Given the vertex ( 4, 6 )and the point(1, -3), write the vertex form equation of the quadratic
function.

The value of x in the circle is - 6.

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Therefore, let's find the value x using the relationship between the central angle and the arc angle as follows:

-24x + 7 = 151

subtract 7 from both sides of the equation

-24x + 7 - 7 = 151 - 7

-24x  = 144

divide both side of the equation by -24

x = 144 / -24

x = -6

Therefore,

x = -6

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Answer: 14q + 8 is the answer

Step-by-step explanation:

Answer:

8 + 14q

Step-by-step explanation:

2 x 4 = 8

2 x 7q = 14q

(8 + 14q)

Hoped it helps! :D

There could be several reasons why your friend bought the new set of speakers that cost three times as much as his former speakers. One reason could be that the new speakers have different features or specifications that he wanted, such as higher wattage, improved sound quality, or better frequency response. Another reason could be that he wanted to upgrade his stereo system and felt that investing in new speakers would be a good place to start. Additionally, he may have purchased the new speakers as a status symbol or simply because he had the extra money to spend. Ultimately, the decision to buy new speakers is a personal one and can depend on a variety of factors beyond just the cost or perceived quality of the speakers.

Although the new speakers might not be 3 times better, he could have bought them for various reasons such as improved sound quality, better design or aesthetics, compatibility with his current stereo system, or additional features that the former speakers did not have. The overall value of the new speakers might be greater than the cost difference for your friend.

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Answer: She will earn $1275

Step-by-step explanation:

it says sue earns 600 for working 40 hours so divide 600 by 40 to find out how much earns per hour which is $15 (600/40=15) then you take 15 time 85 to find out how much she earns (15x85=1275).

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.

Population - all of the households in New York City in 1900.

Variable - a quantity equivalent to the number of children in a randomly selected household

Parameter -  the mean number of children per household in New York City in 1900

Sample - the 200 households selected by the historian

Data - the 200 records collected by the historian

Statistic -  the mean number of children per household in the historian's sample.

Complete question:

Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.

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Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

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Answer:

1.=7

2. =8

Step-by-step explanation:hope this help have a good day

|4−10|+1

=|−6|+1

=6+1

=7

|2−4|+6

=|−2|+6

=2+6

=8

Answer:

10

13

15

17

22

Step-by-step explanation:

the first 5 terms will be 1,2,3,4 and 5.

I guess...

Answer:

a1 = 10

a2 = 13

a3 = 16

a4 = 19

a5 = 22

Step-by-step explanation:

Substitute in the value of  n  to find the  n

th term.

a1 = 3 (1) + 7

3 + 7 = 10

a2 = 3 (2) + 7

6 + 7 = 13

a3 = 3 (3) + 7

9 + 7 = 16

a4 = 3 (4) + 7

12 + 7 = 19

a5 = 3 (5) + 7

15 + 7 = 22

good luck, hope this helps :)

The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.

Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.

Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.

Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

107

Step-by-step explanation:

The pattern is +10

Your finding the 9 term to your going +10 9 times from 27. Which simplifies to +80.

27 + 90 = 107

Answer:

Here is the equation 4x6/8=3

Answer:

4 x q ÷ 8 = 3

4 x 6 ÷ 8 = 3

(24) ÷ 8 = 3

a) To find the probability of getting a sum of 5 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The possible outcomes when rolling two dice are given by the product of their respective sides. Each die has six sides, so there are 6 x 6 = 36 total possible outcomes.

The favorable outcomes for a sum of 5 are (1, 4), (2, 3), (3, 2), and (4, 1), which amounts to four possibilities.

Therefore, the probability of getting a sum of 5 is 4/36, which simplifies to 1/9.

b) To find the probability of getting a sum of 8 or 6 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 8, the favorable outcomes are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2), which amounts to five possibilities.

For a sum of 6, the favorable outcomes are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1), which also amounts to five possibilities.

Thus, the total number of favorable outcomes for a sum of 8 or 6 is 5 + 5 = 10.

Therefore, the probability of getting a sum of 8 or 6 is 10/36, which simplifies to 5/18.

c) To find the probability of getting a sum greater than or equal to 9 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 9, the favorable outcomes are (3, 6), (4, 5), (5, 4), and (6, 3), which amounts to four possibilities.

For a sum of 10, the favorable outcomes are (4, 6), (5, 5), and (6, 4), which amounts to three possibilities.

For a sum of 11, the favorable outcomes are (5, 6) and (6, 5), which amounts to two possibilities.

For a sum of 12, there is only one favorable outcome, which is (6, 6).

Thus, the total number of favorable outcomes for a sum greater than or equal to 9 is 4 + 3 + 2 + 1 = 10.

Therefore, the probability of getting a sum greater than or equal to 9 is 10/36, which also simplifies to 5/18.

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Answer:

B) A person runs x miles at a rate of 12 minutes per miles then walks for 10 minutes is your best answer.

Step-by-step explanation:

This is the only one that meets all requirements, though the wording is rather poor, in my opinion.

'x" is stated in this statement rather correctly compared to the others.

For A), "A person drives 12 miles each day (x) for 10 days:

x would signify the amount of days: 12x or 12(10) = 120

For C), " A person drives 12 miles plus 10 miles for each additional hour they drive":

x would signify the amount of hour: 10x + 12

For D), "A person runs 12 miles the first day, x miles the second day, and 10 miles the third day":

x would signify the stand-alone value: 12 + x + 10

~

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer:

9.1*10^-4 sit-ups per square second

Step-by-step explanation:

Given data

Initial speed= 5/7 = 0.71 sit-ups per second

Time interval= 180 seconds

Final speed= 7/8 = 0.875 sit-ups per second

Hence the acceleration is given as

a= v-u/t

a= (0.875- 0.71)/180

a= 0.165/180

a=0.00091666666

a= 9.1*10^-4 sit-ups per square second

Answer:

C) 37

Step-by-step explanation:

1/2(PQ)=RQ

2.5x+17=6x-11

17=3.5x-11

28=3.5x

x=8

RQ=6(8)-11

RQ=48-11

RQ=37

The value after converting the length 178 cm  to inches , is 178 cm is equivalent to 70 inches .

The Centimeters (cm) and inches are both the units of measurement that  are used to measure length .

They both belong to different systems of measurement. Centimeters are used in the International System of Units (SI), whereas  inches are used in the Imperial and US Customary systems.

We know that 1 centimeter is = 0.3937 inches .

that means that conversion factor is 0.3937 ,

So , we can write ; 178 cm = 178 × 0.3937 inches ;

⇒ 178 cm = 70.0786 inches ≈ 70 inches .

Therefore , 178 cm is approximately equal to 70 inches .

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The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.

The distance between two places along a segment of a curve is known as the arc length.

Sector radius, r = 8.26 inches

Sector arc length = 12.84 inches

Sector perimeter = 2r + length of the arc

The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.

The circle's circumference is 2 + 8.26 + 16.52.

The specified circle's area is A = 8.262 * 68.2276.

Sector area, A = 53.0292 inch2

Consequently, we have;

2R plus A equals 29.36 inches

A·R = 53.0292 × 2

that provides;

R² + 53.0292 = 14.68·R

R² - 14.68·R + 53.0292 = 0

using a graphing calculator to factor yields;

(R - 6.42)·(R - 8.26) = 0

R = 6.42 or R = 8.26

R = 8.26 is the measurement for the first sector.

Due to the distinctions between the sectors, we have;

R = 6.42 inches is the radius of the other sector.

The length of the arc, A = 29.36 - 2R

∴ A = 29.36 - 2 × 6.42 = 16.52

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Answer:

Step-by-step explanation:

we need the formula for circumference.  Know it?

2 * pi * r = circ

so if the radius is 7 ,  plug that in for r

2pi*7= circ

14pi=circ

Answer:

  10, 8, 6, 4, 2, ...

Step-by-step explanation:

Only one of the answer choices starts with 10. That one is the correct choice:

  10, 8, 6, 4, 2, ...

___

f(1) = 10 means the first term of the sequence is 10.

Answer:

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

A: –10, –12, –14, –16, –18, ...  Wrong

B: –2, 8, 18, 28, 38, ...  Wrong

C: 8, 18, 28, 38, 48, ...  Wrong

D: 10, 8, 6, 4, 2, ... Correct

To compute the signed area of the region bounded by the curves y = 8 - 2x^2 and y = 0 for 0 ≤ x ≤ 2, we can integrate the difference between the two curves over the given interval.

First, let's find the intersection points of the two curves by setting them equal to each other:

8 - 2x^2 = 0

Solving this equation, we get x = ±√4 = ±2.

Since we're interested in the region for 0 ≤ x ≤ 2, we only consider the positive value, x = 2.

Next, we integrate the difference between the curves with respect to x:

Area = ∫[0 to 2] (8 - 2x^2 - 0) dx

Simplifying the integral:

Area = ∫[0 to 2] (8 - 2x^2) dx

Integrating term by term:

Area = [8x - (2/3)x^3] evaluated from 0 to 2

Substituting the limits:

Area = [8(2) - (2/3)(2^3)] - [8(0) - (2/3)(0^3)]

Simplifying:

Area = [16 - (2/3)8] - [0 - 0]

Area = 16 - (16/3)

Area = 48/3 - 16/3

Area = 32/3

Therefore, the signed area of the region bounded by y = 8 - 2x^2 and y = 0 for 0 ≤ x ≤ 2 is 32/3 square units.

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Answer:

20xy + 5x -4y

Step-by-step explanation:

I hope this helps you

Answer:

The equation is y=1/5x-4.

Step-by-step explanation:

You substitute the slope and the y-intercept, which is 1/5 and -4, and plug them into the y=mx+b equation.

Answer:

9

Step-by-step explanation: