Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)

Answer:

\(g(x)=2x^2-10\)

Step-by-step explanation:

The function f(x) is given by

\(f (x) = 2x^2 - 8\)

The quadratic function g(x) is obtained by translating f(x) 2 units down.

We use the below rule to find the equation for g (x)

Rule:- If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

\(g(x)=f(x)-2\)

\(g(x)=2x^2-8-2\)

\(g(x)=2x^2-10\)

Answer: if im reading this correctly: 45.0833333333333333333333333

Step-by-step explanation:

Answer:

The answer would be 541/12 but for the simplified answer it would be 45 1/2 hope this helps!

I might not be correct. I tried my best

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

To know more about slope follow

https://brainly.com/question/19131126

#SPJ1

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

Learn more about greatest common factor  at;

https://brainly.com/question/219464

#SPJ1

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

4x+1

Step-by-step explanation:

f(x)=x-4 and g(x)=3x+5,

(f+g) (x) = x-4 +3x+5

Combine like terms

           = 4x+1

Answer:

your answer would be 0.052

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

2 1/4 miles => 1 week

1 mile => 1 ÷ 9/4

( 9/4 is an improper fraction of 2 1/4 )

12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2

= 50/9

= 5 5/9 weeks

( 25/2 is an improper fraction of 12 1/2 )

Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.

( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )

The cost to send a letter that weighs 5 ounces is $11.75.

Flat rate = $8.00

Charges on every ounce = $0.75

Given equation :

y = 0.75x + 8.00

'y' = Cost of the postage

'x' = Weight of the letter in ounces

According to the question we can determine the cost of mailing a letter with the help of given equation (y = 0.75x + 8.00).

We have given that the weight of letter that need to send is 5 ounces.

So, x = 5

Lets find the cost of postage,

y = 0.75x + 8.00

y = (0.75 × 5) + 8.00

y = 3.75 + 8.00

y = $11.75

Hence, it will take $11.75 to mail a letter or we can say cost of postage.

To learn more about Postage visit :

https://brainly.com/question/23117843

#SPJ9

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

(4×3)-(4×3)+(4×4×4)

12-12+64

64

Answer: 3

Step-by-step explanation:

4(3) - 4(3) + 3

\/ \/

12 - 12 + 3

0 + 3 = 3

Answer:

f(x) = -2.5x + 4

Step-by-step explanation:

If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is

f(x) = -2.5x + 4

I hope this helps

(I deserve to be marked the brainliest)

Answer:

f(x)=−5/2x+4

Step-by-step explanation:

other answer is wrong, i took the test

the correct answer is 6259

The answer is X=3, ur welcome :)

Answer: 3

Step-by-step explanation:

3(5x-2) - 3x = 30

15x - 6 - 3x =30

15x -3x = 30 + 6

12x = 36

X= 36/ 12

X = 3

Answer:

w= 8/7

Step-by-step explanation:

1. divide the numbers

\(12w-1*10=6-2w\)

2. multiply the numbers

\(12-10=6-2w\)

3. rearrange terms

\(12-10=-2w+6\)

4. add 10 to both sides of the equation

\(12w-10+1-=-2w+6+10\)

5. simplify

\(12w=-2w+16\)

6. add 2w to both sides of the equation

\(12w+2w=-2w+16+2w\)

7. simplify

\(14w=16\)

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer:

\(w = 2\)

Step-by-step explanation:

\( \frac{(12w - 20)}{2} = 6 - 2w\)

\(6w + \frac{ - 20}{2} = 6 - 2w\)

\(6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w\)

\(6w + 10 = 6 - 2w\)

\(6w - 10 + 2w = 6 - 2w + 2w\)

\(6w + 2w - 10 = 6 - 2w + 2w\)

\(8w - 10 = 6 - 2w + 2w\)

\(8w - 10 = - 2w + 2w + 6\)

\(8w - 10 = 6\)

\(8w - 10 + 10 = 6 + 10\)

\(8w = 6 + 10\)

\(8w = 16\)

\( \frac{8w}{8} = \frac{16}{8} \)

\(w = \frac{16}{8} \)

\(w = \frac{2.8}{1.8} \)

\(w = 2\)

\(Thank \: you!!!\)

Answer:

Step-by-step explanation:

Each vertex will appear on the other side of the line y=x a the exact same distance that it originally had to the line.

Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest

terms.

Step-by-step explanation: 24 hours

Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.

Answer:

The answer would be 116 miles with a small 2 on the top. 116 miles ^2 like this.

8x7 = 56

6x 10= 60

60 + 56 = 116 miles ^2

Step-by-step explanation:

Answer:

2x - 12 = y

Step-by-step explanation:

→ Add y to both sides

2x = 12 + y

→ Minus 12 from both sides

2x - 12 = y

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

The  Distance between B to C = 58 km,

distance between C to D = 30 km

Average speed between B to C = 59.79 km/h

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.

Given  A commuter train moves from station A to D via B and C,

distance from A to C via B = 70 km

distance from B to D via C = 88 km

av. speed of the train from A to B = 48 km/h

av. speed of the train from C to D = 45 km/h

time taken by train to reach B = 15 min = 15/60  = 0.25 hour

distance between A to B = speed x time from A to B

distance between A to B = 48 x 0.25

distance between A to B = 12 km

A. Distance between B to C = distance from A to C - distance between A to B

Distance between B to C = 70 - 12 = 58 km

B. distance between C to D = distance from B to D -  Distance between B to C  

distance between C to D = 88 - 58 = 30 km

C. let av. speed from B to C is x

total distance covered by train  = 12 + 58 + 30 = 100 km

av. speed for journey = 50 km/h

time taken to complete journey = 100/50 = 2 hours

time is taken from A to  B = 0.25 hour

time is taken from B to C = 58/x

Time is taken from C to D = 30/45 = 0.66 hour

halt at b = 3 minute and halt at C = 4 minute

total halt = 3 + 4 = 7 minute = 7/60 = 0.12 hour

Total time  = time taken from(A to B + B to C + C to D) + total hault

2 = 0.25 + 58/x + 0.66 + 0.12

58/x = 0.97

x = 59.79 km/h

Hence The  Distance between B to C = 58 km,

distance between C to D = 30 km

Average speed between B to C = 59.79 km/h

Learn more about speed;

https://brainly.com/question/28224010

#SPJ1

Answer:

it's 24 ...................

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Evaluating the function from the given graph, g(-9) = 1.

To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.

To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.

The graph shows that when x = -9, the corresponding y-value is 1.

Therefore, g(-9) = 1.

Learn more about functions on:

https://brainly.com/question/15602982

#SPJ1

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

for such more question on mean

https://brainly.com/question/14532771

#SPJ8

Answer:

Step-by-step explanation:

As per the graph, the y-intercept is 20 which is the initial amount.

Another marked point has coordinates (4, 50).

The slope is:

The equation of the line is:

$20 is the initial deposit and weekly deposit is $7.5

Answer:

20 is the initial deposit and weekly deposit is $7.5