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Sophie [7]
2 years ago
12

Solve the rational equation quantity 3 times x minus 5 end quantity divided by 7 equals four sevenths. A: f(n) = f(n − 1) ⋅ 0.3

+ 25, n > 0 B: f(n) = 100 − f(n − 1) ⋅ 0.3 + 25, n > 0 C: f(n) = f(n − 1) ⋅ 0.7 + 25, n > 0 D:f(n) = 100 − f(n − 1) ⋅ 0.7 + 25, n > 0
Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

Answer:

2.8 < x -0

Step-by-step explanation:

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Papessa [141]

Step-by-step explanation:

3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,

2y^2 = 12 ---> y^2 = 6

or

y = √6

4.This is an equilateral triangle of side 11 so

y = 11/2

To find x, use the definition of sine 60:

sin 60° = opp/hyp

= x/11

or

x = 11sin60° = (11√3)/2

3 0
3 years ago
The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
Read 2 more answers
\begin{aligned} f(x)&amp;=|x| \\\\ g(x)&amp;=|x - 4| - 4 \end{aligned} f(x) g(x) ​ =∣x∣ =∣x−4∣−4 ​ We can think of ggg as a tran
Katarina [22]

Answer:

It is proved that f(x)g(x)=|x|=|x-4|-4.

Step-by-step explanation:

Given functions are,

f(x)=|x|

g9x)=|x-4|-4

To show,

f(x)g(x)=|x|=|x-4|-4

Consider,

(fg)(x)=f(g(x))=f(|x-4|-4)=||x-4|-4|

now if,

x>4\implies x-4>0 then (fg)(x)=||x-4|-4|=|x-4|-4

x then (fg)(x)=||x-4|-4|=||-(x+4)|-4|=|x+4-4|=|x|

Hence the reslt.

8 0
3 years ago
EAR is rotated 180° about the origin.<br><br> plsss help
olasank [31]

Answer:

rotating ΔEAR 180° inside the right angle parallelogram circumscribed by.

original coordinates:

A (-6, 4)

R (-2, 2)

E (-5, -6)

post rotation coordinates:

  • A (-2, -6)
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5 0
3 years ago
Please help asap <br> will give brainly
BlackZzzverrR [31]

Answer: The perimeter of the new triangle is 16 times the perimeter of the original triangle.

Step-by-step explanation:

6 0
3 years ago
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