Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John’s boat beings 30 miles from the dock and is 50 miles from the dock after 5 hours. The distance of Roberta’s boat from the dock is represented by the function y = 5x + 25, where x represents time and y represents the distance from the dock.

Which boat was farther from the dock at the beginning, and which traveled more quickly?

A. John’s boat was farther from the dock at the beginning, but Roberta’s boat traveled more quickly.

B. Roberta’s boat was farther from the dock at the beginning, and it traveled more quickly.

C. John’s boat was farther from the dock at the beginning, and it traveled more quickly.

D. Roberta’s boat was farther from the dock at the beginning, but John’s boat traveled more quickly.


Please Help!!!!

Answer:

James needs to earn 78 more dollars.

Step-by-step explanation:

If you add up all of the money James has earned, (1 + 7 + 14), it equals 22. If you subtract 22 from 100, it equals 78. Therefore James needs to earn 78 more dollars.

Answer:

$58

Step-by-step explanation:

$14*2=$28 as her mum gives another dollar for each dollar he earns

$7*2=$14  as her mum gives another dollar for each dollar he earns

then 28 + 14 = 42

100 - 42=$58

The correct point-slope form of the line is A. y + 1 = 2(x - 1).

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

Given that the slope of the line is 2 and the point on the line is (1, -1), we can substitute these values into the point-slope form to find the correct equation.

Using the point-slope form, we have:

y - (-1) = 2(x - 1)

Simplifying the equation, we get:

y + 1 = 2(x - 1)

Now we compare this equation to the answer choices:

A. y + 1 = 2(x - 1)

B. y - 1 = -2(x + 1)

C. y + 1 = -2(x - 1)

D. y - 1 = 2(x + 1)

Comparing the equation y + 1 = 2(x - 1) to the given point-slope form, we see that they match.

In this equation, the point (1, -1) lies on the line, and the slope of the line is 2. The equation represents a line with a slope of 2 that passes through the point (1, -1).

For more such questions on point-slope form

https://brainly.com/question/24907633

#SPJ8

Answer:

x is 10x-33

Step-by-step explanation:

Answer:

655

Step-by-step explanation:

655-369=286

I hope this is correct and have a great day

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

Answer:

I dont see them

Step-by-step explanation:

Answer:

(2,5)) ,(-2,-3),(8,2),(4,-6)

Step-by-step explanation:

it is rotated by 180 degree so evrything  becomes  positve beside the -6

Answer:

12.5

Step-by-step explanation:

If an isosceles right triangle as the length of the equal sides is  a , then the length of the hypotenuse will be  a2–√  (using pythogoras theorem.

Hence the perimeter will be  a+a+a2–√=a(2+2–√)  

Hence the equal sides of the triangle in question has the length of  a=5  

Area of the triangle  =  12∗Height∗Base  

=12∗5∗5=12.5

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

Answer:

C

Step-by-step explanation:

because its either A or C and when I did it I picked C and it was wrong.

¯\_(ツ)_/¯

Answer:

Step-by-step explanation:

The range is:

It means the lowest point is 4 and all the other points are greater than 4

Point 4 is the y-coordinate of the vertex and the graph opens up.

Answer:

0.0004582951

Step-by-step explanation:

I just put this equation into a calculator to solve.

Answer:

7 inches

Step-by-step explanation:

you have to use the Pythagorean Theorem

Answer:

10 inches

Step-by-step explanation:

Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.

Answer:

Concept: Fractions

Answer:

The portions added together make 47/48 of the dessert.

Step-by-step explanation:

To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:

[tex]\frac{2}{3} + \frac{5}{16}[/tex]

[tex]\frac{32}{48} + \frac{15}{48}[/tex]

[tex]\frac{47}{48}[/tex]

Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.

Hope this helped!

Answer:

720 feet

Step-by-step explanation:

We can Find the travelling time. We know that the bee spends 19 minutes hunting down the nectar in the flowerbed. But was away from the hive for a total of 24 minutes, then the travelling time becomes(24min - 19min) = 5 min

Then let us Convert to seconds vfir consistency

1 minute = 60 seconds

5 minutes = (5×60 )= 300 seconds.

Then the travelling time becomes 300 seconds

We can Find the time each way, since we know that the total time is 300 seconds, though not evenly divided

Let us denote the time there = t

the time back = (300 - t)

But the distances are the same.

r = 6 m/s and r1 = 4 m/s

t1 = t and t2 = (300 - t)

Let dthere = dback

Where, d =( rate × time)

(6× t )= 4 (300 - t)

6t= 1200 - 4t

10t=1200

t=120 seconds

To Find the distance?

d =( rate × time)

d = ? r = 6 m/s and t = 120 second

d = r*t

d = 6 × 120

= 720 feet

Hence, instance of the flower bed from the hive is 720 feet while the equation is ( d = r*t)

Answer:

➩ [tex]x=2,-\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{4x^2}=x+2[/tex]

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

[tex]\sqrt{4x^2}=|2x|[/tex] ➩ Define of Absolute Value/Square Root

➩ [tex]\sqrt{x^2}=|x|[/tex]

Thus, our new equation is ➩ [tex]|2x|=x+2[/tex]

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

[tex]2x=x+2\\[/tex]

Move x to another side

[tex]2x-x=2\\x=2[/tex]

➨ Where x < 0

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

Answer:

For more;

4.76

for less;

0.46

Step-by-step explanation:

Here, we intend getting the decimals that Carmen should make in her game given the numbers she drew

She has two types to make; a decimal less than 1 and a decimal more than 1

If the decimal should be less than 1, the number zero should lead;

And since she is using three of the numbers, we can have something like;

0.46

To make a decimal more than one, she could actually start with any of the numbers other than zero

we can have something like 4.76

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units

Answer:

right 2 and upward 3.

Step-by-step explanation: I took the test

Answer

6/-11

Step-by-step explanation:

use the slope formula m= [tex]\frac{y 2-y 1}{x 2-x 1}[/tex]

then sub in numbers m=[tex]\frac{7-1}{-5-1}[/tex]

now subtract numerator and the denominator

[tex]7-1= 6[/tex]    and

[tex]-5-6=-11[/tex]  this now looks like  [tex]\frac{6}{-11}[/tex]    

Answer:

5

Step-by-step explanation:

g(x) = 2 - 3x

g(-1) = 2 - 3(-1)

g(-1) = 2 + 3

g(-1) = 5

Answer:

b

Step-by-step explanation:

edg

Answer:

B

Step-by-step explanation:

right on edge 2021

Answer:

y = x + 4 or x - y + 4 = 0

Step-by-step explanation:

The relation between "x" and "y" is linear.

Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1

Coordinates of y-intercept of the line (0, b) = (0, 4)

Slope-intercept form of a line equation is y = mx + b

The rule (equation) of line is y = x + 4

or x - y + 4 = 0 (in standard form)

Answer:

unit rate: (1,1)

Step-by-step explanation:

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Step 3: Solve for y

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Answer:

i think 124...is the answer