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evablogger [386]
3 years ago
14

What is the range of the function: {( 1 , 2 ) , ( 2 , 4 ) , ( 3 , 6 ) , ( 4 , 8 )}

Mathematics
2 answers:
muminat3 years ago
8 0
C.
Range is all the outputs or y values.
german3 years ago
6 0
(x,y)
y is normally output or range

collect the 2nd numbers

2,4,6,8
C
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The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for n.​
kolbaska11 [484]

Answer:

144.44 yards

Step-by-step explanation:

The formula to find circumference is: C = π · d

Since we already have most of the factors figured out, we just replace them with what we have.

C = 3.14 · 46 yrds

144.44 = 3.14 · 46

5 0
3 years ago
Solve the equation on the interval [0,2π]
WARRIOR [948]
\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------

\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ -  b \pm \sqrt {  b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}

\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}
3 0
3 years ago
(-10) + 3 = 10 - 3 is true or false??? ​
Goshia [24]

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

<em><u>FALSE</u></em>

3 0
3 years ago
0.4+x(10%)=4.9 solve for x.
SIZIF [17.4K]

Answer:

  x = 45

Step-by-step explanation:

  0.4 + x(10%) = 4.9 . . . . . . given

  x(10%) = 4.5 . . . . . . . . . subtract 0.4

  x = 45 . . . . . . . . . . . . multiply by 10

_____

10 × 10% = 100% = 1

3 0
2 years ago
The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations usin
k0ka [10]
P=2(l+w)
50=2(4+w)
50=8+2w
collect the like terms 50-8=2w
42=2w divide both sides by 2
w=21

6 0
4 years ago
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