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3 years ago

Why is 4/5 closer to 1 than 5/4

Mathematics

2 answers:

pshichka [43]3 years ago

7 0

It isn’t. They are both 1/5 away from being 1.

Sergio [31]3 years ago

4 0

4/5=0.8 1-0.8= 0.2

5/4= 1.25 1.25-1= 0.25

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Solve the given equation over the interval [0, 2π): csc^2 x + 2 csc x = 0.

Anastaziya [24]

$csc^2x+2cscx=0$
Factor out the GCF which is csc x
$cscx(cscx+2)=0$
Set each factor equal to zero.
$cscx=0$ or $cscx+2=0$
Using the reciprocal sine function we can replace csc in the equations.
$\frac{1}{sinx} =0$ or $\frac{1}{sinx} +2=0$
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8 0

3 years ago

Which of these terms does not describe polygon A'B'C'D?

chubhunter [2.5K]

I can’t answer if you don’t show the multiple choice...

5 0

3 years ago

Read 2 more answers

What is the value of 4

Stells [14]

The value of 4 is in the ones place

8 0

3 years ago

Does the point (6,3) satisfy the equation y = 4(x – 5)?

Darina [25.2K]

Answer:

Step-by-step explanation:

plug (6,3) into the given equation to find out

3 = 4(6-5)

3 = 4(1)

3 = 4

since 3 does not equal 4, the point (6,3) does not satisfy the equation y=4(x-5)

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4 years ago

when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that

natima [27]

$f(x)=(x-2)(x-3)Q(x)+ax+b$

Recall the polynomial remainder theorem: the remainder upon dividing a polynomial $p(x)$ by $x-c$ is equal to $p(c)$ . This means that $f(2)=4$ and $f(3)=7$ , which tell us

$4=2a+b$

$7=3a+b$

From here we can solve for $a,b$ :

$4=2a+b\implies b=4-2a$

$7=3a+b=3a+(4-2a)\implies a=3\implies b=-2$

so that

$f(x)=(x-2)(x-3)Q(x)+3x-2$

Now,

$\dfrac{f(x)}{(x-2)(x-3)}=Q(x)+\dfrac{3x-2}{(x-2)(x-3)}$

so the remainder upon dividing $f(x)$ by $(x-2)(x-3)$ is $3x-2$ .

Next, if $f$ is a cubic function, then $Q(x)$ is a linear polynomial that can be written as $Q(x)=cx-d$ . The coefficient of $x^3$ in $f(x)$ is 1 (unity), so that expanding $f(x)$ gives us