Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(1.0)
(2,-1)
(0.3)
(-1,5)

Answer:

(- 1, 0 ) and (3, 0 )

Step-by-step explanation:

Given

3 + 2x - x² = 0 ( multiply through by - 1 and rearrange )

x² - 2x - 3 = 0

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

The factors are - 3 and + 1 , since

- 3 × 1 = - 3 and - 3 + 1 = - 2, then

(x + 1)(x - 3) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

The coordinates of the roots are (- 1, 0 ) and (3, 0 )

Answer:

x multiplied by 6x is 2400. 6x^2 = 2400. x^2=400, X=20

Answer:

± 20

Step-by-step explanation:

let one number be x then the other number is 6x and the product

x × 6x = 2400 , that is

6x² = 2400 ( divide both sides by 6 )

x² = 400 ( take the square root of both sides )

x = ± 20

Thus the number is 20 or - 20

The volume of the solid generated when the region bounded by the graph of y = 2x, the x-axis, and the vertical line x = 3 is revolved about the x-axis is 36π cubic units.

To determine the volume of the solid generated by revolving the region bounded by the graph of y = 2x, the x-axis, and the vertical line x = 3 about the x-axis, we can use the method of cylindrical shells.

The integral expression for the volume is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the region is bounded by x = 0 (the x-axis) and x = 3 (the vertical line), so the limits of integration are a = 0 and b = 3.

The function f(x) represents the distance between the curve y = 2x and the x-axis at each x-value.

Since the curve is y = 2x, the distance between the curve and the x-axis is simply 2x.

Substituting this into the integral expression, we have:

V = ∫[0, 3] 2πx * (2x) * dx

V = 4π ∫[0, 3] x^2 dx

To evaluate this integral, we can use the power rule for integration:

V = 4π * [x^3/3] evaluated from 0 to 3

V = 4π * [(3^3/3) - (0^3/3)]

V = 4π * (27/3)

V = 36π

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

Answer:

1.74

Step-by-step explanation:

Step-by-step explanation:

using set notation

domain (-infinity, infinity)

range(-infinity, 3]

the domain is from negative infinity to infinity

the range is from negative infinity to three

Answer:

I don't know, sorry........

$140.75

Step-by-step explanation:

$350 minus $165.65 is $184.35 . $184.35 minus 43.60 is 140.75 :)

Answer:

-Managing money $$$

-Balancing the checkbook.

-Shopping for the best price.

-Preparing food.

-Figuring out distance, time and cost for travel.

-Understanding loans for cars, trucks, homes, schooling or other purposes.

-Understanding sports (being a player and team statistics)

-Playing music.

These are things we do everyday that use Math.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

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The trinomial expression of (x−3)(2x−5) is 2\(x^{2}\) − 11x + 15.

To express the product of two binomials (x−3) and (2x−5) as a trinomial, we can use the FOIL method or distributive property.

FOIL stands for First, Outer, Inner, Last. We multiply the First terms in each binomial, then the Outer terms, then the Inner terms, and finally the Last terms. We then add these four products together to get our trinomial.

Using the distributive property, we can multiply each term in the first binomial by each term in the second binomial. This gives us four terms, which we can then simplify by combining like terms to obtain the trinomial.

So, using either method, we get:

(x−3)(2x−5) = x(2x) + x(-5) - 3(2x) - 3(-5)

                  = 2\(x^{2}\) -5x -6x + 15

                  = 2\(x^{2}\) − 11x + 15

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The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Answer:

No

Step-by-step explanation:

The answer would be correct, however, it is easier to just multiply across. In multiplication and division, common denominators are not needed.

Answer:

74

Step-by-step explanaction

Formula=multiply the length value by 10

Question 7

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

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

Question 8

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

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Haley sees a total of 40 seats in all.

We have,

Haley is on an airplane with 10 rows of seats.

The rows are arranged in a configuration with a central aisle or path in between.

On the left side of the path, there are 2 seats in each row.

Since there are 10 rows,

Haley sees a total of 2 seats per row x 10 rows = 20 seats on the left side.

