Solve the system of equations below by graphing.

1.8x +y=3.6
y=x^2-3x-1

What are the approximate solutions rounded to the nearest tenth?
(–1.6, 6.5) and (2.8, –1.5)
(–0.8, 2.1) and (5.6, 13.7)
(2.1, –0.8) and (13.7, 5.6)
(6.5, –1.6) and (–1.5, 2.8)

The function to be used is called "p" and represents the area of the pepper patch to be constructed. It should depend on the length of the tomatopatch (this dimension/variable is called "x")

Therefore, p(x) is how we write the function in mathematical terms.

Now, the domain of this function consists as all domains as the possible x values that could render a viable answer. so, the Domain is:

Domain = {set of all possible lengths of the tomato patch} This description better describes that given in the very first option on the top left.

The y-intercept: Recall that the variable we are representing on the y-axis (vertical axis), and the intersect occurs when the x-value is zero.

So y-intercept = The area of the pepper patch when the length of the tomato patch is zero (last option - bottom right)

x-intercepts: The points at which p is zero, So the length of the tomato patch when the area of the pepper patch is zero. (This is the bottom left option they give you).

The Range: is all possible answer for the area of the pepper patch. Which is best described by the middle top option they gave you.

Answer: 12 ounces for $3.75 is the better value

Step-by-step explanation:

The 12-ounce drink for $3.75 is the best deal as it has a lower cost per ounce compared to the 14-ounce drink for $4.50.

To find the best deal, we need to compare the cost per ounce for each drink.

For the 14-ounce drink:

Cost per ounce = $4.50 / 14 = $0.3214 (rounded to four decimal places)

For the 12-ounce drink:

Cost per ounce = $3.75 / 12 = $0.3125 (rounded to four decimal places)

Comparing the cost per ounce, the 12-ounce drink has a lower cost per ounce, making it the better deal.

So, the 12-ounce drink for $3.75 is the best deal.

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Answer:

Step-by-step explanation:

you just graph it

The solution to the expression 1 + (-2/-3) - (-m) when m equals 9/2 is 37/6

From the question, we have the following parameters that can be used in our computation:

The expression is given as

1 + (-2/-3) - (-m)

Also, we have the value of m to be

m = 9/2

Substitute the known values in the above equation, so, we have the following representation

1 + (-2/-3) - (-9/2)

Remove the bracket

= 1 + (-2/-3) + 9/2

Group the fractions

= 1 + (2/3 + 9/2)

Take the LCM and add

= 1 + (4 + 27)/6

So, we have

= 1 + 31/6

Take the LCM and add

= (6 + 31)/6

So, we have

= 37/6

Hence the solution to the expression is 37/6

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The function is never negative.

option D is the correct answer.

A negative function is a function in which the resulting y value is negative.

Also, a negative function is a function that has y values that are less than zero for any x values. In other words, a negative function has a negative sign in front of its output.

From the given graph, the x and y values started from 0 and increases into the positive direction, so we can conclude that the function can never be negative.

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Answer:

31 days

Step-by-step explanation:

C = 35 + 10d

345 = 35 + 10d

310 = 10d

d = 31 days

Answer:

First, multiply both the numerator and denominator by

✔ 7 – i

The product in the numerator is

-20

+

10 i.

The product in the denominator is

50

The quotient of 5i and 2 − i is

-1

+

2 i.

on edge

Step-by-step explanation:

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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Answer:

268.4

Step-by-step explanation:

20% in decimals is 0.2

to find 20% of 1342, you multiply 0.2 by 1342

0.2 x 1342 = 268.4

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer:

15.81 is the answer.

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

(f - g)(2) = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

g(x) = 5x + 2

Step 2: Find

Answer: I think it is 48

Step-by-step explanation:

I divided the total number of chairs by 3. Which are the red chairs.

Answer:

The answer is 48 are red.

Step-by-step explanation:

If there are a total of 144 chairs then all you need to do is divide 144 by 3 which gives you 48. Meaning there are 48 red chairs to 96 blue chairs.

