Select which of the following indicates the solution of a quadratic equation once it has been graphed.
a. Vertex b. y-intercept(s) c. x-intercept(s) d. Axis of symmetry

Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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the only one i can think of at the moment in pinterest

Step-by-step explanation:

sorry thats all i can think of

Answer:5/6

Step-by-step explanation:

simplify

Answer:

I would say that by the 20th figure, there would be more than 400 small triangles by the 20th figure.

Step-by-step explanation:

Based on figure 1 and 2, I'm guessing the ratio is 2.

Figure 4: 32

Figure 5: 64

Figure 6: 128

Figure 7: 256

Figure 8: 512

Figure 9: 1,024

The x-coordinate of point C on line segment AB, which partitions the segment into a 2:8 ratio, is 6. To find the x-coordinate of point C, we need to determine the position on line segment AB that corresponds to a 2:8 ratio.

The given points are A(3, y) and B(8, 10). We can see that the x-coordinates of points A and B are 3 and 8, respectively.

To divide the segment AB into a 2:8 ratio, we can calculate the difference between the x-coordinates of A and B, which is 8 - 3 = 5.

Since the ratio is 2:8, we need to find the point C such that the distance between A and C is 2/10 times the total distance between A and B.

The distance between A and C can be calculated as (2/10) * 5 = 1.

Starting from point A, we need to move 1 unit to the right along the x-axis to reach point C. Therefore, the x-coordinate of point C is 3 + 1 = 4.

Thus, the x-coordinate of point C on line segment AB that partitions the segment into a 2:8 ratio is 4.

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Answer:

Step-by-step explanation:

y=mx+c.... first find m(gradient/slope)

m=Y2-Y1/X2-X1

m=8-4/-6-2

m=4/-8

m=-1/2

Then find c

Take any point and fix in x and y

4=-1/2(2) +c

4=-1 +c

c=4+1=5

Therefore y=-1/2x+5

y+1/2x-5=0

The acceleration of the drone is -105 m/s^2.

The acceleration of a given object is the rate of its change in velocity to the time taken. It is a vector quantity, and measured in m/s^2.

acceleration = change in velocity/ time

a = (v f-vi)/ t​

a = acceleration

v f = final velocity

vi = initial velocity

t = time​

In the given question, we have;

a = ?

v f = 0 m/s

vi = 21 m/s

t = 0.2

a = (v f-vi)/ t​

  = (0 - 21)/ 0.2

a = -105 m/s^2

Thus the acceleration has a value of 105 m/s^2.

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Answer:

y=5

Step-by-step explanation:

For two triangles to be congruent, the three angles of one triangle must be congruent to the three angles of the other triangle, AND the three side lengths of one triangle must be congruent to the three side lengths of the other triangle.

Notice that the three angles in each triangle have markings with little arcs.  This is shorthand to represent that the angles are congruent to other angles with the same number of arcs.  Therefore,

So, this means that for the sides to match up, it will be easier to imagine rotating the second triangle counter clockwise so it is in the same orientation.

Side EG of Triangle 1 and Side HK of Triangle 2 are both 31 mm.

Side GF of Triangle 1 and Side KJ of Triangle 2 are both 24 mm.

So, in order for the two triangles to be congruent, side EF of Triangle 1 and Side HJ of Triangle 2 must be the same length.

Since we're asked to find the value of the variable that results in congruent triangles, we'll set the expressions equal to each other

\(length_{EF}=length_{HJ}\)

\(7y-10=25\)

Add 10 to both sides...

\(7y=35\)

Divide both sides by 7...

\(y=5\)

Answer:

B.5

Step-by-step explanation:

5*12=60

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

The two polygons are similar if the corresponding angles are congruent and the corresponding sides are proportional,the value of x is 8.

The two polygons are similar if the corresponding angles are congruent and the corresponding sides are proportional. Therefore, the ratio of the lengths of the sides of the two polygons is equal to the ratio of the measures of the corresponding angles.

In this case, the ratio of the corresponding side lengths of the two polygons is equal to the ratio of the measures of the corresponding angles. The ratio of the lengths of the two sides of the larger polygon (x-3 , 8 and 16) is (x-3)/8 : 8/16. This ratio is equal to the ratio of the measures of the corresponding angles of the two polygons, which is 2.5/2 : 2/4.

Equating these two ratios, we get (x-3)/8 = 2.5/2 and 8/16 = 2/4. Solving these two equations, we get x-3 = 5 and 8 = 4. Adding 3 to both sides, we get x = 8. Hence, the value of x is 8.Therefore, the value of x is 8.

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the volume of the pyramid is 7954 cubic units.

To find the volume of a pyramid with a rectangular base using integration, we can integrate the cross-sectional area of the pyramid as we move along the height.

Given that the height of the pyramid is 19 and the rectangular base has dimensions 4 and 11, we can consider the rectangular base lying on the xy-plane with the longer side parallel to the x-axis.

Let's define our coordinate system with the origin at the center of the base, such that the vertex of the pyramid lies along the positive z-axis.

At any height y between 0 and 19, the length of the rectangular base in the x-direction is given by the linear function x(y) = (11/19)y, and the width in the y-direction remains constant at 4 units.

The differential volume element at height y is then given by dV = 4 * x(y) * dy.

To find the total volume, we integrate the differential volume element over the range of y from 0 to 19:

V = ∫[0, 19] 4 * x(y) * dy

 = ∫[0, 19] 4 * (11/19)y * dy

V = 4 * (11/19) * ∫[0, 19] y * dy

 = 4 * (11/19) * [y²/2] evaluated from 0 to 19

V = 4 * (11/19) * (19²/2 - 0²/2)

 = 4 * (11/19) * (361/2)

 = 2 * 11 * 361

 = 7954

Therefore, the volume of the pyramid is 7954 cubic units.

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a. The data is modelling an exponential function, because when x increases by one, y is multiplied by a value.

b. The function that represents the data is; y = 2(2)^x.

c. The average rate of change between station 2 and station 4 is: 4.

The general form of an exponential function is expressed as;

y = a(b)^x.

where;

a is the y-intercept of the function. (Value of y when x = 0)

b is the rate of change of the function. (value by which y is multiplied when x is increased by 1.)

From the given coordinate points, the coefficient b is calculated as;

b = 32/16 = 16/8 = 8/4 = 2.

If we take into consideration the rate of change, then the parameter a is obtained as the division of 4 by 2, because when x = 1, y = 4. Thus;

a = 4/2 = 2.

Therefore the function is defined as; y = 2(2)^x.

When x increases by 1, we see that the rate of change is 2. Thus, when x increases by 2, the average rate of change between station 2 and station 4 is; 2² = 4.

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So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

Answer:

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

Given sum of cubes, use identity a³ + b³ = (a + b)(a² - ab + b²):

The matching choice is B.

Answer:

B)  (2x + 3)(4x² - 6x + 9)

Step-by-step explanation:

Given expression:

\(8x^3+27\)

Rewrite  8 as 2³  and  27 as 3³:

\(\implies 2^3x^3+3^3\)

\(\textsf{Apply exponent rule} \quad a^nc^n=(ac)^n:\)

\(\implies (2x)^3+3^3\)

\(\boxed{\begin{minipage}{5 cm}\underline{Sum of Cubes Formula}\\\\$a^3+b^3=(a+b)(a^2-ab+b^2)\\\end{minipage}}\)

Therefore:

Using the Sum of Cubes formula:

\(\begin{aligned}\implies (2x)^2+3^3&=(2x+3)((2x)^2-2x(3)+3^2)\\&=(2x+3)(4x^2-6x+9)\end{aligned}\)

Thus, while a chi-square test for goodness of fit is a useful tool for assessing the overall fit of a logistic regression model, it is important to also consider other measures of model fit and to interpret the results in the context of the research question being addressed.

When testing the goodness of fit for the logistic regression model, if the obtained chi-square is less than the critical value, one would accept the null hypothesis, which states that the model fits the data well.

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Answer:

slope= -5/2

slope= -1

slope=1/2

10. slope=-1/3

-5y=7x+20

y=-7/5x-4

11. slope=-7/5

y=-5x+3

12. slope = -5

Answer: 129 Feet

Step-by-step explanation:

You can make an equation where Height=h, and Base=b. So going backwards with the first question, the base will equal 4 times the height: b=4h, and 11 less. b=4h-11. The the other equation will be just that the base plus the height is 49. b+h=49. Then you put that into y=mx+b form. The first equation already is, and the second equation would be b=49-h. So, since the equations equal the same things, you throw away the b. Then you make a new equation by having 4h-11 equal 49-h. Since this is true seeing as they are the same triangle. Then you just use propreties of equality for the equation. You end up with 5h=60. The. You divide 60 by 5 to make 5h just equal h. So you get h=6. Then, like the qeuation said, the base (unknown) plus the height (6) is 49. So to get from 6 to 49, the answer is 43. The formula for that area of a triangle is (base x height) /2 = area. So 43 times 6 is 258. Then divided by 2 is 129. So the area of the triangle is 129.

The area of the triangle is 222 square feet.

The formula for calculating the area of the triangle is expressed as:

A = 0.5bh

The base of a triangle is eleven feet less than  four times its height,

b = 4h - 11

Also, if the sum of the lengths of  the base and height of the triangle is 49 is expressed as:

b + h = 49

4h-11+h = 49

5h = 49 + 11

5h = 60

h = 12

Since 4h = b + 11

4(12) = b + 11

b = 48 - 11

b = 37

A = 0.5(12)(37)

A = 222ft^2

Hence the area of the triangle is 222 square feet.

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Answer:

7

Step-by-step explanation:7

Answer:

-8/9

Step-by-step explanation:

-1 1/8

=> - 9/8

=> Multiplicative inverse of 9/8 is:

=> - 8/9 [Sign does not change only the numerator goes to the denominator and denominator to the numerator]

=> -8/9 is the multiplicative inverse of -1 1/8

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

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

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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The probability that the first student is a boy and the second student is a girl is 7/26.

To answer your question, we'll need to calculate the probabilities for each event and then multiply them together.

Probability of selecting a boy first:
There are 7 boys and 13 students total (7 boys + 6 girls), so the probability is 7/13.

Probability of selecting a girl second:
After selecting a boy, there are now 12 students remaining (6 boys + 6 girls). The probability of selecting a girl is 6/12 (which simplifies to 1/2).

Now, multiply the probabilities together: (7/13) × (1/2) = 7/26

So, the probability that the first student is a boy and the second student is a girl is 7/26.

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In a normal distribution, approximately 50% of the scores will fall below a z-score of 0.

The z-score represents the number of standard deviations a data point is away from the mean in a normal distribution. A z-score of 0 indicates that the data point is at the mean of the distribution. Since a normal distribution is symmetric, with half of the data points below the mean and the other half above it, approximately 50% of the scores will fall below a z-score of 0.

It's important to note that in a standard normal distribution, where the mean is 0 and the standard deviation is 1, exactly 50% of the scores fall below a z-score of 0. However, in a normal distribution with a different mean and standard deviation, the percentage may vary slightly.

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a) The mean and the standard deviation of the amateur golfer’s scores for both the years 2014 and 2015 are given below:2014 Season Mean of scores = (72+76+77+75+73+71+73+75) / 8

= 592 / 8 = 74

Standard Deviation (SD) of scores = 2.29 (rounded to 2 decimal places) 2015

Season Mean of scores

= (69+68+73+75+83+78+69+77) / 8

= 592 / 8

= 74

Standard Deviation (SD) of scores = 5.05 (rounded to 2 decimal places)b)

The primary difference in performance between 2014 and 2015 is that the standard deviation of the scores in 2015 is greater than that in 2014.

This indicates that the scores in 2015 were more spread out or varied than in 2014.

Improvement can be seen in the 2015 scores as the mean of scores in 2015 is less than the mean of scores in 2014. The lower mean score indicates an improvement in the performance of the amateur golfer.

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

D.) (1,4)

Step-by-step explanation:

based on the information you have given the center P has to be at the point (-5,-2)

Since we are shifting up and to the right that means you add 6 to each value

Thus, the new coordinates are:

\(-5+6=1\)

\(-2+6=4\)

(1,4)

plz mark me brainliest. :)

Answer:

OPTION C

Step-by-step explanation:

\( \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} \)

\((x - \frac{3}{4} ) = \frac{5}{6} \)

\(x = \frac{3}{4} + \frac{5}{6} \)

\(x = \frac{9 + 10}{12} \)

\(x = \frac{19}{12}

\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} \)

\( \frac{3}{4} y = 4\)

\(y = \frac{16}{3} \)