All categories

3 years ago

Consider the expression2⁶/2³what is the value of the expression?its urgent

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

The value of the expression is 8. I hope this helps!!!

You might be interested in

What is the solution to the inequality below. x(absolute value) <5

jok3333 [9.3K]

Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

8 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

Please help

Vlada [557]

We know that

When we have

$f(x)=ax^2 +bx+c$

Here ,

a is the leading coefficient

c is the constant term

so, we can compare it with

$f(x)=5x^2-7x+6$

so, we get

$a=5,c=6$

so,

leading coefficient is 5

constant term is 6......................Answer

4 0

3 years ago

X + y = -50<br> y = 4x<br><br> Answer (x,y)

svet-max [94.6K]

Answer:

(-10,-40)

Step-by-step explanation:

Here is a picture of the way I did it.

3 0

3 years ago

Help Asap on both question!! will mark Brainliest!

earnstyle [38]

Answer: Answer for 27 , It dropped 38 feet, (down) so -38 feet

Answer for 28, The difference between 4 and -7 is 11

Step-by-step explanation:

25 + 13 = 38 (but it was going down so its negative)

4 + 7 = 11

3 0

3 years ago

Consider the expression2⁶/2³what is the value of the expression?​its urgent

Consider the expression2⁶/2³what is the value of the expression?its urgent