3 to the power of 2 divided by 3 plus 2 to the power of 2 times 7 minus 20 divided 5

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X ∈ ∅

Answer:

{all numbers less than 2}

Step-by-step explanation:

x cannot be greater than 2, because it would go over 7

Answer:

{all numbers less than 2}

Step-by-step explanation:

x can only be 2 or lower to make the sentence true

Answer:

D. It is a function, but it is not one-to-one.

Step-by-step explanation:

A function means that each x value has only 1 y value assigned to it.

It is not one-to-one because the x value 0 does not have any y value assigned to it. This is called an asymptote.

Answer:

0.85 = 85%

Multiply 0.85 by 100 to get 85 percent

Answer:

856.3

Step-by-step explanation:

Answers:

==============================================

Explanation:

The notation 5^2 is the same as writing [tex]5^2[/tex]

The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25

As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.

Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").

The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Answer:

14.76482306

Step-by-step explanation:

distance equals the square root of (x2-x1)^2 + (y2-y1)^2.

think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.

Answer:

If there were only 100 students, there would be enough food for 3 days.

Step-by-step explanation:

Set up an equation:

Variable x = number of days

150/5 = 100/x

Cross multiply:

150 × x = 5 × 100

150x = 500

x = 3.3333...

Round down to a whole number which represents a full day of food.

x = 3

Answer:

In transformations a reflection across the x axis produces a mirror image.

Step-by-step explanation:

Given,

D = 1/4

B = 2/3

to find the length of DB,

DB = 1/4+2/3

= 11/12

Answer:

Step-by-step explanation:

I THINK ITS THE 3ED TO THE RIGHT

Answer:

Answer is 6.8.

Hope it helps

Answer:

12

Step-by-step explanation:

the Andrew's going to be 12 because you have to

know all the sides of cube

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]

Answer:

Convert to a decimal by dividing the numerator by the denominator.

$1.15 = Estimate.

pens per then .

Step-by-step explanation:

14 Divided 12.44

Answer:

2.56

Step-by-step explanation:

2 divided by 512

2 lol

Answer:

Q1. $2.56

Q2. 2 fluid ounces

Step-by-step explanation:

Q1. $5.12÷2=$2.56

Q2. 2 fluid ounces (inferred from qn)

Answer:

333  cubic meters of water are used each day by one person

Step-by-step explanation:

Answer:

[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

Answer:

408

Step-by-step explanation:

Surface area formula is A=2(wl+hl+hw)

Substituting these values into the formula you would get

2·(3·8+4·8+4·3)=136

136 accounts for one rectangular prism.

Since you have 3 multiply 136 by 3 which would leave you with 408

Answer:

280 in²

Step-by-step explanation:

The opposite faces are congruent , then surface area (SA ) is

SA = top/ base + front/ back + 2 sides

note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in

   SA  = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)

         = 2 × 32 + 2 × 72 + 2 × 36

        = 64 + 144 + 72

      = 280 in²

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

[tex]44f - 12[/tex]

Step-by-step explanation:

[tex] - 10f - 6( - 9f + 2)[/tex]

[tex] - 6( - 9 + 2)[/tex]

[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]

[tex]6 \times 9f - 6 \times 2[/tex]

[tex]54f - 6 \times 2[/tex]

[tex]54f - 12[/tex]

[tex] - 10f + 54f[/tex]

[tex]( - 10 + 54)f[/tex]

[tex] = 44f - 12[/tex]

Answer: shoot proofs

Step-by-step explanation:

Answer: 17

Hello,

Step-by-step explanation:

n is divisible by 4.

n +1 is divisible by 5

n + 2 is divisible by 6

n <1000

[tex]\left\{\begin{array}{ccc}n&=&4*k_1\\n+1&=&5*k_2\\n+2&=&6*k_3\\\end{array}\right.\\\\4*k_1+1=5k_2\Longrightarrow\ k_2=\dfrac{4k_1+1}{5} \Longrightarrow\ k_1=1+5*t\ , k_2=1+4*t\\\\4*k_1+2=6k_3\Longrightarrow\ k_3=\dfrac{4(1+5t)+2}{6} \Longrightarrow\ k_3=1+\dfrac{10*t}{3} \\\\\Longrightarrow\ t=3z\\k_3=1+10z\\n+2=6(1+10z)\\n=4+60z\\\\1000 < 4+60z \Longrightarrow\ z \leq 16\\[/tex]

There are 17: from 4+0*60=4 to 4+16*60=964.

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

Answer:

It is (x - 2y)/xy

Step-by-step explanation:

[tex] \frac{1}{y} - \frac{2}{x} [/tex]

carry out LCM method:

LCM of y and x is xy

[tex] = \frac{x - 2y}{xy} [/tex]

Answer:

It is 4y = -3x + 9

Step-by-step explanation:

[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]

since it is parallel, its slope, m is -¾

[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]

at x-intercept, y is zero

[tex]2 = \frac{2}{3} x \\ x = 3[/tex]

therefore

[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]

equation is

[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]

Answer:

[tex] \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you[/tex]

Answer:

-4/3

Step-by-step explanation:

[tex]\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}[/tex]