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Natasha_Volkova [10]
3 years ago
8

Pls help me I’m struggling

Mathematics
2 answers:
artcher [175]3 years ago
8 0

Answer:

The first one is the answer.

Step-by-step explanation:

T.R.U.S.T.    M.E

Vlada [557]3 years ago
6 0

let's say the amount of people going is "p", whatever value "p" is, we know is more than 50, p > 50.

well, let's say that all of the folks are going in vans, we don't know how many vans are needed, we do know it'll be "k" vans, since each van can only carry 5 folks, the total amount of people going will fit in 5k vans.

let me put it differently, let's say we know 500 folks are going to the zoo, each van can only carry 5 folks each, so to be able to fit in 500 in vans, we need 500/5 = 100 vans, if we had 100 vans, each van carrying 5 folks each, that'll be a total of 500 people going in vans, so "k" will be 100, and the amount going will be 5k.

well, not everyone in "p", which is now 5k, p = 5k, is going together, 10 folks are driving themselves, so, <u>the people going to the zoo is, however many are going in the vans, 5k, plus the 10 driving on their own</u>, + 10, 5k + 10 are going to the zoo, and we know that's more than 50, 5k + 10 > 50.

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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h
Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

7 0
3 years ago
3x+10+x solve for x thank you :)
weeeeeb [17]

Answer:

4x + 10

Step-by-step explanation:

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The equilibrium constant for this system is
blsea [12.9K]

Answer:

a. 9.2 x 10-2 M

Step-by-step explanation:

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3 years ago
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