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Pachacha [2.7K]
3 years ago
15

Im getting an answer that i dont know if its correct so pls help me

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
\bf \begin{array}{llll}
18x-y=24&\implies &\quad 18x-y=24\\
9x+4y=-15&\boxed{\times -2}\implies &-18x-8y=30\\
&&--------\\
&&\qquad 0-9y=54
\end{array}\\\\
-----------------------------\\\\
-9y=54\implies y=\cfrac{54}{-9}\implies \boxed{y=-6}
\\\\\\
\textit{now, let's use that "y" in the first equation}
\\\\\\
18x-(-6)=24\implies 18x+6=24\implies 18x=18\implies \boxed{x=1}
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O. Find the domain and range of each of the three restricted functions.
Orlov [11]

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0
1 year ago
Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1
jek_recluse [69]

Answer:

S_{31}=71.3


Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

U_n=a_1+(n-1)d


We were given that the 9th term is 17.


\Rightarrow 17=a_1+(9-1)(-2.1)


\Rightarrow 17=a_1+(8)\times(-2.1)


\Rightarrow 17=a_1-\frac{84}{5}


\Rightarrow 17+\frac{84}{5}=a_1


\Rightarrow a_1=\frac{169}{5}


The sum of the first n-terms is given by the formula,


S_n=\frac{n}{2}(2a_1+(n-1)d)


To find S_{31}, we substitute n=31, a_1=\frac{169}{5} and d=-2.1.


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))



\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})


\Rightarrow S_{31}=\frac{713}{10}


\Rightarrow S_{31}=71.3


The correct answer is D















8 0
3 years ago
Read 2 more answers
Drew jumped farther than all 4 students above but jumped shorter than 7 feet , 7 inches. How far could drew have jumped? Write s
S_A_V [24]
<h3>The distance covered by Drew in long jump is either 7 ft 5 inches OR 7 ft  6 inches.</h3>

Step-by-step explanation:

Here, the needed table is attached for the reference.

Now, as we can see from the table:

The distance covered by  Cindy  = 2 yards, 1 foot 3 inches

The distance covered by  Tyrette   =  7 feet, 2 inches

The distance covered by Nina   =   2 yards, 1 foot, 1 inch

The distance covered by  Monique   = 7 feet, 4 inches

As we know : 1 yard  =  3 feet

So, the distance covered  by :

Cindy  =  2 yards, 1 foot 3 inches = 3 ft x (2)  + 1 ft +  3 in  = 7 ft 3 in

Tyrette   =  7 feet, 2 inches

Nina   =   2 yards, 1 foot, 1 inch  = = 3 ft x (2)  + 1 ft +  1 in  = 7 ft 1 in

Monique   = 7 feet, 4 inches

So by comparing all distances, we can see that:

The maximum distances jumped by all four  is 7 ft 4 inches.

The distance covered by Drew is less than 7 ft 7 in.

So, he must have jumped 7 ft 5 inches OR 7 ft  6 inches.

Hence, the distance covered by Drew in long jump is either 7 ft 5 inches OR 7 ft  6 inches.

4 0
3 years ago
What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?
zmey [24]

Answer:

<h2>y = 3.5x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<h3>y = mx + b</h3>

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

<h3>y = mx - 2</h3>

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

12 = 4m - 2         <em>add 2 to both sides</em>

14 = 4m       <em>divide both sides by 4</em>

14/4 = m → m = 3.5

5 0
3 years ago
Read 2 more answers
Is (2, 5) a solution to this system of inequalities?<br><br> 4x + 2y &gt; 18<br> 13x + y ≤ 7
Alborosie

Answer: 4x + 2y > 18 (not sure though)

Step-by-step explanation:

5 0
3 years ago
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