Similarly, on the right side of the path, there are also 2 seats in each row. So, Haley sees 2 seats per row x 10 rows = 20 seats on the right side.

To find the total number of seats that Haley sees, we add the number of seats on the left side to the number of seats on the right side:

20 seats + 20 seats = 40 seats.

Therefore,

Haley sees a total of 40 seats in all.

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Answer: B. 1178 cm²

What we are solving for:

   The lateral area is, put simply, the surface area of the cone not including the bottom.

    The formula is:

L = πr\(\sqrt{h^{2} +r^{2} }\)

Height of the cone:

    This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.

a² + b² = c²

15² + b² = 25²

225 + b² = 625

b² = 400

b = \(\sqrt{400}\)

    The height is 20 cm

Solving:

    Back to the formula,

L = πr\(\sqrt{h^{2} +r^{2} }\)

L = π15\(\sqrt{(20)^{2} +(15)^{2} }\)

L ≈ 1178.1 cm²

              The lateral area of the cone is B. 1,178 cm².

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Her total average monthly phone bill is $153.37, which includes $119.68, $84.36, and $68.49 for long distance calls, and $21.00 for local calls.

To calculate the student's total average monthly phone bill, we need to add the student's long distance phone bills ($119.68 + $84.36 + $68.49) and her local phone bill ($21.00) and then divide the total by 3 (the number of months). The total amount of the three long distance phone bills is $272.53 and when added to the local phone bill of $21.00 the total is $293.53. Dividing this total by 3 gives us an average monthly phone bill of $153.37. In summary, the student's total average monthly phone bill is $153.37, which includes $119.68, $84.36, and $68.49 for long distance calls, and $21.00 for local calls.

Long distance phone bills total:

$119.68 + $84.36 + $68.49

= $272.53

Local phone bill: $21.00

Total: $272.53 + $21.00

= $293.53

Average monthly phone bill:

$293.53 / 3

= $153.37

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Answer:

True

Step-by-step explanation:

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Answer

3

Step-by-step explanation:

1/3 times 15 ? is what i belive you are asking?

therefore it is three becasue it you multipy 15 by 1 then divide it by 5, 15 divide 5 is three

Answer:

1.) q less than a number m times 7 is equal to 23

2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4

3.) 6 more than a number k times 9 is equal to 54

4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared

5.) a number g times 3 is equal to 45

(I might be wrong, so try to read the equations out loud to see if you agree)

Answer:

48cm^2

Step-by-step explanation:

base × height=8cm×6cm=48cm^2

Answer:

Area=24cm²

Step-by-step explanation:

\(Solution,\\\\Base(b)=8cm\\\\Height(h)=6cm\\\\Area=\frac{1}{2}* b*h\\\\Area=\frac{1}{2} *8cm*6cm=24cm^{2} .\)

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

The figure W has one Rotational symmetries. This can be observed by rotating the figure by 0 or 180 degrees and noting that the shape remains unchanged. so the correct option is (b).

The letter W has one vertical line of symmetry that divides it into two identical halves. However, it does not have any rotational symmetry of order 2 or higher because there is no way to rotate the letter by a certain angle and have it look the same as before the rotation. Therefore, the answer is (b) 1, as W has only one line of symmetry and no rotational symmetry of order 2 or higher. In other words, if you rotate the letter by any angle other than 0 or 180 degrees, it will look different than before the rotation.

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______The given question is incomplete, the complete question is given below:

How many rotational symmetries does W alphabet have?

a. 0

b. 1

c. 2

d. 3

Answer:

The better buy is 2 ice cream cones for $3.00

Step-by-step explanation:

Step one:

given

You can buy 2 ice cream cones for $3.00

let us solve for the unit cost

3/2= $1.5 per  ice cream cone

Step two:

You can buy 4 ice cream cones for $7.00

let us solve for the unit cost

7/4= $1.75 per  ice cream cone

The better buy is 2 ice cream cones for $3.00 because a cone is $0.25 less expensive than  4 ice cream cones for $7.00.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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