find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use t as your parameter.)



Answer:

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

Step-by-step explanation:

Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.

The y-intercept is the point where the line intersects the y- axis.

y = mx + 2

The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex]       Two points from the line: (0,2) (4,8)

[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

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

Answer:

because a=b and c=d so bisect

The coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

Let the coordinates of point B are (x, y).

According to the give question.

The midpoint of AB is M(4, 0).

The coordinates of A are (3, 1).

Therefore, the coordinates of points B are given by

(4, 0)  = ( (3 + x)/2,  (1 + y)/2)

⇒ (3 + x)/2 = 4, and (1 + y)/2  = 0

⇒ 3 + x = 8 and 1 + y = 0

⇒ x = 8 - 3   and   y = -1

⇒ x = 5 and y = -1

Hence, the coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

Find out more inoformation about midpoint here:

https://brainly.com/question/4728902

#SPJ1

Answer:

$23.92

Step-by-step explanation:

35% of 40 is 14. 40-14=26. 8% of 26 is 2.08. 26-2.08=23.92

Answer:

Step-by-step explanation:

30g-42h+24

30g-42h+24

Answer:

IM A HUGE TRAVIS SCOTT FAN I SNUCK IN ONE OF HIS CONCERTS

Step-by-step explanation:

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.

So, the related equation for boundary line is

[tex]x=-7[/tex]

The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.

The boundary line is a solid line. It means -7 is also included in the solution set.

The value of x is less than or equal to -7. So, the inequality for shaded region is

[tex]x\leq -7[/tex]

Therefore, the correct option is B.

Answer:

360,000

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

b/c mean is average by another word

55 + 65 = 120

120\2 = 60

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

(1/2)56 = a - b

28 = a - b

a + 28 = 56

a = 28

Answer:

36.87 degrees

Step-by-step explanation:

we can use the cos ratio:

cos(x) = adjacent/hypotenuse

cos(x) = 12/15

x = [tex]cos^{-1} (4/5)[/tex]

x=36.87 degrees

Step-by-step explanation:

2s + b = 23.6

s + 4 = b

s = b - 4

2b - 8 + b = 23.6

3b = 31.6

b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53

s = 6.53

Answer:

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

Step-by-step explanation:

Answer: 12/36 and simplified would be 1/3

Step-by-step explanation:

12 - hard boiled eggs

——

36 - scrambled

Divide them by 12 and you get a simplified fraction

Answer:

The correct answer is C. 6x = 500.

Step-by-step explanation:

In this expression, the "x" represents how many dollars he needs to save every month. Or in other words, the amount of money he earns a month multiplied by the amount of months should equal 500 in order for Parvinder to be able to go on his trip.

Therefore, the correct answer is C. 6x = 500.

Hope this helps! :D

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

Answer: 190

Split the summation into smaller summations that fit the summation rules

10∑ j=1 (2j+8) = 2 10∑ j=1 (j) + 10 ∑ j=1 (8)

Firstly Evaluate

10

2 ∑ j=1 j

The formula for the summation of a polynomial with degree one is:

n∑ k=1  k =n (n+1) / 2

putting the values

2∑ j=1 j = (2)* 10 * (10+1) / 2

             = 110…………………..(1)

second Evaluate :

10 ∑ j=1 (8)

The formula for the summation of a constant is:

N  ∑ k=1 c  =  cn

Putting the values

10 ∑ j=1 (8) = 8 * 10

                   = 80……………….(2)

Adding both (1) and (2)

110+80

190

the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).

Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:

S = 7 ft/min

Now remember the relation:

distance = speed*time

Then the proportional relation is:

D = 7*t

The ordered pairs are of the form (t, D)

if t = 1.

D = 7*1 = 7

if t = 2

D = 7*2 = 14

if t = 3

D = 7*3 = 21

if t = 4

D = 7*4 = 28

Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).

If you want to learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

cot(θ) = cos(θ)/sin(θ)

So if both cot(θ) and cos(θ) are negative, that means sin(θ) must be positive.

Recall that

cot²(θ) + 1 = csc²(θ) = 1/sin²(θ)

so that

sin²(θ) = 1/(cot²(θ) + 1)

sin(θ) = 1 / √(cot²(θ) + 1)

Plug in cot(θ) = -2 and solve for sin(θ) :

sin(θ) = 1 / √((-2)² + 1)

sin(θ) = 1/√(5)

Answer:

-4875

Step-by-step explanation:

and hello

The answer is A: Town

One of the solutions of the given equation y = 5x is (2,10)

The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.

If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.

The given equation is: y = 5x

For option (-2,10), substitute x = -2 and y = 10 into the equation:

10 = 5 . (-2)

10 = -10 (False)

Hence (-2,10) is not a solution.

For option (-5, 25), substitute x = -5 and y = 25 into the equation:

25 = 5 . (-5)

25 = -25 (False)

Hence (-5, 25) is not a solution.

For option (-3, 15), substitute x = -3 and y = 15 into the equation:

15 = 5 . (-3)

15 = -15 (False)

Hence (-3, 15) is not a solution.

There is no options in the problem that gives the correct equality. Looks like there is a typo.

Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:

10 = 5 . (2)

10 = 10 (True)

Hence (2, 10) is a solution.

Learn more about the the solution of equations here:

https://brainly.com/question/27090717

#SPJ4

Answer:

The limit of f(f(x)) = -1.

Step-by-step explanation:

Limt x--> -1 of  f(x) = 3.

This output is now applied to f(x):

Limit x---> 3 of  f(x) = -1.

Answer:

-53

Step-by-step explanation:

3-(-4)-3-57

7-3-57

4-57

=-53

Answer:

-6.3

Step-by-step explanation:

You can do it on calculator.

Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

Answer:

1) 17.6    2) 1760%     3) 12.6

Step-by-step explanation:

give me brainlist

The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 15(0.85)ˣ

a) The initial height of the bouncing ball is 15 feet

b) The percent rate of change = 0.85 - 1 = -0.15 = -15%

c) After 5 s, x = 5:

f(5) = 15(0.85)⁵ = 6.66 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer: 4.5 hours

Step-by-step explanation: i used cross multiplication.

2.5/x=60,000/108,000

60,000x=270,000

divide 270,000 by 60,000

x=4.5

An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,

V ∝ T

V = kT

Substituting the volume and time in the equation,

60,000 gallons = 2.5 hours × k

Solving the equation for k,

k = 60,000 gallons / 2.5 hours

k = 24,000 gallons per hour

Now, the equation for the relationship can be written as,

V = 24,000 gallons per hour × T

Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,

V = 24,000 gallons per hour × T

108,000 gallons = 24,000 gallons per hour × T

108,000 gallons / 24,000 gallons per hour = T

T = 4.5 hours

Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5