Graph the line that passes through the points (1, -2) and (-1,-6) and
determine the equation of the line.

Step-by-step explanation:

bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French

There are 5/12 strawberries were left. This can be solved using the concept of fraction addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

Given that,

A farmer took 2/3 of the strawberry that he harvested to a market.

At the market, the farmer sold 1/4th of the strawberry.

Now, the farmer has left no of strawberries were:

= (2/3) - (1/4)

= (8 - 3) / 12

= 5 / 12

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The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

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The required maximum volume of the box is 2ft³.

Volume is a measurement of how much space an object takes up.

We can calculate the amount of something needed to fill it, like water for a bottle, tank, or aquarium.

Amount of space that stuff takes up - that's what we mean when we talk about volume.

Stuff is anything that has mass and takes up room.

When scientists are measuring volume, they usually use cubic meters.

So, calculate as:

V=x·y²

2x+y=3

y=3-2x

V = x·(3-2x)² = x·(9-12x+4x²) = 9x - 12x²+4x

V ` = 9-24x+12x² = 3(4x²-8x+3) = 3(4x²-6x-2x+3)

= 3[2x(2x-3)-(2x-3)] = 3(2x-3)(2x-1)

When the most amount is present: V ` = 0

Then,

2x-3 = 0  

2x = 3              

x = 1.5 (That's wrong, 'cause y = 0.)

or: 2x-1 = 0

2x = 1

x = 0.5,  y = 3 - 2 · 0.5 = 3 - 1 = 2

V max = 0.5 · 2² = 0.5 · 4 = 2 ft³

Therefore, the required maximum volume of the box is 2ft³.

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when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).

Reflect a point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.

coordinates

it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

image of point

The  image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.

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The answers to each part is mentioned below.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is a straight line problem as shown in the question.

(a) -

Now, 12 oz of honey will cost $5.4. So, we can write that -

1 ounce of honey will cost - (5.4/12)

Cost of 1 oz honey will be - $(0.45)

(b) -

Now, 12 oz of honey will cost $5.4. So, we can write that -

For $1, you can buy - (12/5.4) oz of honey.

Amount of honey bought in 1 dollar - 2.22 ounces

(c) -

We can write the equation as -

c = 0.45h

(d) -

The graph for this function is attached with the answer.

Therefore, the answers to each part is mentioned above.

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Answer:

Step-by-step explanation: its 90

Answer:

y=90°

since,70°+(X+X)+(180°-110°)=180°

or,70°+2X+180°-110°=180°

or,2X-40°=0

or,2X=40°

:.X=20°

Also,

X+y+70°=180°

or,y+90°=180°

:.y=90°

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Answer:

b

Step-by-step explanation:

The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.

The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:

The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:

The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.

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well, let's take a looksie, hmm the sector is really a sector with a central angle of 90°, wait a second!! a circle has a total of 360°, so 90°+90°+90°+90° = 360°, so 90°is really just one quarter that of a circle.

Now, if we just get the whole area of the circle, then grab only one quarter of that, we'll be set, yeahhhh!!

[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies A=\pi (9)^2 \\\\\\ \stackrel{\textit{one quarter of that}}{\cfrac{1}{4}\cdot \pi (9)^2}\implies \cfrac{81\pi }{4}\implies \cfrac{81(3.14)}{4} ~~ \approx ~~ \text{\LARGE 63.6}[/tex]

Answer:

85+7.5v=160

7.5v=160-85

7.5v=75

V=75/7.5

V=10

Ryan would need to take 10 visits to get a free ticket.

Answer:

1.  $76,000

2. $58,000 + $2,000 * t

Step-by-step explanation:

2. Now, you might be questioning why we are going with the second question first, but this will be useful as it sets up our equation to make the first question easier. So, we will start with Luke's base salary of $58,000. Then, we will add $2,000 for every year he works at the company. If he works for t years and gains $2,000 on his salary per year, our equation will look like this:

$58,000 + $2,000 * t

That is the equation.

1. Now, using our previous equation, $58,000 + $2,000 * t, we will substitute 9 in for t. We get:

$58,000 + $2,000 * 9

Then, we simplify, giving us:

$58,000 + $18,000 = $76,000

Answer:

Step-by-step explanation:

a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.

b) He spent 150% more on clothes than on food.

Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.

The correct answer is an option (C)

The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.

Roth 401(k) is funded with after-tax money.

You can withdraw after-tax money once you reach retirement age.

A traditional 401(k) allows you to make contributions before taxes.

But in traditional 401(k) you have to pay income tax on the distributions in retirement.

Therefore, the main difference is:  the income taxes on your contributions.

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Answer:

is not 37.5

it's 25

Step-by-step explanation:

25+25+15+115=180

50+130=180

180=180

Answer:

25°

Step-by-step explanation:

25 + x + 15 = 3x – 10 ( Sum of two opposite interior angles is equal to the exterior angle)

40 + x = 3x - 10

40 + 10 = 3x - x

50 = 2x

[tex]x = \frac{50}{2} [/tex]

x = 25°

The value of x is 45 degree and value of y is 49 degree.We can find by using supplementary and corresponding angles.

Supplementary angles are those angles that sum up to 180 degrees. To find the angle which is supplementary to another angle subtract the given angle from 180 degrees. For example if one angle is 60 degrees then another angle is 180 – 60 = 120 degrees.

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles.

Now we find

according to supplementary angles

3x+45=180

3x=180-45

x=45

According to corresponding angles

y-4=45

y=45+4

y=49

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Answer:

x= 43

Step-by-step explanation:

The angles are corresponding angles which mean that they are equal to each other.

