Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?

Step-by-step explanation:

22+15x=34-17x

So now, the 34 will join the 22 and the 15x will join the -17x

22-34=-17x-15x

-12=-2x

So now, we divide both sides by -2x

and the negative will cancel negative so

x=6

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

29° + (4x + 9)° + (x + 17)° = 180°

Step 2: Solve for x

Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

Either the question is printed wrong..

Or the answer should simply be

3x + 4y = 10

Answer:

see explanation

Step-by-step explanation:

To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.

Choose x = 2, then

3(2) + 4y = 10

6 + 4y = 10 ( subtract 6 from both sides )

4y = 4 ( divide both sides by 4 )

y = 1

Thus (2, 1 ) is a solution to the equation

Answer:

Step-by-step explanation:

A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.

Given: <ABC, <DEF are right angles.

The missing reasons in the steps of the proof are:

A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)

B: m<ABC = m<DEF (By right angle property)

C: <ABC ≅ <DEF (Congruence property of angles)

Answer:

A: definition of right angle

B: substitution property

C: definition of congruent angles

Step-by-step explanation:

Answer:

$19.50

Step-by-step explanation:

You can set up a simple equation where t-shirts are represented by t and cost by c.

$78=4t.

To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is

$19.50=1t

And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.

Answer:

12.55

Step-by-step explanation:

The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given decimal numbers are 3.06 and 4.1.

Now, product =3.06×4.1

= 12.546

To the nearest hundredth is 12.55

Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.

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Answer:

Education in Nepal was long based on home-schooling and gurukulas.[citation needed] The first formal school (Durbar School), established by Jung Bahadur Rana in 1853, was intended for the elite. The birth of Nepalese democracy in 1951 opened its classrooms to a more diverse population.[citation needed] Education in Nepal from the primary school to the university level has been modeled from the very inception on the Indian system, which is in turn the legacy of the old British Raj.[1]

Step-by-step explanation:

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Answer:

-3

Step-by-step explanation:

Answer:

The equivalent expression is [tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex].

Step-by-step explanation:

The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:

(i) I have a half-full bottle of water

Translation: I use a bottle with a maximum volume capacity [tex]V_{max}[/tex], measured in ounces, a half of it is full of water:

[tex]\frac{1}{2}\cdot V_{max}[/tex]

(ii) And it has more than 8 ounces in it

Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:

[tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex]

Answer:

ur answer is 4 hope it helps

Answer:

x = 9

Step-by-step explanation:

2x + 8 = 4x - 10 Given

2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality

8 = 2x - 10

8 + 10 = 2x - 10 + 10 Addition property of equality

18 = 2x

18 ÷ 2 = 2x ÷ 2 Division property of equality

9 = x Answer

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Solution  of the given equation 2x+8=4x-10 is x=9.

Solution of an equation are the values to the unknown variables that makes the equality in the equation true

Given equation is :

2x+8=4x-10,   consider it as equation (1)

To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.

Then, the equation will become:

2x-4x = -10-8

Solving the LHS and RHS:

-2x = -18

Divide both the sides by -2, we get:

x = -18/(-2)

x = 9

That means x=9 satisfies the given equation.

Hence, x=9 is the solution of the given equation.

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Answer:

45

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

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Answer:

quadrant 1 - (2,4)

quadrant 2 - (-3,4)

quadrant 3 - (-1, -5)

quadrant 4 - (6, -1)

Step-by-step explanation:

quadrant one consists of both x and y being positive.

quadrant two being the x is negative but the y is negative.

quadrant 3 has its x and y both negative.

finally, quadrant 4 has its x positive, but y is negative.

Answer: The triangles are not similar.

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

Explanation:

Create a 3x3 table. It has 3 rows and 3 columns.

Above the top row, we'll have the side lengths of triangle VUW

Along the left side of the table, we'll have the lengths of triangle LNM

Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.

Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.

After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.

Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.

Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.

Answer:

x=15

angle =34

Step-by-step explanation:

find the missing angle

180-146=34

angle=34

so

all angles added together

(5y+3)+(4y+8)+34=180

9y+11+34=180

9y+45=180

9y=135

y=15

Answer:

We know that angels 5 and 6 are vertical angles, and that vertical angles are equal. We also know that angles 7 is equal to angle 6, in turn meaning that angle 7 is also equal to angle 5. Now we look at angle 8. We can see that angle 8 is vertical to angle 7, meaning its also equal to angle 7. We already established before that angle 7 is equal to angle 5, so if angle 8 is equal to angle 7 which is equal to angle 5. Then angle 8 is equal to angle 5.

Hope this helps! Message me if you still don't understand

Answer:

basta ver os ângulos e ver oque sobrar e sua resposta boa noite espero ter ajudado

Answer:

3 hours

Step-by-step explanation:

If both the cars are moving in the same direction,

Speed of orange sports car = 60 miles per hour

Since, this car has already moved for 1 hour,

Distance covered by the sports car = speed × time

                                                           = 60 × 1

                                                           = 60 miles

Speed of the green van = 30 miles per hour

Since, green van has already moved for the duration = 3 hours

Distance covered by the green van = speed × time

                                                            = 40 × 3

                                                            = 120 miles

Therefore, distance between sports car and green van = 120 - 60

                                                                                            = 60 miles

Relative speed of orange sports car with respect to green van = Speed of sports car - speed of green van

= 60 - 40

= 20 miles per hour

Time taken by the orange sports car to cover 60 miles (Distance between sports car and green van) = [tex]\frac{\text{Distance between the car and van}}{\text{Relative speed of the sports car}}[/tex]

= [tex]\frac{60}{20}[/tex]

= 3 hours

Therefore, orange sports car will take 3 hours to pass the green mini green van.

Answer:

He can run 112 yards in 12 seconds

Step-by-step explanation:

Here, we want to know the number of yards he can run in 12 seconds

From the question, we are told that his running rate is 38 yards in 4 seconds

So the number of yards he can run in 12 seconds will be;

38 * 12/4

= 38 * 3 = 114 yards

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

Answer:

Simple random sampling

Step-by-step explanation:

The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.

Thus question given corresponds to this definition.

Answer:

It's table D

Step-by-step explanation:

I just took the test.

Answer:

The answer is table D!

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

First company:

Charges = per cubic foot of rock fee + delivery fee

y = $3.50x + $80

Second company:

Charges = per cubic foot of rock fee + delivery fee

y = $2.50x + $120

Equate the charges of both companies

$3.50x + $80 = $2.50x + $120

3.50x - 2.50x = 120 - 80

x = 40

The cost of the two companies, y are equal when x = 40

Answer: $14.40

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you divide 7852 by 6 to get 1308.6666666 (etc.)

then you multiply 1308 by 6 (so you take away the .6666) to get 7848

your answer is 4