put these into slope intercept form

x + 3y ≤ 8
x + y ≥ 2

Answer: 1/5

Step-by-step explanation:

The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.

First, let's expand both sides of the equation:

2x(x - 8) = (x + 1)(2x - 3)

[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]

Now, combine like terms on the right-hand side:

[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]

Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:

-16x = -4x + 3

Now, bring all the x terms to one side by subtracting -4x from both sides:

-16x + 4x = 3

Simplify the left-hand side:

-12x = 3

Finally, solve for x by dividing both sides by -12:

x = 3 / -12

x = -1/4

So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.

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Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32

Answer:

x= 2, x= -12

Step-by-step explanation:

cuz i said so

first move the 24 to the other side of the equation by subtracting it from both side's

now the equation looks like this

x^2+10x-24

then find values that add to equal 10 and that also multiply to equal -24

this works out to (x-2) (x+12)

which means that x is equal to 2 and -12

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

Proportional relationships are relationships between two variables where their ratios are equivalent.

Inverse variation It is expressed as;

x ∝ 1/r then x = k/y

Where k is the proportionality constant.

Given the data in the question;

First we find the proportionality constant.

x = k/y

4 = k / -9

k = -36

Now, If x = 6 then y = ?

x = k/y

6 = -36 / y

6y = -36

y = -36 / 6

y = -6

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

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Answer:

5

Step-by-step explanation:

A=a+b/2 x h

4 = a

5 = b

8 = h

4 + 5 / 2 = 4.5

4.5 x 8 = 36

So the other base length is 5

Answer:

So that it can run faster

Answer:

[tex]a = change \: in \: v \div time[/tex]

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

Answer:

30

Step-by-step explanation:

[tex] - 6(x - 16) = - 84[/tex]

[tex]x - 16 = 14[/tex]

[tex]x = 30[/tex]

Answer:

1905.9 cubic feet

Step-by-step explanation:

Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height

Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet

Round to nearest tenth - 1905.9 cubic feet

:)

Answer:

6.54498

Step-by-step explanation:

The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Answer:

AB is chord

GF is tangent

DE is diameter

HJ is secant

C is center of the circle

DC is radius

K is point of tangency

AB is arc

Step-by-step explanation:

The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not given, then we can estimate it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.

We're provided that:

Thus, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]

Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

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Answer:

1:8

Step-by-step explanation:

First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.

Answer:

Less than(<)

55% of 60 is 33

60% of 65 is 39

when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.

[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]

note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.

That said, the answer is less than.

Answer:

[tex]\textsf{Slope of line q}: \quad 3[/tex]

[tex]\textsf{Slope of line p}:\quad -\dfrac{1}{3}[/tex]

[tex]\textsf{Equation of line p in slope-point form}: \quad y+5=-\dfrac{1}{3}(x-6)[/tex]

[tex]\textsf{Equation of line p in slope-intercept form}: \quad y=-\dfrac{1}{3}x-3[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given:

Therefore, the slope of line q is 3.

As line p is perpendicular to line q, the slope of line p is the negative reciprocal of the slope of line q.

Therefore, the slope of line p is -1/3

Equation of line p, using the point-slope form, the slope of -1/3 and the point (6, -5):

[tex]\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-(-5) &=-\dfrac{1}{3}(x-6)\\y+5 &=-\dfrac{1}{3}(x-6)\end{aligned}[/tex]

Simplify to slope-intercept form:

[tex]\implies y=-\dfrac{1}{3}x-3[/tex]

Slope of q:-

Perpendicular line's have slopes negative reciprocal to each other

Slope of p

Passes through (6,-5)

Equation in point slope form

Answer:

the question is asking what it is the segment between HB,HG and CG

Step-by-step explanation:

Answer:

452.16 in^3

Step-by-step explanation:

Volume of a cone = 1/3 pi r^2 h

                               = 1/3 (3.14)(6^2) (12)

Answer:

175,424.02

Step-by-step explanation:

multiply 145,117 by 106%

multiply 1800 by 12 (months in a year)

add 21600 to 153,824.02

Step-by-step explanation:

just multiply the 2 together to get the area

it would just be

[tex](5x) \times (2{x}^{2} - 4x + 13)[/tex]

use the distributive property

[tex]10 {x}^{3} - 20 {x}^{2} + 65[/tex]

unless you want to simplify the answer, this would be the answer

simplified, it would be

[tex]5(2{x}^{3} - 4 {x}^{2} + 13)[/tex]

Answer:

A. Answer is 2263.

Checkpoint 1 is -86 Checkpoint 4 is 2177

Subtract -86 from 2177....2177-(-86)   

=2263

2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)

B. 239 FEET.

the altitude of the hill must be subtracted by the depth of the ckeckpoint(2)(-189)

therefore the altitude of the hill comes out to be 428-189=239feet.

therefore,the actual altitude of the hill is 239 feet.

Answer:

80.5

Step-by-step explanation:

The number of ways to elect a Chair and a Vice Chair is 156.

Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:

As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.

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Answer:The number of ways to elect a Chair and a Vice Chair is 156.

Step-by-step explanation:

Answer:

y=-1/4x+9/4

Step-by-step explanation:

Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)

4 turns into -1/4

To get the y-intercept, plug in the given coordinate values into this formula:

y=mx+b

3=-3(-1/4)+b

3-3/4=b

b=9/4

b is our y-intercept

9/4 is our y-intercept

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]

so therefore

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]

so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]

Answer:

yes

Step-by-step explanation:

4:8 and 3:6 when simplified gives the same result which is 1:2

Answer:

A.) Yes, they do catch fish at the same rate.


Daniel:
4 : 8


Lester:
3 : 6



Both of these ratios have a rate of 1 catfish for every 2 trout. Daniel has just caught 1 more catfish and 2 more trout.

4 - 1 = 3
8 - 2 = 6

Both have a rate of catching 1 catfish for every 2 trout.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Equation B is the same as Equation A + 2

Step-by-step explanation:

To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.

Equation B: 5x+x=x-4.

Equation A: 5x-2+x=x-4.

Simplifying equation A to be in the form of equation B:

5x -2 + x = x - 4

Adding 2 to both sides:

5x + x -2 + 2 = x - 4 + 2

5x + x = x - 4 + (+2)

= equation A + 2

But 5x+x=x-4 = equation A

Therefore Equation B is the same as Equation A + 2

Answer:

see below

Step-by-step explanation:

3 green   for  5   red

then   3 out of (3+5)   are green   ... or  3/8 are green

3/8 * 160 = green         = 60 green

Answer:

60 green candies

Step-by-step explanation:

We know the proportion :

Let's make a linear equation where candies is denoted by x.

Number of green

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)