Find the roots of each equation by factoring

Answer:

5 1/8

Step-by-step explanation:

4 + 3/4 + 3/8 =

3/4 + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/8 + 4 = 5 1/8

Answer:

Toral weight is 46 kilograms

Answer:

i think it would be 3/5 chance of a colorblind kid with dark hair

Step-by-step explanation:

brainliest please

Answer:

Step-by-step explanation:

It has already been answered on the picture.

Answer:

.52

Step-by-step explanation:

sorry

The rate of change of the crop's seed production is given by differential of

the function of the number of seeds produced.

Reasons:

[tex]\displaystyle \mathrm{The \ number \ of \ seeds \ per \ plant, \ S(t)}= \mathbf{\frac{t^2}{4}}[/tex]

[tex]\displaystyle \mathrm{Plants \ that \ mature \ to \ age \ t, \ P(t)}= \mathbf{40.56- \frac{t^2}{4} + \frac{1,801.75}{t^2} +\frac{188.8}{t}}[/tex]

The number of seeds produced by all the plants, n = S(t) × P(t)

Which gives;

[tex]\displaystyle \mathrm{\ P(t) \times S(t)}= \left(40.56- \frac{t^2}{4} + \frac{1,801.75}{t^2} +\frac{188.8}{t}\right) \times \frac{t^2}{4}[/tex]

[tex]\displaystyle \mathrm{ \left(40.56- \frac{t^2}{4} + \frac{1801.75}{t^2} +\frac{188.8}{t}\right) \cdot\frac{t^2}{4}} = \mathbf{-0.0625\cdot t^4+10.14\cdot t^2 + 47.2 \cdot t + 450.4375}[/tex]

The maximum rate of change is the highest value of the rate of change function.

To find the maximum rate of change of the crops production, the above

function for the number of seeds is differentiated twice. The first

differentiation is to find the rate of change function, and the second

differentiation is to determine the value of t at the maximum rate of change

as follows;

The rate of change of the crop's seed production is given by following function;

[tex]\displaystyle \frac{d}{dt} \left( -0.0625\cdot t^4+10.14\cdot t^2 + 47.2 \cdot t + 450.4375 \right) = -0.25\cdot t^3+ 20.28 \cdot t - 47.2[/tex]

Rate of change function, n'(t) = -0.25·t³ + 20.28·t + 47.2

At the maximum value of the above rate of change function, we have

[tex]\displaystyle \frac{d}{dt} \left( -0.25\cdot t^3+ 20.28 \cdot t - 47.2 \right) = \mathbf{-0.75 \cdot t^2 + 20.28} = 0[/tex]

Which gives

[tex]\displaystyle t^2 = \frac{20.28}{0.75} = \mathbf{27.04}[/tex]

t = √27.04 = 5.2

At the maximum rate of change, the number of weeks, t = 5.2

Plugging in the value of  t = 5.2 into the rate of change function gives;

n'(5.2) = -0.25·5.2³ + 20.28·5.2 + 47.2 = 117.504

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Answer:

218

Step-by-step explanation:

6*6*6 = 216

216+9 = 225

225-7 = 218

Hello there.

First, assume the numbers [tex]x,~y[/tex] such that they satisties both affirmations:

With these informations, we can set the following equations:

[tex]\begin{center}\align x^2+y^2=8\\ x\cdot y=4\\\end{center}[/tex]

Multiply both sides of the second equation by a factor of [tex]2[/tex]:

[tex]2\cdot x\cdot y = 2\cdot 4\\\\\\ 2xy=8~~~~~(2)^{\ast}[/tex]

Make [tex](1)-(2)^{\ast}[/tex]

[tex]x^2+y^2-2xy=8-8\\\\\\ x^2-2xy+y^2=0[/tex]

We can rewrite the expression on the left hand side using the binomial expansion in reverse: [tex](a-b)^2=a^2-2ab+b^2[/tex], such that:

[tex](x-y)^2=0[/tex]

The square of a number is equal to [tex]0[/tex] if and only if such number is equal to [tex]0[/tex], thus:

[tex]x-y=0\\\\\\ x=y~~~~~~(3)[/tex]

Substituting that information from [tex](3)[/tex] in [tex](2)[/tex], we get:

[tex]x\cdot x = 4\\\\\\ x^2=4[/tex]

Calculate the square root on both sides of the equation:

[tex]\sqrt{x^2}=\sqrt{4}\\\\\\ |x|=2\\\\\\ x=\pm~2[/tex]

Once again with the information in [tex](3)[/tex], we have that:

[tex]y=\pm~2[/tex]

The set of solutions of that satisfies both affirmations is:

[tex]S=\{(x,~y)\in\mathbb{R}^2~|~(x,~y)=(-2,\,-2),~(2,~2)\}[/tex]

This is the set we were looking for.

