Select the correct answer. Determine which statement is true about the zeros of the function graphed below. An upward parabola f on a coordinate plane vertex at (1, 4) and intercepts the y-axis at 5 units. A. Function f has one real solution and one complex solution. B. Function f has exactly one real solution and no complex solutions. C. Function f has exactly two real solutions. D. Function f has exactly two complex solutions.

Answer:

y = x + 2

Step-by-step explanation:

y = mx + b

Point (0, 2) shows that the y-intercept is 2, so b = 2.

y = mx + 2

Now we find the slope using the 2 points, (0, 2) and (2, 4).

m = (4 - 2)/(2 - 0) = 1

y = x + 2

The distinct orders of light bulbs are there if two light bulbs of the same color are considered identical = 4,620

Here, the total number of bulbs = 11

The number of red light bulbs = 3

The number of yellow light bulbs = 2

and the number of  pink light bulbs = 6

We know that the formula for the permutation with repetition is:

n! / (n1! × n2! x ... × nk!)

We use this formula to find the required number of light bulbs.

Here, two light bulbs of the same color are considered identical

We divide by 3! in order to adjust for overcounting, because we have 3 red light bulbs.

simmilarly for the 2 yellow light bulbs, we divide with 2!.

and for the 6 pink light bulbs, we divide by 6!

Thus, the total number of distinct orders of bulbs will be:

11! / (3! × 2! × 6!) = 4,620

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190 percent. you can find this by dividing the numerator by denominater

Answer:

190%

Step-by-step explanation:

19/10 = 19 ÷ 10 = 1.9

1.9 x 100 = 190%

Monthly you should deposit approximately $43 to accumulate ​$76,000 in 4 ​years.

Given that,

f = $76,000

r = 4% = 0.04/12 = 0.0033

n = 4×12 = 48

We know that, a = (f×r)/((1+r)ⁿ⁻¹)

a is the annuity.

f is the future amount.

r is the interest rate per time period.

n is the number of time periods.

Here,

a = (76,000 ×0.0033)/((1.0033)⁴⁸⁻¹)

a = 76,000 ×0.0033×0.17132

a = 42.96

a ≈ $43

Therefore, monthly you should deposit approximately $43 to accumulate ​$76,000 in 4 ​years.

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1. AB is a tangent, the triangle is a right triangle

2. AB is  not a tangent, the triangle is not a right triangle and hence not a Pythagorean triple

3. arc RS = 100 degrees

4. arc ST =  80 degrees

5. arc RTS = 260 degrees

6. arc RST = 180degrees

7. x = 3

8. x = 7

A tangent will obey Pythagorean triple hence we have that

AB^2 = AC^2 + BC^2

1. AB^2 = 24^2 + 10^2 = 676

AB = sqrt (676) = 26. hence AB is a tangent

2. AB^2 = 8^2 + 11^2 = 185

AB = sqrt (185) = 13.6. hence AB is not a tangent

Length of arc

3. arc RS = 100 degrees (central angle equals intercepted arc)

4. arc ST = 180 - arc RS = 180 - 100 = 80 degrees

5. arc RTS = 180 + arc ST = 180 + 80 = 260 degrees

6. arc RST = 180degrees (semicircle)

Value of x

7. x + 8 = 5x - 4

8 + 4 = 5x - x

12 = 4x

x = 3

8. 4x + 5 = 6x - 9

4x - 6x = -9 - 5

-2x = -14

x = 7

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Answer:

x = 3

Step-by-step explanation:

4x + 2x - 3 = 15 ← collect like terms on left side

6x - 3 = 15 ( add 3 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

x=3

Step-by-step explanation:

You can start of by adding 4x and 2x because they both share the same variable "x". Now you have 6x-3=15. Using the addition property of equality, you can add 3 on both sides of the equation to cancel it out. You are left with 6x=18. Divide both sides by 6 and that leaves you with x=3

The coordinates of vertex B' are (76, -86).

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 9 centered at the point D (-5, 5) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate B, we have;

Coordinate B = (4, -4)  →  (9(4 - (-5)) + (-5), 9(-4 - 5) + (-5))

Coordinate B = (4, -4)  →  (9(9) - 5, 9(-9) - 5)

Coordinate B = (4, -4)  →  (81 - 5, -81 - 5)

Coordinate B' = (76, -86).

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Complete Question:

ΔABC with vertices at A (-1, -1). B (4,-4), and C (2, -6) is dilated by a scale factor of 9 to create ΔA'B'C'. The center of dilation is the point (5, -6).

What are the coordinates of vertex B'?

Answer: it’s C, cubic

Step-by-step explanation:

Answer:

[C] Cubic

Step-by-step explanation:

Let find define all the answer choices:

Linear- Straight Line

Quadratic -  shape of a U or an upside down U

Cubic - trivalent graphs, are graphs all of whose nodes have degree 3

Exponential- curve that has a horizontal asymptote and it either has an increasing slope or a decreasing

As a result, the graph given is a Cubic graph.

RevyBreeze

If Mark  used 12.4 lbs to make a sculpture, and 0.75 lbs for each mug then the number of mugs he can make is 57.

Mark bought 55 lbs of clay for his art projects

He used 12.4 lbs to make a sculpture

The left over clay is 55-12.4 = 42.6

We know that 0.75 lbs for each mug

We have to find the number of mugs he can make from left over clay

To find this we have to divide 42.6 by 0.75

Number of mugs = 42.6/0.75

=56.8

=57

Hence, if Mark  used 12.4 lbs to make a sculpture, and 0.75 lbs for each mug then the number of mugs he can make is 57.

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∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.

option A.

Supplementary angles are the two angles that sum up to 180 degrees.

That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.

From the given diagram we can form the following equation;

∠ AFE + ∠ AFB = 180 (supplementary angles or sum of angles on a straight line )

∠ AFE = 180 - ∠ AFB

∠ AFE = 180 - 78

∠ AFE = 102⁰.

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The laplace transform is Y(s) = (7 + e^{-s}/s) / (s² - 5s)

The solution y(t) is y(t) = (-e^{5-t} + 2e^{-5} - 6(t-1) + 7u(t-1))/25.

The solution can be expressed as a piecewise-defined function:

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25, t < 1

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25 + (t-1)/25, t ≥ 1

We have,

a.)

To find the Laplace transform of the solution, we first take the Laplace transform of both sides of the differential equation using the initial value theorem, which states that the Laplace transform of the derivative of a function y(t) is sY(s) - y(0):

s²Y(s) - s y(0) - y'(0) - 5(sY(s) - y(0)) = e^{-s}

Simplifying and solving for Y(s), we get:

Y(s) = (7 + e^{-s}/s) / (s² - 5s)

b.)

To obtain the solution y(t), we use partial fraction decomposition to separate Y(s) into two terms:

Y(s) = A/(s-5) + B/s + C/(s-5)^2

Multiplying both sides by the denominator, we get:

7 + e^{-s}/s = A(s-5)² + Bs (s - 5) + C(s)

Setting s = 0, we get:

7 = 25A - 5B + 0C

Setting s = 5, we get:

7 + e^{-5}/5 = 0A + 5B + 5C

Taking the derivative with respect to s and setting s=0, we get:

0 = 10A - B

Solving these equations, we get:

A = -1/25

B = -2/5

C = 6/25

Therefore, the solution y(t) is:

y(t) = (-e^{5-t} + 2e^{-5} - 6(t-1) + 7u(t-1))/25

Where u(t) is the unit step function.

c.)

The solution can be expressed as a piecewise-defined function as follows:

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25, t < 1

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25 + (t-1)/25, t ≥ 1

At t = 1, there is a discontinuity in the first derivative of the solution due to the presence of the delta function in the original differential equation.

This causes a sudden jump in the slope of the graph of the solution.

Thus,

The laplace transform is Y(s) = (7 + e^{-s}/s) / (s² - 5s)

The solution y(t) is y(t) = (-e^{5-t} + 2e^{-5} - 6(t-1) + 7u(t-1))/25.

The solution can be expressed as a piecewise-defined function as:

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25, t < 1

y(t) = -e^{5-t}/25 + 2e^{-5}/25 - 6(t-1)/25 + 7/25 + (t-1)/25, t ≥ 1

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The velocity of the meteorite is 4 km per sec.

Given that, a meteorite is approaching the earth and is 10000 km away from earth,

we need to find the velocity,

v = k / √d

v = 400 / √10000

v = 400 / 100

v = 4 km per sec.

Hence, the velocity of the meteorite is 4 km per sec.

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The velocity at a distance of 6,889 kilometers is 6.795 Km/ sec.

We have,

The velocity v of a meteorite approaching earth is V = k/√d.

The distance from center of Earth = 8836

and, Velocity = 6 Km/ s

So, using the formula for velocity

6 = k/√8836

6 = k/94

k= 564 Km

Now, velocity at 6689 Km

V = 564/ √6889

V =6.795 km/sec

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A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In this question, we have an horizontal line, meaning that it has a constant y-coordinate for each value of the y-input. Hence the graph represents a function.

For the domain and the range, we have that:

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Answer: Broken Math Problem

Step-by-step explanation:

The rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.

To find the rate at which the temperature of the compound rose, we need to divide the change in temperature by the time interval during which the change occurred.

The temperature rose 3¹/₂ degrees every 2/3 of an hour. To write this as a fraction, we can first convert 3¹/₂ to an improper fraction:

3¹/₂= 7/2

Now, we can write the rate of change as a fraction:

Rate of change = (7/2) / (2/3)

To divide by a fraction, we can multiply by its reciprocal:

Rate of change = (7/2) x (3/2)

Simplifying, we get:

Rate of change = 21/4

Therefore, the rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.

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According to the figure,

a. angle LCQ is 45 degrees

b. the major arc are KPR and QRPK

c. congruent minor arcs are LQ and QR

d. the three arcs that form a semicircle are RP,  LQ ,and QR

A major arc designates a segment of an arch with a measurement which surpasses 180 degrees.

Geometrically, the circle, a closed curve, exhibits all its points uniformly spaced from a central focal point named the center of the circle.

The arc is regarded as major when it comprises a superior portion of the circular geometry, extending beyond half of the total circumference.

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The area of the shaded region for the normal distribution is approximately 0.6985.

We have,
To find the area of the shaded region under the standard normal distribution curve between z = -0.87 and z = 1.24, we can use a standard normal distribution table or a calculator with a standard normal distribution function.

Using a standard normal distribution table, we look up the area to the left of z = -0.87 and the area to the left of z = 1.24 and then subtract the smaller area from the larger area to find the area between z = -0.87 and z = 1.24.

The table value for z = -0.87 is 0.1949, and the table value for z = 1.24 is 0.8934.

The area between z = -0.87 and z = 1.24 is:

= 0.8934 - 0.1949

= 0.6985

So the area of the shaded region is approximately 0.6985.

Thus,

The area of the shaded region for the normal distribution is approximately 0.6985.

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The probability of dying from heart disease is 0.1667 or 16.67%.

The odds in favor of an event are defined as the ratio of the probability of the event occurring to the probability of the event not occurring. In this case, the odds in favor of dying from heart disease are 1 to 5.

So, we can set up the following equation:

Odds in favor of dying from heart disease = probability of dying / probability of not dying

1/5 = probability of dying / probability of not dying

We can solve for the probability of dying by cross-multiplying:

probability of dying = odds in favor of dying from heart disease / (odds in favor of dying from heart disease + 1)

probability of dying = 1 / (1 + 5)

probability of dying = 1/6

Therefore, the probability of dying from heart disease is 0.1667 or 16.67%.

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The value of the radius is 13.04

Pythagoras theorem states that: The sum of square of the two legs of a right triangle is equal to the square of the other side.

Therefore c² = a² + b²

Since MN is perpendicular to JK , this means MK = JM = JK/2

= 14/2 = 7

HI = JK, therefore LI is also 7

and MN = LN = 11

Therefore,

NI =√ LN)² + LI)²

NI = √ 11² + 7²

NI = √121+49

NI = √ 170

NI = 13.04( nearest hundredth)

therefore the radius of the circle is 13.04

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movies 1.75 each

games 5.75 each

The firm set 14.49% as the required rate of return for the project.

We will first calculate the Project's discount rate which can we calculated using the formula that:

= Rf rate + Beta*risk premium

= 3.0% + 1.29*7.2%

= 3.0% + 0.09288

= 0.12288

= 12.29%

The required rate of return for the project will be:

= Project's discount rate + Adjustment rate

= 12.29% + 2.2%

= 14.49%

Thus, the firm set 14.49% as the required rate of return for the project.

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The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.

The cost price is the difference between the selling price and the profit or gain.

The difference is determined by subtraction.

Selling price of the article = Rs. 150

Loss if sold at Rs. 135 = 50% of the original gain

Original gain = Rs. 15 (Rs. 150 - Rs. 135)

50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)

Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)

Thus, the cost price is Rs. 127.50.

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0.034141137 o sobre 17/500

The ROE (return on equity) for this project if it produces an EBIT (earnings before interest and taxes) of $140,000 is given by A = 15 %

Given data ,

The Return on Equity (ROE) is calculated as the ratio of Net Income to Equity. Net Income is the EBIT (earnings before interest and taxes) minus the taxes, and Equity is the total assets minus the debt.

EBIT = $140,000

Tax rate = 25%

Total assets = $700,000

Debt = 0% (since the project is financed with 100% equity)

Taxes = Tax rate x EBIT

Taxes = 0.25 x $140,000

Taxes = $35,000

And , the net income is

Net Income = EBIT - Taxes

Net Income = $140,000 - $35,000

Net Income = $105,000

Now , the ROE is given by

ROE = (Net Income / Equity) x 100%

ROE = (Net Income / Total assets) x 100%

ROE = ($105,000 / $700,000) x 100%

ROE = 15%

Hence , the ROE is 15 %

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Answer:

Step-by-step explanation:

ask ur teacher

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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The match of the given words as per the definition of the terms related to data set is as follow.

1 → g

2 →c

3 → b

4 → d

5 → f

6 → a

7 → e

The description of the each word as per the definition is ,

Mean represents the average of the data.

1→g

Spread represents the similarity or variability of  the set of observed values of the data.

2→c

Center represents the middle value of the data set.

3→ b

Shape represents the values of the data set when plotted on the graph.

4 → d.

Median represents the middle value of the data set after arranging in ascending or descending order.

5 →f

Distribution represents measure of all the values of the data set spread.

6→a

variability represents the set of such values which satisfies the statistical question or relation.

7 → e.

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Answer:

i believe the answer would be option D

Step-by-step explanation:

Answer:

x = 3; z = 60°

Step-by-step explanation:

x:

The angles measuring 120° and (8x + 96)° are vertical angles, which means they're congruent and equal.

Thus, we can solve for x by setting the two angles equal to each other and isolate x:

[tex]120=8x+96\\24=8x\\3=x[/tex]

We can check our answer by plugging in 3 for x and ensure that we get 120:

[tex]120=8(3)+96\\120=24+96\\120=120[/tex]

z:

We see that a horizontal straight line separates the angle measuring 120° and z°.  Straight lines create straight angles, which equal 180°.

Thus, we can find the measure of z by adding the 120° angle and the z° and set them equal to 180.  Then, we must isolate z:

[tex]120+z=180\\z=60[/tex]