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1 year ago

Find the quotient. Simplify your answer.

Mathematics

1 answer:

brilliants [131]1 year ago

8 0

Let's see

$\\ \rm\Rrightarrow \dfrac{s+1}{s^2+1}\div \dfrac{s^2}{6s^2}$

$\\ \rm\Rrightarrow \dfrac{s+1}{s(s+1)}\div\dfrac{1}{5s^2}$

$\\ \rm\Rrightarrow \dfrac{1}{s}\times{5s^2}$

$\\ \rm\Rrightarrow \dfrac{5s^2}{s}$

$\\ \rm\Rrightarrow 5s$

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To solve the equation 2x−3=3x−7 , Esin graphs the functions f(x)=2x−3 and g(x)=3x−7 on the same set of coordinate axes.

Alecsey [184]

We have that

f(x)=2x−3
g(x)=3x−7

2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
the solution is the point (4,5)

using a graph tool
see the attached figure

statement

case a) The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct

case b) The solution of the equation is the y-intercept of the linear equations.
this is not correct

case c)The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
this is correct

case d) The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct

the answer is
case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.

8 0

3 years ago

There were 180 people in a movie theater. Twenty percent of them received the student discount and 10% received the senior citiz

Morgarella [4.7K]

Total people=180
discount received people=25%+10%=35%
People who did not receive discount=100-35%=65%
65%of 180=65×180/100=117
So 117 people did not receive discount

6 0

3 years ago

Can someone help me with this question ? Show steps please

jek_recluse [69]

Answer:

B) $\boxed{A_T=108\;in^2}$

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

$A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}$

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

$A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}$

Finally, we sum both of the areas found to calculate the total area.

$A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}$

So, the answer is option B).

4 0

2 years ago

The number of candies consumed varies inversely with the number of children present. When 12 children are present,140 pieces of

irinina [24]

Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).

Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.

Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).

"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.

xy = k
(12)(140) = k
1680 = k

Now, when x = 8 children,

8y = 1680
y = 210

5 0

3 years ago

Read 2 more answers

PLEASE HELP ITS DUE REALLY SOON!!!

oksian1 [2.3K]

Answer:

-(5x-21)/6 so d

Step-by-step explanation:

to do inverse functions you want to replace the x in the function with y so x=(21-6y)/5, then solve for y and you will get the answer I got and its d

8 0

2 years ago