0

3 years ago