The area of the triangle is 52.32 square units

from the question, we have the following parameters that can be used in our computation:

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Answer:

Step-by-step explanation:

uhh

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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The present values of the first six and the second annual payments of $14,000 by C&H Ski Club are $66,731.56 and $47,420.96, respectively.

The present value represents the discounted value of future cash flows.

The present value of future annual cash flows can be computed using the present value annuity table or formula.

We can also compute the present value of the annual cash flows using an online finance calculator as below.

Six Annual Payments = $14,000

N (# of periods) = 6 years

I/Y (Interest per year) = 7%

PMT (Periodic Payment) = $14,000

FV (Future Value) = $0

Results:

PV = $66,731.56

Sum of all periodic payments = $84,000 ($14,000 x 6)

Total Interest $17,268.44

Four Annual Payments = $14,000

N (# of periods) = 4 years

I/Y (Interest per year) = 7%

PMT (Periodic Payment) = $14,000

FV (Future Value) = $0

Results:

PV = $47,420.96

Sum of all periodic payments = $56,000 ($14,000 x 4)

Total Interest $8,579.04

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Therefore, knowing the slant height is important in calculating the lateral area of the pyramid, which is one component of the total surface area.

by the question.

Option 2 is the correct response. Knowing the slant height is helpful because it represents the height of the rectangle that makes up each lateral face of the pyramid. The lateral faces are made up of triangles and rectangles, and the slant height is used to find the height of these rectangles.

Knowing the slant height helps because it represents the height of the rectangle that makes up each lateral face. So, the slant height helps you to find the area of each lateral face. The formula for the lateral area of a pyramid involves the slant height, the perimeter of the base, and the apothem (the distance from the center of the base to the midpoint of a side). Once you know the lateral area, you can add it to the area of the base to find the total surface area of the pyramid.

The slant height of a pyramid is the height of each triangular lateral face, which is an essential component in calculating the lateral surface area of a pyramid. Knowing the slant height is used in the formula for finding the lateral area of a pyramid, which is the sum of the areas of all the triangular lateral faces. Additionally, the base area of the pyramid is also needed to find the total surface area of the pyramid. So, knowing the slant h

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Answer:

m= -1/7

b=2

Step-by-step explanation:

Answer:

C.)

Step-by-step explanation:

that is exactly the definition of the derivative.

the derivative is the limit of

(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h

with h going to 0.

this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.

Answer:hope i helped! sry for the wait .-.

Step-by-step explanation:

Answer:

The answer to your question is:  Area and Circumference Like all geometric shapes, circles take up space and a formula is required to calculate the area.

Step-by-step explanation:

I hope this helps and have a wonderful day!

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32

4(6+2) = 4 x 8 = 32

they are equal to each other.

Answer: B. =

Segment CD is longer and 0.3 units longer if the points A, B, C, and D have the coordinates: A: (-3, 7) B: (1, 2) C: (-3, 1) D: (3,-2).

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

It is given that:

Points A, B, C, and D have the following coordinates: A: (-3, 7) B: (1, 2) C: (-3, 1) D: (3,-2)

Using the distance formula to calculate the distance between the points:

\(\rm AB=\sqrt{(1+3)^2+(2-7)^2}\)

AB = √41 = 6.4 units

Similarly,

CD = √45 = 3√5 = 6.7 units

CD is longer

6.7 - 6.4 = 0.3 units longer

Thus, segment CD is longer and 0.3 units longer if the points A, B, C, and D have the coordinates: A: (-3, 7) B: (1, 2) C: (-3, 1) D: (3,-2).

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Answer:

15

Step-by-step explanation:

(3×3-3)^2 :3 +3 =

(9 - 3) ^2 :3 +3 =

6 ^2 :3 +3 =

36 :3 +3 =

12 +3 =

15

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11. Option C

The domain of a function refers to the entire area for which the function returns a value. The function in this case is; f(x) = x^2 - 3x - 28/x + 4. The domain of the function will be real numbers except -4.

Hence, we can say that domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11.

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Answer:

The answer is C.