If this is the graph of f(x)= a(x+h) +k, then:

The x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Equation of line A

y=-2/3x-4

When y=0

0=-2/3x-4

4=-2/3x

-6=x

So the x intercept for line A is -6.

Let us find equation of line B by using table

Slope = -1

Now let us find y intercept

2=-1(-1)+b

b=3

So equation is y=-x+3

Now let us find the  x intercept

Put y=0

0=-x+3

x=3

(3, 0) is x intercept of line B

Hence, the x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

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By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

What is the parallel lines?

Parallel lines are two lines in a plane that never intersect.

1. Orientation of Lines:

Parallel lines are lines that never intersect and remain equidistant from each other at all points.

When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.

On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.

2. Tools/Methods Used:

Constructing parallel lines and constructing perpendicular lines may require different tools or methods.

To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.

Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

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Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

it's square root is 223.

it has 3 digits as 2 2 3..

3 is answer..

Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

Answer:

Step-by-step explanationSince both terms are perfect cubes, factor using the sum of cubes formula,  Since both terms are perfect cubes, factor using the sum of cubes formula,  

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Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Answer:

Step-by-step explanation:

The tractor-trailer rig is a fixed input under the circumstances described because it is necessary for the business to service this profitable market and it cannot be replaced with any other type of capital equipment. The tractor-trailer is a quasi-fixed input because it has a five-year contract that requires monthly lease payments, so it is not completely fixed in the sense that the business can replace it with another piece of capital equipment at any time.

Answer:

Step-by-step explanation:

4/mx

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

question 18. the height of the cylinder is approximately 8.45 cm.

question 19. the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.

I dont know how to do question 20, sorry.

question 18 explanation

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius of the base, and h is the height.

We are given that the volume is 6000 cm^3 and the diameter (which is twice the radius) of the base is 30 cm. Therefore, the radius of the base is:

r = d/2 = 30/2 = 15 cm

Substituting the given values into the formula for the volume, we get:

6000 cm^3 = π(15 cm)^2h

Simplifying the equation, we get:

6000 cm^3 = 225πh

Dividing both sides by 225π, we get:

h = 6000 cm^3 / (225π) ≈ 8.45 cm

Therefore, the height of the cylinder is approximately 8.45 cm.

question 19 explanation

If a cylinder has the same height as its width, it means that the diameter (which is twice the radius) of the base is equal to the height. Let's choose a value for the height, for example, let's say the height is 5 cm.

Then, the diameter of the base is also 5 cm, and the radius is:

r = d/2 = 5/2 = 2.5 cm

The formula for the volume of a cylinder is:

V = πr^2h

Substituting the given values, we get:

V = π(2.5 cm)^2(5 cm) = 31.25π cm^3 ≈ 98.17 cm^3

Therefore, if the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.

The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.

To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:

average rate of change = (change in output)/(change in input)

where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.

For the function g(x), let's assume we have the following values:

g(1) = 3

g(1.5) = 4

g(2) = 6

g(1+h) = 3h + 1

Then we can calculate the average rate of change over the intervals as follows:

[1, 2]:

change in output = g(2) - g(1) = 6 - 3 = 3

change in input = 2 - 1 = 1

average rate of change = (change in output)/(change in input) = 3/1 = 3

[1, 1.5]:

change in output = g(1.5) - g(1) = 4 - 3 = 1

change in input = 1.5 - 1 = 0.5

average rate of change = (change in output)/(change in input) = 1/0.5 = 2

[1, 1+h):

change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2

change in input = 1+h - 1 = h

average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

The quotient is (6x + 1) and the remainder is (-7x + 1).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.

So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).

= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.

The same applies to the division of polynomials.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The original price of the game card was approximately $46.58.

When the game can be effectively described by a numerical "characteristic function," such as v(S), which expresses how much any coalition S of players may win with certainty, regardless of the behaviour of the other players, then we can most readily determine the value of the game.

Let x represent the game card's initial cost. So 1 - 0.27 = 0.73, the price would be 0.73x after a 27% drop.

We are aware that 34.00 = 0.73x. We can divide both sides by 0.73 to find x:

x = 34.00 ÷ 0.73

x ≈ 46.58

Thus, the game card's initial cost was only about $46.58.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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════════ ∘◦❁◦∘ ════════

════════════════════

y = -2x² - 8x + 3

════════════════════

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

y = -2×4 +16 + 3

y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

Answer:

the vertex is (-2, 11)

Step-by-step explanation:

F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.

We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4

and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:

F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:

F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11

Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.  

Thus, the vertex is (-2, 11).

Answer:

Ten to the Power.

Step-by-step explanation:

In the number 0.07 the 7 is in the hundredths place and is the same as the fraction 7/100. In the decimal system each place represents a power of 10.

Answer:

LOL ur cheating

Step-by-step explanation:

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

Step-by-step explanation:

40-20 =20 then times 3 which is 60.

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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Answer: 3y6u3

Step-by-step explanation:0-3

Look at what image I've attached. You start at positive 40 (on the right side of 0) and you end at -5 (left side of 0). How many spaces did you move back? -45 is the total difference

Answer:

There is an insane amount of possibilities for this, asking me to guess is legitimately unfair. Still, you deserve an answer.

90 + 90

45 + 135

120 + 60

150 + 30

10 + 170

20 + 160

140 + 40

130 + 50

120 + 60

And so on

Answer:

The number of people ​surveyed was 330.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for this interval is:

\(MOE= z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

\(\hat p=0.37\\MOE=0.05\\\text{Confidence level}=0.94\\\Rightarrow \alpha=0.06\)

The critical value of z for 94​% confidence level is, z = 1.88.

*Use a z-table.

Compute the value of n as follows:

\(MOE= z_{\alpha/2}\cdot \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

      \(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)

         \(=[\frac{1.88\times \sqrt{0.37(1-0.37)}}{0.05}]^{2}\\\\=(18.153442)^{2}\\\\=329.5475\\\\\approx 330\)

Thus, the number of people ​surveyed was 330.

Answer:

329  people were​ surveyed

Step-by-step explanation:

Percent of people polling yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?"= 37 %

Margin error in the poll=5%

Confidence Interval=94%

The alpha value =1-0.94= 0.06

The Z ( critical value) for Confidence Interval of 94% =1.88

The sample size is given by

\(n=pq(\frac{z}{e})^2\)

where, p=0.37, q=0.63,  e= 5/100= 0.05, z=1.88

therefore,

\(n=0.37\times0.63(\frac{1.88}{0.05})^2\)

=329.54745

=329  people were​ surveyed

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Answer:

  (-1, -3)

Step-by-step explanation:

Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). That is not among the answer choices, so you must select the answer choice that has the smallest y-value that is -8 or greater.

  (-1, -3) is the closest to the local minimum

Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater.  (-1, -3) is the closest to the local minimum.

In mathematics, a function is a statement, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot include multiple values for f(x). A function connects an element x with an element f(x) within another set, which utilises the language underlying set theory. Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater.  (-1, -3) is the closest to the local minimum.

Therefore,  (-1, -3) is the closest to the local minimum.

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The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Solution,

B+22=180°

or,b=180-22

b=158°

Hope it helps

Good luck on your assignment

Answer:

158°

Step-by-step explanation:

b = 180-22= 158°{ angles in a straight line sum up to 180° meaning 22+b = 180°}