Find the value of c so that the polynomial p is divisible by (x+2)

Answer:

Greater than 90 miles

Step-by-step explanation:

Use the triangle inequality theorem, since the cities form a triangle.

This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.

We can find what the length of the third side has to be greater than by subtracting 97 from 187:

187 - 97

= 90

So, the distance has to be greater than 90 miles.

Incomplete question. The missing question read;

Which of the following best describes why a matched-pairs design is an appropriate design for the investigation?

a. Each graduate was randomly assigned to one method.

b.  The law schools were randomly selected.

c.  Each method served as a block.

d.  The sample size was less than 30.

e.  Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.

Answer:

e.  Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.

Step-by-step explanation:

Note, the matched pairs design is typically used when the experiment has two independent variables (treatment conditions), so the subjects of the experiment are grouped into pairs based on some common variable relationship they have before been randomly assigned to the treatment conditions.

In this case, the graduates were paired within each law school and randomly assigned to one of the two methods (the two treatment conditions).

This is the same as saying x = 3 and x = 7.

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

Work Shown:

Plug x = 3 into f(x)

f(x) = (1/2)*|x-3| + 3

f(3) = (1/2)*|3-3| + 3

f(3) = 0.5*|0| + 3

f(3) = 0.5*0 + 3

f(3) = 0 + 3

f(3) = 3

-----------------------

Plug x = 5 into f(x)

f(x) = (1/2)*|x-3| + 3

f(5) = (1/2)*|5-3| + 3

f(5) = 0.5*|2| + 3

f(5) = 0.5*2 + 3

f(5) = 1 + 3

f(5) = 4

-----------------------

Plug x = 7 into f(x)

f(x) = (1/2)*|x-3| + 3

f(7) = (1/2)*|7-3| + 3

f(7) = 0.5*|4| + 3

f(7) = 0.5*4 + 3

f(7) = 2 + 3

f(7) = 5

-----------------------

Plug x = 3 into g(x)

g(x) = sqrt(x-3) + 3

g(3) = sqrt(3-3) + 3

g(3) = sqrt(0) + 3

g(3) = 0 + 3

g(3) = 3

-----------------------

Plug x = 5 into g(x)

g(x) = sqrt(x-3) + 3

g(5) = sqrt(5-3) + 3

g(5) = sqrt(2) + 3

g(5) = 1.414214 + 3

g(5) = 4.414214 ..... which is approximate

-----------------------

Plug x = 7 into g(x)

g(x) = sqrt(x-3) + 3

g(7) = sqrt(7-3) + 3

g(7) = sqrt(4) + 3

g(7) = 2 + 3

g(7) = 5

-----------------------

To summarize everything, refer to the table below.

The rows highlighted in yellow refer to when f(x) = g(x)

This happens twice when x = 3 and x = 7

If x = 3, then f(x) = g(x) = 3

If x = 7, then f(x) = g(x) = 5

Therefore, x = 3 and x = 7 are two solutions to f(x) = g(x)

Answer:25°

Step-by-step explanation:

tanθ= 35/72

Answer:

-4.834 / 73

Step-by-step explanation:

Two points: (2007, 84.134) and (2080, 79.300)

Use the slope formula.

m = y2-y1/x2-x1

m = 79.300 - 84.134 / 2080 - 2007

m = -4.834 / 73

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = [tex]10\times 10\times 10\times 9 = \bold{9000}[/tex]

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = [tex]1\times 8\times 8\times 7 = \bold{448}[/tex]

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(E) = \dfrac{448}{9000} =\bold{0.0498}[/tex]

Answer:

x=-3/4n

Step-by-step explanation:

first, remove the parenthesis.

-3(x + n) = x

-3x -3n = x

collect like terms.

-3x - x = 3n

divide both sides.

-4 = 3n

and therefore,

x= -3/4n

Answer:

Step-by-step explanation:

Answer:

The answer is 2/3

Step-by-step explanation:

2/3 = 0.6666666666... with it repeating forever

Answer:

2/3

Step-by-step explanation:

The answer you selected is correct.

The decimal form of 2/3 is 0.66666666 (it repeats forever), unlike the other three:

3/4 = 0.75

4/5= 0.80

7/8= 0.875

Answer:

x^2 + 4x + 12 + [tex]\frac{30}{x-2}[/tex]

Step-by-step explanation:

idrk how to explain this one and im on a computer so i cant take a picture of my work but just divide lol

divide like you would with normal division kinda lol

hope this helps <3

Answer:

thirsty

Step-by-step explanation:love pionts

Answer:

y = 2x - 5

I hope this helps!

Answer:

2.828 (the square root of 8)

Step-by-step explanation:

2.828 squared is 8, which is also the square root of 64

The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

_² = √64

Let the missing number be x:

Then, the equation becomes:

x² = √64

√64 = √(8x8) = 8

x² = 8

The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

x = ±√8

x = ±2√2

Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

The equation to find the cost of repairing a TV is:

y = 25x + 40

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

Given that the TV chairman charges $40 to come out to your house and check the TV  plus $25 per hour of labor.

It means $40 is the y-intercept because it represents the starting point/condition of the repairman.

Let 'x' be the number of hours and y be the cost.

The rate of change = 25$ per hour of labor

Thus, m = 25

Hence, the slope-intercept form of the line equation becomes

y = mx+b

substituting m = 25 and b=40

y = 25x + 40

Therefore, the equation to find the cost of repairing a TV is:

y = 25x + 40

Validation:

y = 25x + 40

putting x = 1 to determine the cost if labor works for 1 hour.

y = 25(1) + 40 = $65

putting x = 2 to determine the cost if labor works for 2 hours.

y = 25(2) + 40 = $95

Answer:

let he takes x ride in total

1

$15 + 1.25x = $40

on solving

1.25x = 40 -15

1.25x=25

x=25/1.25 = 20

He can go on 20 rides.

Step-by-step explanation:

Recall that

sin²(θ) + cos²(θ) = 1

for all θ, and given that cos(θ) < 0, we find that

cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5

Now,

csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2

and

cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2

Answer: 49cm squared *tiney 2 above cm*

Step-by-step explanation:

Answer:

(a) Percentage of girls = 55[tex]\frac{5}{7}[/tex]

(b) Percentage of boys = 44[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

To find percentage, we multiply the fraction out of the total by 100%.

Percentage of girls = [tex]\frac{780}{1400}[/tex] × 100%

                                = 55[tex]\frac{5}{7}[/tex]

Percentage of boys = [tex]\frac{1400-780}{1400}[/tex] × 100%

                                 = 44[tex]\frac{2}{7}[/tex]

Answer:

32 students were present.

Step-by-step explanation:

To find out how many students were present in class 8, we have to find out how many students were absent first.

As the question has already provided us, the number of students who are absent would be [tex]40 \cdot 20\%[/tex], which equals to [tex]40 \cdot \frac{20}{100}[/tex] which is 8 students in total who were absent in class 8.

Now that we have found out how many students were absent, simply subtract the number of students who were absent from the total number of students in class 8, which is (40 - 8) = 32 students, and you have the number of students that were present: 32.

Hope this helped!

Answer:

[tex]\angle 6, \angle 4[/tex]

Step-by-step explanation:

[tex]\angle 1\ and\ \angle 2\ are\ remote\ interior\ angles\ of\ \angle 6\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 3.\\\angle 2\ and\ \angle 3\ are\ remote\ interior\ angles\ of\ \angle 4\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 1.[/tex]

Answer:

-4

Step-by-step explanation:

The equation for slope is as follows:

We can use point P and point V's coordinates to find the slope.

Point P is at (2,4)

Point V is at (3,0)

Let's define all the variables:

y2 = 0 (from point V)

y1 = 4 (from point P)

x2 = 3 (from point V)

x1 = 2 (from point P)

Now that we have all the variables we can plug it into the equation:

[tex]\frac{0-4}{3-2} = \frac{-4}{1} = -4[/tex]

Therefore, the slope of line PV is -4.

I hope this helps!!

Feel free to ask any questions!

- Kay :)

Answer:

you're going to get an A

Step-by-step explanation:

.............

Answer: 230 ducks were left.

Step-by-step explanation:

Answer:

31 ducks

Step-by-step explanation:

345 ÷ 33 1/3% = ducks left.

345 ÷ 33 1/3% = approximately 31

So once solved, you can conclude that there are 31 ducks left in the pond.

This product involves zero. So, you don't have to bother and compute all the factor, because if you multiply anything by zero you get zero.

Answer:

You can use the coordinates of a figure to find its dimensions by finding the distance between two points. To find the distance between two points with the same x-coordinates, subtract their y-coordinates. To find the distance between two points with the same y-coordinates, subtract their x-coordinates.

Step-by-step explanation:

Answer:

27 bc he warms hard and should get a raise

Step-by-step explanation:

Answer:

Step-by-step explanation:

the tax will cost

65.49*6.5=4.26

the total price of the book is

65.49+4.26=69.75

Answer:

70.74

Step-by-step explanation:

took the test (im in k-12) btw