What is the equation, in standard form, of a parabola that contains the following points?

(-2,15), (0,3), (4,27)

The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

To solve the system of equations:

1x + 0y + 60z = 1

1x + 10y + 0z = 0

0x + 0y + 0z = 0

The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:

From the first equation, we get x = 1 - 60z

From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z

Therefore, the solution to the system can be written as a point in terms of z as:

(x, y, z) = (1 - 60z, -10 + 600z, z)

Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:

(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.

For more questions like Equation click the link below:

https://brainly.com/question/29657983

#SPJ11

Answer:

12

Step-by-step explanation:

Answer: 12b = 60

Step-by-step explanation: 12oz of dough are used for one batch and the letter b represents the number of batches and the ? = the total amount of dough she has and she states she has 60oz of dough and she will be able to make 5 batches of papadums.

Answer:

12b=60

Step-by-step explanation:

give the man above the crown thing

Answer:

3

Step-by-step explanation:

\(18*\frac{1}{6} \\\\3\)

Answer:

=3x

Step-by-step explanation:

18x^1 / 6

=3x

The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

To know more about inflation visit:

brainly.com/question/29065347

#SPJ4

To answer this question we will use the substitution method.

Solving the second equation for y we get:

Substituting the above result in the first equation we get:

Adding like terms we get:

Now, from the above result, we get that the system is inconsistent, therefore it has no solutions.

Answer: No solution.

The rewritten expression in the form of a sum or difference is y = -40x + 9.5.

To rewrite y=ri(-5.1-8x++7) as a sum or difference using algebraic techniques, we will follow these steps:

Step 1: Simplify the given expression, which is:y=ri(-5.1-8x++7)

Let's remove the unnecessary plus sign and simplify:

y=ri(-5.1-8x+7)y=ri(-8x+1.9)

Step 2: Write y as a sum or difference

To write y as a sum or difference, we need to express the given expression in the form of (A + B) or (A - B). We can do that by splitting the real and imaginary parts.

Therefore, we have: y= r(i)(-8x+1.9)y = r(i)(-8x) + r(i)(1.9)

Step 3: Find the value of y

Given that r(i) = 5,

we can substitute this value into the equation above to find y: y = 5(-8x) + 5(1.9) y = -40x + 9.5

To know more about algebraic techniques

https://brainly.com/question/32525842

#SPJ11

Answer:

2x + 200 = 6x + 120

Step-by-step explanation:

Super-Clean house cleaning company:  2x + 200

Power Bright: 6x + 120

Now, they have to be equal because we are trying to find the equation for total charges.

So, your equation would be 2x + 200 = 6x + 120.

Hope this helps!

Answer:

Step-by-step explanation:

Let the number of linear feet = x

Let the total cost = y

Condition One

y = 200 + 2x

Condition Two

y = 120 + 6x

Now you want the ys to be the same.

200 + 2x = 120 + 6x

Positive integers between 100 and 999.

1) Are divisible by 7 = 128

2) Are odd = 450

3) Have the same three decimal digits = 9

4) Are not divisible by 4 = 675

Positive integers between 100 and 999 is 900

1) Number divisible by 7 = 105,112,119.......994

a = 105 , d = 7 , l = 994

l = a + (n-1)d

994 = 105 + (n-1)7

n = 128

2) Are odd half number will  be odd = 900/2

odd number = 450

3) Have same three decimal digit

111,222,333,444,555,666,777,888,999

Total = 9

4)Not divisible by 4

Divisible by 4 = 100,108,112,........996

a = 100, d = 4, l =996

l = a + (n-1)d

996 = 100 + (n-1)4

n = 225

Not divisible by 4 = 900 - 225

Not divisible by 4 = 675

To know more about positive integers click here :

https://brainly.com/question/26051073

#SPJ4

Answer:

what all does it ask

Step-by-step explanation:

The statement true about the function is the vertex is a maximum.

A quadratic function has the formula \(\rm f(x) = ax^2 + bx+ c\), where a, b, and c are integers with an a that is not equal to zero.

Given

The value of a function in the form \(\rm f(x) = ax^2 + bx+ c\) is negative.

As the function is negative then the following is true:

\(\rm a < 1\)

When the leading coefficient is less than one then:

Hence, the statement true about the function is the vertex is a maximum.

To know more about parabolas click the link given below.

https://brainly.com/question/9012441

Answer:

x^2+10

Step-by-step explanation:

2x^2+3-(x^2-7)

2x^2+3-×^2+7

x^2+10

Answer: 13x2.2=28.6

Step-by-step explanation:

13x2.2=28.6

Answer:

nose porque está en una idioma que no se

Answer:

see explanation

Step-by-step explanation:

To show the points are collinear, that is lie on the same line.

Then the slope between A and B, B and C must be equal

Calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(- 3, - 1) and (x₂, y₂ ) = B(6, 5)

\(m_{AB}\) = \(\frac{5+1}{6+3}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)

Repeat with (x₁, y₁ ) = B(6, 5) and (x₂, y₂ ) = C(3, 3)

\(m_{BC}\) = \(\frac{3-5}{3-6}\) = \(\frac{-2}{-3}\) = \(\frac{2}{3}\)

Since the slope between the 2 segments are equal and there is a common point B.

