My truck loses 3 gallons of gas for every mile. What integer represents the change in gas after 7 miles

if the second derivative is negative, then the first derivative is decreasing, Graphically, we see this as the curve. of the graph being concave down, that is, shaped like a parabola open downward.

The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.

When second derivative is positive concavity?

If the second derivative is positive at a point, the graph is concave up at that point. If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a point, the graph is concave down.

learn more about derivative here

https://brainly.com/question/25324584

#SPJ4

The reason with respect to this function is: D. No, the elements of the set of y are not all ordered pairs.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs does not represent a function because the elements of the set of "y" aren't all ordered pairs i.e (3, 1, 4).

Read more on function here: brainly.com/question/3632175

#SPJ1

Based on the annualized interest from the investments that Jill went into, the amount deposited in savings was $28,363.64 and the amount in the cd was $14,181.82.

Assuming that the amount invested in the cd was x, then the amount invested can be modeled as:

= 5%x

= 0.05x

The amount invested in savings was:

= 2 x 3% x

= 2 x 0.03x

= 0.06x

The amount invested in cd was:

0.06x + 0.05x = 1,560

0.11x = 1,560

x = 1,560 / 0.11

x = $14,181.82

The amount in the savings was:

= 14,181.82 x 2

= $28,363.64

Find out more on amount deposited at https://brainly.com/question/27871657

#SPJ1

Answer: 32 year

Step-by-step explanation:

Let Jerrey age is 'y' year

Mell age = 2y

Now,

2y – 16 = y + 16

y = 32

∴ Mells age = 64 year

& Jerrey age = 32 year

Answer:

B & D

Step-by-step explanation:

If it’s 60 cents per apple, you will be able to buy 3 apples for $1.80, and 10 apples for $6.00.

0.60 x 3 = 1.80

0.60 x 10 = 6

Hope this helps! <3

320 Tiles of measuring 20cm*50cm will be needed to cover a wall 4m by 8m.

Let to cover the wall of dimension 4m * 8m completely with the tiles we need x number of tiles of size 20cm * 50 cm.
The area of wall must be that of total areas covered by tiles.

So,

Area of 1 Tile = 20cm * 50 cm = 1000sq. cm

Total Area of Tiles needed = 1000x sq.cm

Total Area of wall = 4m * 8m = 400 * 800 = 320000 sq. cm

So, We know that

Total Area of wall = Area of 1 Tile * x

320000 = 1000x

x = 320

Therefore, we can conclude that we will need 320 tiles to cover a wall of area 32sq. metres completely.

Learn more about area here

https://brainly.com/question/1631786

#SPJ1

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] ÷ 6  Change 3 [tex]\frac{3}{4}[/tex] into an improper fraction

Another name for 1 is [tex]\frac{4}{4}[/tex] so another name for 3 is [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] or [tex]\frac{12}{4}[/tex]

[tex]\frac{12}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{4}[/tex]   So we now have

[tex]\frac{15}{4}[/tex] ÷ 6   or

[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{6}{1}[/tex]  If I use the common denominator of 4, I can divide straight across.

[tex]\frac{15}{4}[/tex] ÷[tex]\frac{24}{4}[/tex]  Now divide across and we get

[tex]\frac{\frac{15}{24} }{\frac{4}{4} }[/tex] = [tex]\frac{\frac{15}{24} }{1}[/tex]= [tex]\frac{15}{24}[/tex]  Divide the top and bottom by 3 to simplify to [tex]\frac{5}{8}[/tex]

This is not the most traditional way to solve, but I think it is more intuitive.

1) The slope of line that goes through the points (12, 13) and (-8, 8) is; 5/28

2) Using the point (12, 13) and the slope 5/28, the equation of the line is;

y - 13 = (5/28)(x - 12)

3) The equation of the line in slope intercept form is;  y =  (5/28)x - 76/7

We are told that a line goes through the points; (12, 13) and (-8, 8)

1) The slope is gotten from the formula;

m = (y2 - y1)/(x2 - x1)

m = (8 - 13)/(-8 - 20)

m = -5/-28

m = 5/28

2) Using the point (12, 13) and the slope 5/28, the equation of the line is;

y - 13 = (5/28)(x - 12)

3) Expanding the equation in answer 2 above, we have;

y - 13 = (5/28)x - (60/28)

y - 13 = (5/28)x - 15/7

y = (5/28)x - 15/7 + 13

y =  (5/28)x - 76/7

Read more about Equation of Line in slope intercept form at; https://brainly.com/question/1884491

#SPJ1

Answer:

32°

Step-by-step explanation:

Using the angle addition postulate,

[tex]3x+10+2x+12=72 \\ \\ 5x+22=72 \\ \\ 5x=50 \\ \\ x=10 \\ \\ \implies m\angle ABC=2(10)+12=32^{\circ}[/tex]

The value of the inequality given as n ≤ 5 - 4 is n ≤ 1.