If Lucky received 56 of 180 votes cast, she received 56.  The answer is in the question.

Answer:

  MN = 56

Step-by-step explanation:

This can only be solved if we know the relation of MN to other dimensions of the trapezoid. If we assume MN is a midline (AM=MD, BN=NC), then MN is the average of the base lengths:

  MN = (AB +CD)/2

  2MN = AB +CD . . . . . multiply by 2

  2(12x -4) = 8x +72 . . . fill in the given values for the segment lengths

  24x -8 = 8x +72 . . . . . eliminate parentheses

  16x = 80 . . . . . . . . . . . add 8-8x

  x = 5 . . . . . . . . . . . . . . divide by 16

  MN = 12(5) -4 = 56 . . . find the length of MN using its formula

Answer:

n = -31.5

Step-by-step explanation:

let 'n' = the number

n/-1.5 = 21

to solve for 'n', multiply each side by -1.5 to get:

n = -31.5

Answer:

It would equal 6 hours

Step-by-step explanation: you would have to divide 150 and 2 1/2 and get 60 then dovide by 360 and you will get 6 as in 6 hours

Answer:

9000 grams

Step-by-step explanation:

1 kilogram = 1000grams

9 kilograms = 9000 grams

Answer: d) 19.8 pounds

Step-by-step explanation:  (1000)(9 kilograms) = 9000 grams. And yes 9 kilograms does equal to 9000 grams but that isn't the correct answer. Also kilograms isn't equal to b) 9000 ounces, and c) 19.8 ounces even though ounces are apart of the household measurement system because 9 kilograms is equal to 317.466 ounces. (35.274)(9 kilograms) = 317.466 ounces. So the obviously only correct answer is d) 19.8 pounds because 9 kilograms is equal to 19.8 pounds. (2.205)(9 kilograms) = 19.8416 pounds.

Answer:

fraction is 175/200

that is the fraction I don't know what anything else is

Answer:

Step-by-step explanation:

Find the total number of people

Total = those voting + those not voting

Total = 42 + 58

Total = 100

Find the % voting

% = voting * 100/ total = 42 * 100 / 100 = 42%

Answer:

  2.1

Step-by-step explanation:

The digit in the second decimal place is 5, which is more than 4. That means 1 must be added to the digit in the first decimal place when you do the rounding.

  2.05... rounds to 2.1

Answer:

2.1

Step-by-step explanation:

The digit in the second decimal place is 5, which is more than 4. That means 1 must be added to the digit in the first decimal place when you do the rounding.

Answer:

the number is 8

Step-by-step explanation:

8-3=5

6•5=30>24

expression: 6(x-3)>24

Answer:

it's 3

Step-by-step explanation:

The slope is rise/run, so up 3, over 1.

Answer:

12$/D

Step-by-step explanation: 20% of 10 = 2

he spends 10 so -10 then sells for 120% of that which is 12

so, 10+2= 12

Answer:

b.

Step-by-step explanation:

po dahil 66 ang 0 to 10 or c

Answer:

y=-13+9x

Step-by-step explanation:

We can add 18x to both sides:

2y-18x=-26 -> 2y=-26+18x

And then divide by 2:

2y/2=-26/2+18x/2 -> y=-13+9x.

Answer:

Step-by-step explanation:

2

Answer:

2

Step-by-step explanation:

Answer:

The equation of a line is written in the form y=mx+b. “m” is the slope and “b” is the y-intercept. With the given slope, the equation so far is y=-4x+b. To find the value of b, substitute the given point.

-12=-4(10)+b

-12=-40+b

28=b

So, the equation of the line is y=-4x+28.

:)

Answer:

x ⋅ ( 2 x ) + 6 < 8 = 2 x 2 + 6 < 8

2 x + 8 > 12 = 2 x 2 + 6 < 8

Step-by-step explanation:

Step-by-step explanation:

Find slope

m = (y2 - y1)/(x2 - x1)

m = (-9 - 5)/(4 - 8)

m = -14/-4

m = 7/2

Slope → 7/2