3x + 5 = 134  Subtract 5 from both sides

3x + 5 - 5 = 134 - 5

3x = 129  Divide both sides by 3

[tex]\frac{3x}{3}[/tex] = [tex]\frac{129}{3}[/tex]

x = 43

Thus, 0 itself is the sole position at which [0,∞] and (0,∞] are separated. Since it is in [0,∞] the set is closed. Given that it is not in (0,∞), the set is open interval.

A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The collection of numbers such that 0 x 1 and the collection of all real numbers are other examples of intervals.

the empty set, any singleton, the set of positive real numbers, the set of nonnegative real numbers, and (set of one element).

Because they are the most basic sets whose "length" (or "measure" or "size") is straightforward to define, real intervals are crucial in the theory of integration. The Borel measure and finally the Lebesgue measure result from extending the notion of measure to more intricate sets of real numbers.

Interval arithmetic is a broad numerical computing technique that automatically generates assured enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff. Intervals are at the centre of this technique.

Therefore, 0 itself is the sole place at which [0,∞] and (0,∞] have a boundary. Due to its location in [0,∞] the set is closed. Since it is not in (0,∞), the set is unclosed.

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The function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.

What is the function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

For Option A, the total amount earned can be represented by the function:

f(x) = 100 + 10x

where x is the number of days in February (x = 28 for a standard non-leap year)

For Option B, the total amount earned can be represented by the function:

f(x) = (1/100) * 2^x

where x is the number of days in February (x = 28 for a standard non-leap year)

the above function will be in cents, to get dollar values divide it by 100.

hence, the function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.

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25-90-65 is a right-angle triangle because one of the angles is 90°.

A right-angle triangle or orthogonal triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), and two sides are perpendicular. The relationship between the sides and angles of the right triangle is the basis for trigonometry.

The hypotenuse is the facing side to the right angle. Legs are the adjoining sides to the right angle.

Properties of right angle triangle:

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The answer to the iterated integral after the evaluation is 2.

The iterated integral evaluates to the area of the region bounded by the curves x = 0, x = y, and y = π/2, which can be calculated by setting up a double integral. The outer integral is with respect to x, from 0 to π/2, and the inner integral is with respect to y, from 0 to x.

The integrand is xsin(y), meaning that the area of the region is the integral of xsin(y) with respect to y from 0 to x, and then with respect to x from 0 to π/2. The solution is found by evaluating the inner integral first, which yields -xcos(x), and then evaluating the outer integral. The result is 2, which is the area of the given region.

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Answer:

he will hike approximately 6 days

One final test that lasts three hours is given in addition to four-hour exams that are given by the teacher. The student's last grade is an 83.29.

The final exam result was an 80, which counts as 31 hour examinations if the exam scores range from 60 to 81, which totals to 97,87. In order to accomplish this, we must multiply three eighty by 62, 81, 97, and 87, which equals a 31-hour exam.

The whole time for the final exam, which is 31 hours, will be added up and divided by 7, giving us an average final grade for the student of 81.To reduce the number's number of significant digits in order to approximate it. Rounding down from 15.4 to 15.5, from 15.51 to 15.5 or 16, from 0.499 to 0, and from 970,000 to 1 million.

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Answer:

3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.

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The normal price of the car is given as follows:

£9000.

The normal price of the car is obtained applying the proportions in the context of this problem.

In a sale, the normal price of a car has been reduced by 30%. The new price is £6300, meaning that 70% of the price x is equivalent to 6300.

Thus the equation used to obtain the value of x is given as follows:

0.7x = 6300

x = 6300/0.7

x = £9000.

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The correct option is (d).

The function that could be used to model the current population is P(t) = 1,260(1.02)

This function models the growth of the population over time, t. The base population is 1,260 and the growth factor is 1.02, which represents a 2% increase. The function multiplies the base population by the growth factor to find the new population after one year.

The other options are not correct because:

P(t) = 1,260(1.2) is incorrect because the growth factor is incorrect, it's 1.2 which represents a 20% increase, which is too much compared to the 2% increase mentioned in the problem statement.

p(t) = 1,260(1.002) is incorrect because the growth factor is incorrect, it's 1.002 which represents a 0.2% increase, which is too small compared to the 2% increase mentioned in the problem statement.

P(t) = 1,260(0.02) is incorrect because the growth factor is incorrect, it's 0.02 which represents a 2% increase, but it is not raised to the power of t.

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No, x2 16 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

A perfect square trinomial is a polynomial of the form a2+2ab+b2, where a and b are constants. This trinomial does not have the same pattern of constant coefficients. It is simply the product of two linear expressions, x2 and 16.

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The radius of the sphere  1.5  units

The volume of the cone is   pi (3)^2 *4 / 3   units^3  =  12pi  units^3

The volume of the sphere is (4/3)pi (1.5)^3  units^3 = 4.5 units^3

So   ratio  of the volume of the sphere to the cone is :

4.5 pi  / 12 pi  =    4.5 / 12  =      (9/2) / (24/2)  =  9 / 24  =  3 / 8

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Answer: To estimate the tip, you can first round the bill to the nearest ten dollars. In this case, $706.03 rounded to the nearest ten dollars is $710.

Next, you can calculate the tip by multiplying the rounded bill amount by the tip percentage, 15% in this case.

15% of $710 is 15/100 * 710 = 106.50

So the amount of the tip is approximately 106.50

It's worth mentioning that this method of approximation is not always precise, but it can be a quick and easy way to calculate an estimate when you don't need a very precise answer.

Step-by-step explanation: