find real numbers a, b, and c so that the graph of the quadratic function y = ax2 bx c contains the points given. (-3, 1)

Answer:

2nd option

Step-by-step explanation:

the recursive rule is

\(a_{n}\) = \(a_{n-1}\) + d ( d is the common difference )

use the explicit rule to find a₁ and d

a₁ = 48 - 11(1) = 48 - 11 = 37

a₂ = 48 - 11(2) = 48 - 22 = 26

then

d = a₂ - a₁ = 26 - 37 = - 11

recursive rule is then

\(a_{n}\) = \(a_{n-1}\) - 11

a₁ = 37

Answer: 36

Step-by-step explanation:

6 x 4 = 24 (top box)

(6 x 4) divided by 2 = 12 (bottom triangle)

Answer:

Step-by-step explanation:

y=9700(0.909)^x

# If the base of an exponential function is an element of the set (0,1) the function is decreasing as the value of 'x' is increasing from negative infinity to positive infinity.

the function y=9700(0.909)^x is an exponential function with a coefficient 9700 and base 0.909, as we increase the value of x from negative infinity to positive infinity, the value of y decreases. So the change between two consecutive 'y' values as 'x' increases indicate decay rather than growth.

And it can be written as y=9700(1-0.091)^x, therefore the percentage decrease is 9.1%

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The values of the vectors obtained from the vector diagram are;

\(\overrightarrow{AB} = - a + b\)

\(\overrightarrow{MN} = ( -2\cdot a + 0.5 \cdot b)\)

\(\overrightarrow{MP} = ( -0.5\cdot b + a+ K \cdot ( - a + b)\)

K = 2.5

A vector can be expressed as a line segment that has a direction.

The given parameters are;

The straight lines are; OAN, OMB, APB, and MPN

AN = 3•OA

The midpoint of OB = M

The vectors

\( \overrightarrow{OA} = a\)

\( \overrightarrow{OB} = b\)

\(\overrightarrow{AP} = K \cdot \overrightarrow{AB} \)

From the question diagram, we have;

\(\overrightarrow{AB} = - a + b\)

\(\overrightarrow{AP} = K \cdot ( - a + b)\)

\(\overrightarrow{MN} = ( -2\cdot a + 0.5 \cdot b)\)

\(\overrightarrow{AN} \) = 2•a

\(\overrightarrow{NP} = \overrightarrow{AP} - \overrightarrow{AN} \)

\(\overrightarrow{NP} = -2\cdot a + K \cdot ( - a + b)\)

\( \overrightarrow{MB} = 0.5 \cdot b\)

\(\overrightarrow{PB} = -a + b - K \cdot ( - a + b)\)

\(\overrightarrow{MP} =0.5 \cdot b - -a + b - K \cdot ( - a + b) = ( -0.5\cdot b + a+ K \cdot ( - a + b)\)

\(\overrightarrow{MP} = ( -0.5\cdot b + a+ K \cdot ( - a + b)\)

Given that we can write;

\(x \cdot \overrightarrow{NP} = \overrightarrow{NM}\)

x × (-2•a + k•(-a + b)) = -3•a + 0.5•b

-2•x•a - k•x•a + x•k•b = -3•a + 0.5•b

Which gives;

-2•x - k•x = -3...(1), and x•k = 0.5...(2)

From (2), x = 0.5÷k

From (1), -2×(0.5÷k) - k×(0.5÷k) = 3

-k - 0.5 = -3

-k = -3 + 0.5 = -2.5

k = 2.5

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Answer:

\(y = \frac{5}{2} x^{2}\)

Step-by-step explanation:

When you scale a parabola vertically, you multiply the \(x^{2}\) by what you are scaling it vertically by.

For example, say you have  \(y = 8x^{2}\). That means that  \(y = x^{2}\) was scaled vertically by a factor of 8.

I hope this helps!

In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

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When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list.

When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list. This list is managed by the Federal Trade Commission (FTC), which enforces the Telephone Consumer Protection Act (TCPA) in the United States. If someone's phone number is on the DNC registry, the registry rules apply indefinitely. This means that even if the individual's phone number is still listed after a period of time, telemarketers are prohibited from calling that number. If the individual wishes to receive telemarketing calls again, they must remove their phone number from the list by dialing the DNC registry's phone number, which is 1-888-382-1222. The process of removing a phone number from the list is a simple one. Dial the number on your phone, and then follow the instructions that the voice prompt gives you. Furthermore, it is important to know that calls from organizations that you have given permission to call you are still allowed even if your number is on the DNC registry.

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The square with the side length 26 is the Square C.

The square with the side length 11 is the Square B.

The square with the side length 4.2 is the Square A.

As,

4.2<11<26

step (1) 32+23*4 =124 step (2) 9+23*4= 101  step (3) 9+9*4=45 step 4 9+35=44

Step-by-step explanation:

The probability that a green ball is chosen from bowl two is 4/9 using Baye's Theorem.

Let M be the event that the ball is green.
Let A be the event that the ball is drawn from bowl one and event b from bowl two.
Bowl one has 5 red balls and 5 green balls. And bowl two has 6 red balls and 4 balls.
Total number of red balls = 5 + 6 = 11
Total number of green balls = 5+ 4 = 9
Total number of balls in bowl one = 5+ 5 = 10
Total number of balls in bowl two = 6 + 4 =10
P(A) = 1/2 = P(B)
P(M/A) = 5/10
P( M/B) = 4/10
A bowl is selected at random and a ball is drawn at random.
Using Baye's Theorem we can solve the problem as,
Probability that ball is chosen is green drawn from bowl two , P(B/M)

= \(\frac{[P(B)P(M/B)]}{[ { P(A)(M/A)} + {P(B)(M/B)}]}\)
= \(\frac{ [ (1/2)(4/10)]}{ [ (1/2)(5/10) + (1/2)(4/10)]}\)
= 4/9

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For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.

A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.

Using a standard normal table the area to the right of z = 1.75 is given by

P(z > 1.75) = .0401

Therefore, the correct option is a.

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The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is-  x= 1- t,  y= t,  z= 8- 4t.

Given:  -x+3y+z=7      - (i)

            x+y=1            - (ii)

Rearrange the equation (i) and (ii),

we get,   -x+3y+z-7=0   -(iii)

               x+y-1=0       -(iv)

To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,

On solving the equation simultaneously we get,

4y+z-8=0

arrange this equation,  z=8-4y   -(v)

Let y=t     -(vi)

putting the value of y in equation (v)

so we get,  z=8-4t     -(vii)

putting the value of y and z in equations (iii) or (iv)

-x+3t+8-4t-7=0

x=1 -t

Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1  are x = 1 - t, y = t, z = 8 - 4t.

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Answer:

(a) 39,208

(b) 65%

Step-by-step explanation:

(a) The car loses 10% the first year and 15% the second year so that’s 35% lost in total after two years.

35% of 60,320 is 21,112

60,320 - 21,112 = 39,208

39,208 ÷ 60,320 = 0.65 (65%)

The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.

What is synthetic division?

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

We are given the expression as (n^3+3n^2-15n+19)

The expression is to be divided by (n-2)

So, by using the synthetic division, we get

2 |  1     3     -15      19    

     -     2      10     -10        

     1     5      -5       9    

Quotient =  n^2+5n-5

Remainder = 9

Hence, the quotient is n^2+5n-5 and the remainder is 9.

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Answer:

$34.66

Step-by-step explanation:

216-8= 208 divided by 6 = 34.666666

Answer: 33$ each

Step-by-step explanation:

you start by subtracting 18 from 216 to get rid of the leftover money.

you'll have ended up with the number 198

divide 198 by 6 and that will be your answer.

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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=============================================

Work Shown:

A = area of rectangle = 88

W = width = 11

L = unknown length

A = L*W

88 = L*11

11L = 88

L = 88/11 ... divide both sides by 11

L = 8

The length is 8

----------

P = perimeter of rectangle

P = 2L+2W

P = 2(L+W)

P = 2(8+11)

P = 2(19)

P = 38

The expected value E(X) for this distribution is 1.0, which is option B.

The expected value E(X) for this distribution is 1.0. A discrete random variable X is a variable that can only take on discrete values or values from a countable set.

The expected value of a discrete random variable can be found using the formula below: E(X) = x₁P(X₁) + x₂P(X₂) + ... + xₙP(Xₙ)where x₁, x₂, ..., xₙ are the possible values that X can take, and P(X₁), P(X₂), ..., P(Xₙ) are their respective probabilities. In this question, we are given the probability distribution for the discrete random variable X, as shown in the table below: X 0 1 2 3 Total P (X) .40 .30 .20 .10 1.00To find the expected value E(X) for this distribution, we use the formula above: E(X) = 0(.40) + 1(.30) + 2(.20) + 3(.10)= 0 + 0.30 + 0.40 + 0.30= 1.0Therefore, the expected value E(X) for this distribution is 1.0, which is option B.

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Answer:

they are acute angles because the angles are less than 90. sorry if I'm wrong you should put the different answer so we could give you the best answer

Step-by-step explanation:

Answer:

The surface area of the red square is 180, and the surface area of the blue square is 328. So the full answer is 508.

Step-by-step explanation:

A = 2( width times length +height times length +height times width ) = 2(6 times 3 + 8 times 3 + 8 times 6)=180

A = 2(width times length + height times length + height times width) = 2(2 times 12 + 10 times 12 + 10 times 2) = 328

And 328 + 180 = 508.

Answer:

Step-by-step explanation:

A= bh/2  so your height is going to be 4 and base 6 so its going to be 12 inches squared let me know if this helped

Answer:

x answer: x = ( y + 134 ) / 18

y answer: y = 18x - 134

Step-by-step explanation:

y - 10 = 18( x - 8 )

y - 10 = 18x - 144

x answer:

y - 10 = 18x - 144

y + 134 = 18x

( y + 134 ) / 18 = x

y answer:

y - 10 = 18x - 144

y = 18x - 134

Given:

A graph of a function rule intersects the y-axis at some point.

To find:

What do the coordinates of the intersection  indicate.

Solution:

We know that, x-values are input values and y-values are output values.

At y-axis the value of x is always 0.

If a function rule intersects the y-axis at some point, then the point represents the y-value when x=0.

So, it indicates the function's output when the input is 0.

Therefore, the correct option is d.

Answer:

150, 260

Step-by-step explanation:

0 < 9 < 12, so C = 150

20 is in 12 < n ≤ 20, so C = 260

The planet's a) size has virtually no effect on its structure.

The size of a planet does not affect its internal structure significantly because the same physical laws govern the formation and evolution of all planets. However, the size of a planet does have some impact on its atmosphere, gravity, and surface features.

For example, smaller planets may have weaker gravity, which makes it easier for gases to escape their atmosphere. Conversely, larger planets may have stronger gravity, which can compress their atmosphere and create more extreme weather patterns.

Overall, a planet's structure is primarily determined by its mass, composition, and magnetic field, rather than its size.

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The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Answer:

its B) 3<x<7 bcs if u can see u have to start from the y xs and go up 3 and over 7

Answer:

whats up , whats the question ?

Step-by-step explanation: