Write Quadratic Functions Given Three


Points In A Plane. (worksheet)

Answer:

#nickels = 50

#dimes = 100

Step-by-step explanation:

system of equations:

n + d = 150

.05n + .10d = 12.50

let n = '150 - d' and substitute this into the second equation

.05(150-d) + .10d = 12.5

7.5 - .05d + .10d = 12.5

.05d = 5

d = 5/.05

d = 100

n = 50

The value of y is 26.

We have,

From the figure,

∠1 and 3y - 4 are corresponding angles.

Now,

Corresponding angles are equal.

So,

m∠1 = 3y - 4

74 = 3y - 4

74 + 4 = 3y

3y = 78

y = 26

Thus,

The value of y is 26.

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Estimating the quotient 6,581 divided by 77 gives 66

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

6,581 divided by 77 estimation

To estimate the number is to approximate the number

Estimating 6581, we have 6600

Estimating 77, we have 100

This means that

6,581 divided by 77 estimation = 6600/100

Evaluate the quotient

6,581 divided by 77 estimation = 66

Hence, the estimate is 66

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Answer:

9x + 6y

Step-by-step explanation:

Based on Kamila's description, the dot plot that matches her description is Dot plot 1.

The presence of an outlier and the right-skewed distribution can be inferred from the high frequency of data points on the left side of the plot and the single data point that is much larger than the others on the right side.

What is frequency of dot plot?

The frequency in a dot plot refers to the number of dots or data points that appear in a particular bin or category. In a dot plot, each dot typically represents one data point, and the frequency of the dot is the number of data points that have that value. For example, if a dot plot shows the heights of students in a class, with bins for each inch, then the frequency of a particular bin would be the number of students whose height falls within that bin. The frequency can be represented by the number of dots in that bin or by a numerical value.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

Step-by-Step Explanation:Let A be the event that the first dice rolls an odd number, and let B be the event that the second dice rolls an even number. We want to find P(B|A), which is the probability of B given A. This can be found using the formula:P(B|A) = P(A and B) / P(A) We know that P(A) = 1/2, as half the numbers on a six-sided dice are odd.

To find P(A and B), we need to find the probability that both dice roll the desired numbers simultaneously. Since we know that the first dice rolled an odd number, only half of the numbers are possible for the second dice to be even. Therefore, P(A and B) = 1/2 x 1/2 = 1/4. So:P(B|A) = P(A and B) / P(A) = (1/4) / (1/2) = 1/2 or 0.5. Therefore, the probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

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The probability of landing on a number that is a multiple of 3 or odd when spinning the spinner is approximately 0.75, or 75%.

To find the probability of landing on a number that is a multiple of 3 or odd when spinning a spinner with 12 equal-sized sections numbered from 1 to 12, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Favorable outcomes:

Multiples of 3: 3, 6, 9, and 12 (4 favorable outcomes)

Odd numbers: 1, 3, 5, 7, 9, 11 (6 favorable outcomes)

Note: We need to ensure that we don't count 3 and 9 twice since they are both multiples of 3 and odd.

Therefore, there are 9 favorable outcomes.

Total possible outcomes:

The spinner has 12 equal-sized sections, so there are 12 possible outcomes.

Now we can calculate the probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = 9 / 12

Probability = 3 / 4

Probability ≈ 0.75

Therefore, the probability of landing on a number that is a multiple of 3 or odd when spinning the spinner is approximately 0.75, or 75%.

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Answer: I got 29

Step-by-step explanation:

You would plug in 4 in all the spots where the x's are and then solve the problem

Answer:

A. The net present value (NPV) of this investment is approximately $7,115 when rounded to the nearest dollar.

B. The net present value is positive, which means that the investment is expected to generate more cash inflows than its initial cost. Therefore, I would recommend that Ham and Egg invest in this oven. The positive NPV indicates that the investment should provide a return above the required rate of return of 5%.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

A. Compute the net present value of this investment. Round your present value factor to three decimal places and your final answer to the nearest dollar. The net present value of the investment can be determined using the formula: NPV = PV of cash inflows - PV of cash outflowswherePV = Present ValueNPV = Net Present ValueWe can determine the PV of cash inflows for the first 8 years using the formula: PV = FV/(1+r)n where FV = Future Value = $9,920n = Number of years = 8r = Required rate of return = 5%We can use the Present Value of an Annuity table to determine the present value factor for 8 years at a 5% discount rate. The factor is 6.71008. Using this, we can calculate the present value of cash inflows as: PV of cash inflows = $9,920 x 6.71008= $66,806.22The PV of cash outflows is simply the cost of the oven, which is $57,000.NPV = $66,806.22 - $57,000 = $9,806.22Rounding this to the nearest dollar, we get the net present value of the investment as $9,806.B. Determine whether or not you would recommend that Ham and Egg invest in this oven.Since the NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven. The NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

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Answer:

B. {(-3, 4), (-8,0), (3, -8), (-3, -4)}

Step-by-step explanation:

B. is not a function because the x's repeat in this one.

If the x's repeat then it is not a function.

{(-3, 4), (-8,0), (3, -8), (-3, -4)}

The -3 repeats so it is not a function.

Y can repeat, but x cannot.

Hope this helps ya!!

Step-by-step explanation: Tenth is always the first decimal point so 1 rounds down, making it 628.3.

Answer:

628.3

Step-by-step explanation:

A Tenth is the number after the dot. It rounds down 3, therefore, the answer is 628.3.

m = 2.58 b is a linear function that models the scenario as stated.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, At the bakery, loaves cost $2.58 each. The total money spent at the bakery (m) is equal to the product of 2.58 and the number of loaves of bread that were bought (b).

Linear Function for the given condition

(Since all money is spent on the loaves)

m = 2.58 b

Therefore, a Linear function that models the given situation is m = 2.58 b.

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Answer:

I thank it is 1753.4

Step-by-step explanation:

i hope its right

Answer:

this is rational

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

(a) The number of ways to choose 5 colors without replacement from 15 distinct colors, where the order of the choices is not relevant, is given by the combination formula. This is denoted as "15 choose 5," or 15C5, which is equal to 3,003.

(b) If the order of the choices is relevant, then the number of ways to choose 5 colors without replacement from 15 distinct colors is given by the permutation formula. This is denoted as "15 permute 5," or 15P5, which is equal to 3,003,600.

In part (a), we use the combination formula because we want to know the number of ways to choose 5 colors from 15 distinct colors without regard to the order of the choices. This formula is given by nCr = n!/(r!(n-r)!), where n is the number of items to choose from, and r is the number of items to choose. In this case, n = 15 and r = 5, so we have 15C5 = 15!/(5!(15-5)!) = 3,003.

In part (b), we use the permutation formula because we want to know the number of ways to choose 5 colors from 15 distinct colors, where the order of the choices matters. This formula is given by nPr = n!/(n-r)!, where n is the number of items to choose from, and r is the number of items to choose. In this case, n = 15 and r = 5, so we have 15P5 = 15!/10! = 3,003,600.

Overall, the key difference between part (a) and part (b) is whether or not the order of the choices matters. If the order doesn't matter, we use the combination formula (nCr), and if the order does matter, we use the permutation formula (nPr).

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Answer: 99

Step-by-step explanation:

substitute 6 in to the x in the equation

\(6^{2} +10(6)+3\)

36+60+3

96+3

99

Answer:

99

Step-by-step explanation:

(6)^2 +10(6)+3

6^2=6*6=36

10*6=60

36+60+3

99

the unit rate is the same slope

to calculate the slope we only need two points and this formula

where (x2,y2) is a right point from (x1,y1)

I can take two any points for this case i will use (1,5) and (3,15)

we can look (3,15) is right from (1,5) so (3,15) is (x2,y2)

now, replacing

4. how do you know?

the unit rate is the slope, so by formula we can find it

and 5 is the change per unit, we can notice when add a unit of days the big smiles incresses by 5 everytime

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

Answer:

50%

Step-by-step explanation:

35 + 15 = 50

so the other half of the marbles is, 50%

Answer:

7.81%

Step-by-step explanation:

First, you have to calculate the net earnings by calculating the 80% of the gross income:

gross income= $2,400

net earnings= $2,400*80%= $1,920

Then, you have to calculate the percentage that represents the utility bills spending from the net earnings by dividing $150 by the net earnings and multiplying for 100:

($150/$1,920)*100= 7.81%

According to this, the answer is that 7.81% of Terry's net earnings are spent on utilities.

Answer:

7.8

Step-by-step explanation:

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Answer:

slope = \(-\frac{1}{2}\)     if it were in an

Step-by-step explanation:

the graph is a negative and will therefore have a negative slope. to find the slope, pick a point on the graph and find the \(\frac{rise}{run}\).

for instance, start with the point (0,1). Then go down 1 and left 2 to get to the next point on the graph (2,0). 1 is the "rise" and 2 is the "run" hence -1/2 being the slope.

you could also use the slope formula: \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

point 1: (0,1)    (x₁ ,y₁)

point 2: (2,0)    (x₂ , y₂)

\(\frac{0-1}{2-0} =-\frac{1}{2}\)

Answer:

X= -1

Step-by-step explanation:

Answer:

x = -1 or D

Step-by-step explanation:

hope this helps

Applying exponential properties, the simplified base for the function is given as follows:

\(f(x) = 2(3)^{2x}\)

The function is represented by the following definition:

\(f(x) = 2\sqrt[3]{27^{2x}}\)

As an exponent, the function is given by:

\(f(x) = 2(27)^{\frac{2x}{3}}\)

27 can be simplified as follows:

27 = 3 x 3 x 3 = 3³

Hence:

\(f(x) = 2(3^3)^{\frac{2x}{3}}\)

Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:

\(f(x) = 2(3)^{\frac{3 \times 2x}{3}} = 2(3)^{2x}\)

Hence the simplified base for the function is given as follows:

\(f(x) = 2(3)^{2x}\)

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