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3 years ago

Factor, then solve for "x"

Mathematics

1 answer:

bekas [8.4K]3 years ago

8 0

X^2+5x+6=0
(x+3)(x+2)=0
x-3, x-2

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How do you work out 28.4 x 1.92

Korvikt [17]

Answer:

54.528

Step-by-step explanation:

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4 years ago

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what

Artemon [7]

Answer:

$V=650.25\ yards^3$

Step-by-step explanation:

Given that,

Length = $12\dfrac{3}{4}\ yards$

Width = $5\dfrac{2}{3}\ yards$

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

$V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3$

So, the volume of the swimming pool is equal to $650.25\ yards^3$ .

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3 years ago

A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?

UkoKoshka [18]

Answer:

Step-by-step explanation:

0.36/4.50=0.08=8%

6 0

3 years ago

Read 2 more answers

Prove that sequence an = (3^n)/(2n)! is monotone

krek1111 [17]

When $n=1$ , you have $a_1=\dfrac3{2!}=\dfrac32$ .

When $n=2$ , you have $a_2=\dfrac{3^2}{4!}=\dfrac38$ .

Clearly, $a_1>a_2$ .

Assume $a_k$ . Now when $n=k+1$ , you have

$a_{k+1}=\dfrac{3^{k+1}}{(2k+2)!}=\dfrac3{(2k+2)(2k+1)}\times\dfrac{3^k}{(2k)!}=\dfrac3{(2k+2)(2k+1)}a_k$

Therefore by induction the sequence is monotone (decreasing).

5 0

3 years ago

Find x. please give calculation too. please

ELEN [110]

$log_{2}x -log_{4}x= -2 \\ \\ log_{2}x -\frac{log_{2}x}{log_{2}4}= -2 \\ \\ log_{2}x*(1-\frac{1}{log_{2}4})=-2 \\ \\ log_{2}x*(1-\frac{1}{2})=-2 \\ \\\frac{1}{2}*log_{2}x=-2 \\ \\ log_{2}x=-4, \\ \\ x=2^{-4} = \frac{1}{2^{4}}=0.0625$

5 0

3 years ago