It should be noted that an inequality is simony used to how the relationship between the expressions that aren't equal.

In this case, it should be noted that the inequality given is expressed as n + 4 ≤ 5. This will be solved accordingly:

n + 4 ≤ 5.

Collect like terms

n ≤ 5 - 4

n ≤ 1.

Learn more about inequalities on:

brainly.com/question/24372553

#SPJ1

Answer:

Michael will earn $399.60 for a 37-hour week.

Step-by-step explanation:

[tex]10.80 \times 37 = 399.60[/tex]

okay so this question is very easy you just supposed to multiple the paid per hour amount with the hours per week.

Data

paid per hour $10.80

find how much for 37 hours

Solution

37 * 10.80

=$399.6

The altitude of the balloon now is 324 meters.

Altitude , height, or depth are terms used to describe the measurement between a reference datum and a location or item, usually in the vertical or "up" direction.

The height of the balloon is 288 meters.

The balloon rises by 36 meters.

The altitude of the balloon now = 288 + 36 = 324 meters

To learn more about altitude visit:

https://brainly.com/question/12999337

#SPJ1

Taxes can be paid in cash or labor and can be either direct or indirect.

Cost of juice bottle is $27.54.

Tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs. A tax is a mandatory financial charge or some other type of the levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and the various public expenditures (regional, local, or national). Around 3000–2800 BC, the first recorded taxation was enacted in ancient Egypt. Non-compliance with the law includes failing to pay on time as well as evading or resisting taxation. Taxes can be paid in cash or labor and can be either direct or indirect.

Most nations have a tax system in place to finance public, shared, or agreed-upon national necessities as well as governmental duties. While some scale taxes are progressive based on brackets of annual income amounts, most impose a flat percentage rate of taxation on personal annual income. The majority of nations impose taxes on both personal and business income. The Wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, usage taxes, payroll taxes, fees, and/or tariffs are frequently levied by nations or subunits.

A bag of popcorn = $2.45

Juice bottles =18

Total cost = $29.99

Cost of juice bottle = $29.99-$2.45= $27.54

To know more about tax visit: https://brainly.com/question/16423331

#SPJ9

The total number of possible outcomes for the math quiz is 16

3  multiple choice questions and each has 4 options. The total number of options here is

= number of question * number of options

= 4 * 3

= 12

2 true/false questions. The total number of options here is

= number of question * number of options

= 2 * 2

= 4

The number of possible outcomes

= outcome from the multiple choice question + outcome from the true/false question

= 12 + 4

= 16

Therefore the total number of outcomes from the quiz in this question is  is 16

Read more on probability outcome here:

https://brainly.com/question/19916581

#SPJ1

Answer: $61.69

Step-by-step explanation: Since is say "per pound", it means for each 1 singular item/weight/etc. So for Each pound, you gain 3.98 dollars. Multiply 15.5 and 3.98 to get 61.69.

Answer:

-56

Step-by-step explanation:

Given that,

r => -7

s => 2

To solve this given expression, replace r & s with -7 & 2 respectively.

Let us solve it now.

[tex] \sf \: r {s}^{3} \\ \sf - 7 \times {2}^{3} \\ \sf- 7 \times 8 \\ - 56[/tex]

Answer: -10/7 < -8/9 < 0.3 < 7/8 < 1.7

Step-by-step explanation:

The equation f(-4) = (x - 2)/2 has a constant slope; so it is linear

As a general rule, these are equations with constant rate of change.

The equation is given as

f(-4) = (x - 2)/2

Rewrite as

f(x) = (x - 2)/2

Simplify

f(x) = x/2 - 2/2

Divide

f(x) = x/2 - 1

A linear equation is represented as

f(x) = mx + c

Where m represents the slope and c represents the intercept

This means that

m = 1/2

c = -1

Hence, the equation is a linear equation

Read more about linear equations at

https://brainly.com/question/4074386

#SPJ1

The position of Zara and Sofia will be 52nd and 53rd.

According to the question, the persons standing in front of Sofia and Zara are 51. After 51 people, Sofia and Zara came and stood in line due to which they will be counted as the next persons.

The individual position of Zara and Sofia can't be determined as it is not given that between Zara and Sofia who came earlier.

This question is related to order and ranking. It means the process of knowing the position of a person, a thing, or a place in comparison to the position of other persons, or things.

To know more about order and ranking refer to the link given below:

https://brainly.com/question/24253706?utm_source=android&utm_medium=share&utm_campaign=question

The Addition of AnglesABD + DBC = ABC, according to the postulate formula, if D is within of ABC.The formula is applicable to adjacent angles' angle measurements.The greater angle that the two adjacent angles combine to generate will equal the total of the two adjacent angles.