Then the points A, B and C are collinear

If the atmospheric pressure of 5 is measured in millibars, it would correspond to a pressure of 0.5 kPa or a pressure of approximately 1.47 inHg. However, this value should be considered as a rough estimate and would still be subject to the variability of atmospheric conditions.

It is not possible to accurately determine the altitude at which atmospheric pressure reaches 5 without additional information about the context and conditions of the atmosphere being considered. The atmospheric pressure at a given altitude can vary widely depending on factors such as temperature, humidity, and atmospheric composition.

However, in general, atmospheric pressure decreases with increasing altitude. At sea level, the standard atmospheric pressure is about 101.3 kilopascals (kPa). At an altitude of approximately 5.6 kilometers, the atmospheric pressure drops to around 50 kPa. However, this value can vary greatly depending on the conditions of the atmosphere being considered.

It is worth noting that atmospheric pressure is typically measured in units of kilopascals (kPa), millibars (mb), or inches of mercury (inHg). The conversion between these units is as follows:

1 kPa = 10 mb = 0.2953 inHg

Click the below link, to learn more about atmospheric pressure:

https://brainly.com/question/30166820

#SPJ11

Your question seems incomplete. I could not find the exact question details online so I answered in general.

The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

Learn more about probability here:

https://brainly.com/question/15124899

#SPJ4

The expected value of a dice roll is the average outcome of all the possible results.

For example, if you roll a six-sided die, you can expect to get a 3.5 on average since there are an equal number of each of the six possible outcomes (1, 2, 3, 4, 5, 6). Mathematically, you can calculate the expected value of a dice roll by multiplying each possible outcome by its probability of occurring and then adding all of the values together. For example, if you roll a six-sided die, the expected value is (1/6) + (2/6) + (3/6) + (4/6) + (5/6) + (6/6) = 3.5. In other words, the expected value of a dice roll is 3.5.

To know more about  probability refer here:

https://brainly.com/question/30034780

#SPJ11

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

To know more about deviation visit:

https://brainly.com/question/31835352

#SPJ11

Answer:

13

Step-by-step explanation:

Answer:

Negative Correlation.

Step-by-step explanation:

We see that the overall trend is going downward, though it is a bit difficult to spot. We are able to draw a best line of fit, and the slope would be negative.

Answer:

The length of AB is 9 cm.

Step-by-step explanation:

EH = 10 cm, area of EFGH is 35 cm, so

EF = 3.5 cm

BC = AD = 3.5 cm, perimeter of ABCD = 25 cm, so AB = 9 cm since 2(9 + 3.5) = 2(12.5) = 25

Answer: 12

Step-by-step explanation:

When collecting data for a research, the two main types of data that are used are primary data and secondary data.

Reasons:

Haley is conducting a research on the prospective students in the area by

making use of data in previous research carried out by government bodies

including the U.S. census bureau which are a third party to Haley's research.

Haley is making use of secondary data, which are data that others have

already collected directly from the source or origin of the data (primary data)

and made available to researchers to use.

Learn more here:

https://brainly.com/question/18118203

https://brainly.com/question/20519468

Part A: Therefore, the cake weighs 112 ounces. Part B: Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

Part A:

To convert pounds to ounces, we can use the conversion factor: 1 pound = 16 ounces.

Given that the cake weighs 3 (4/1) pounds, we can calculate the weight in ounces as follows:

3 4/1 pounds = 3 pounds + 4/1 pounds = 3 pounds + 4 pounds = 7 pounds

Converting 7 pounds to ounces: 7 pounds × 16 ounces/pound = 112 ounces

Therefore, the cake weighs 112 ounces.

Part B:

To convert gallons to pints, we can use the conversion factors: 1 gallon = 4 quarts and 1 quart = 2 pints.

Given that the running tap dispenses 0.15 gallons of water every second, we can calculate the amount of water dispensed in pints as follows:

0.15 gallons × 4 quarts/gallon × 2 pints/quart = 0.15 × 4 × 2 = 1.2 pints

Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

To know more about ounces:

https://brainly.com/question/25173611

#SPJ4

Answer:10

Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10

The missing side 10.

Option C is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem.

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Thus,

The missing side is 10.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

To learn more about differential equations visit:

brainly.com/question/25731911

#SPJ11

The additional $132 in overtime is added to Kenny's weekly wage calculation, while Sarah's weekly wage is solely based on the number of hours she worked multiplied by their shared hourly wage of $11 per hour,

The expression that represents the weekly wages of both Kenny and Sarah, given that they have an equal hourly wage of $11 per hour and Kenny made an additional $132 in overtime, can be calculated as follows:

Kenny's weekly wage = (11 * k) + 132

Sarah's weekly wage = 11 * s

Therefore, the expression representing the weekly wages of both Kenny and Sarah is:

(11 * k) + 132 for Kenny

11 * s for Sarah

Know more about wage here:

https://brainly.com/question/15431287

#SPJ11