Write a paragraph proof to prove that if P, Q, R, and S are collinear, PQRS, and O is the midpoint of PR, then R is the midpointof QS.

demonstrating PR = QS

Given: Q is PR's halfway point.

A segment's midpoint:

PQ = QR

Given: QS's midpoint is R.

A segment's midpoint:

PQ = QR

The equality's addition property is: QR + RS = PQ + QR.

Consequently, PR = QS.

The seven seven-statement proof below provides evidence that "PQO" and "RSO" are true.

I have provided the triangles image since it is missing.

The following is a step-by-step statement proof that "PQO" and "RSO" are true:

First statement; P R

the first; given

2. O is the midway of PR and QS

second; provided

Indicator 3; PO OR ; QO OS

To learn more about angle pairs refer

https://brainly.com/question/6284687

#SPJ13

∀Answer: keed

Step-by-step explanation: L trash

In order to find g(0), we just need to find the value of the function for x = 0.

Looking at the graph, for x = 0 we have y = 7.

Therefore g(0) = 7.

To find the value of x for g(x) = -1, let's look for the value of x where y = -1.

Looking at the graph, for y = -1, we have x = -2.

Therefore g(x) = -1 for x = -2.

The component form of the resulting vector is <5, -4>

Vector:

Vector means the objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

Given,

Vector v = <3, 1>.

Here we need to find the value of u through the given graph and we have to perform the addition operation in order to find the component form of the resulting vector.

Here we have the value of vector v = <3,1>

While observing the graph we have identified as the value of vector u is,

x value = 2

y value = -5

So, the component from of vector u = <2, -5>

Now the addition of u + v is equal to,

=> u + v

=> <3,1> + <2, -5>

=> < (3 + 2) , (1 + (-5))>

=> < 5, -4>

Therefore, the component form of the resulting vector is <5, -4>.

To know more about Vector here.

https://brainly.com/question/13322477

#SPJ1

Answer:

Draw vector v in standard position. To add v to u, shift v 2 units to the right and 5 units down so its initial point coincides with the terminal point of u. Use a dotted line to depict the shifted vector v.

Now there are three sides of a parallelogram. To complete the parallelogram, draw a dotted line from the tip of vector v in the standard position to the tip of the shifted vector v.

Finally, draw the vector represented by the diagonal of the parallelogram with its initial point at the origin. The resultant vector, u + v, is this diagonal of the parallelogram in which the two vectors, u and v, are adjacent sides. The components of u + v are <5, -4>.

Step-by-step explanation:

Plato/Edmentum

Since the points on this graph represent a relationship between x- and y-values, the statement which is true about the relationship is that: 4. It cannot be proportional because a straight line through the points does not go through the origin.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any proportional relationship is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously.

In this context, we can reasonably infer and logically deduce that the relationship between x-values and y-values in this graph is not proportional.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Complete Question:

The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?

1. It must be proportional because the points lie on the same line.

2. It must be proportional because each time x increases by 2, y stays the same.

3. It cannot be proportional because the y-values are not whole numbers.

4. It cannot be proportional because a straight line through the points does not go through the origin.

Answer:

y=4x-3

Step-by-step explanation:

Answer: the slope for y is y=-3+4x

              the slope for x is x=[tex]3/4 +y/4[/tex]

Step-by-step explanation:.

Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex].

A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1

2 x [tex]\frac{1}{2}[/tex]= 1. It is also known as a number's reciprocal.

Given Data

16 ÷ [tex]\frac{4}{5}[/tex]

Reciprocating,

16 × [tex]\frac{5}{4}[/tex]

Simplifying,

4(5)

20

Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex]

To learn more about multiplicative inverse, visit:

https://brainly.com/question/13715269

#SPJ9

The range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

As per the question statement, Mrs. Dundee wants to sell the rights to her Cajun cookbook so one publisher offered to pay $80,000 and a $3 royalty for every book sold and publisher two offered to pay $30,000 and $5 for every book sold.

We are supposed to find the range of sales for the given conditions.

Let's suppose Mrs. Dundee sold "x" books

30,000 + 5x > 80,000 + 3x

2x > 50,000

x > 25,000

So, the range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

To learn more about range and functions, click on the link given below:

https://brainly.com/question/28135761

#SPJ1

The expression without the rational exponents is ⁴√(m^3n^5)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(m^3n^5)^1/4

The exponents of the above expression cannot be simplified

This means that, we simply rewrite the expression using the fourth root expression

So, we have

(m^3n^5)^1/4 = ⁴√(m^3n^5)

Hence. the equivalent expression is ⁴√(m^3n^5)

Read more about expression at

https://brainly.com/question/13818690

#SPJ1