Mathematics High School

What is the distance, in units, between the y-intercept of f(x) = x2 + 7x - 18 and the y-intercept of the linear function that passes through
the points shown in the table below?
х
g(x)
-5
2
10
11
25
20
60
41

What Is The Distance, In Units, Between The Y-intercept Of F(x) = X2 + 7x - 18 And The Y-intercept Of

Answers

Answer 1

Answer:

y = 0.6x - 5

Step-by-step explanation:

Answer 2

The distance between the y-intercept of f(x) = x^2 + 7x - 18 and the y-intercept of the table is 23 units

How to determine the distance?

The function f(x) is given as:

f(x) = x^2 + 7x - 18

The y-intercept is when x = 0.

So, we have:

f(0) = 0^2 + 7(0) - 18

Evaluate

f(0) = -18

For the table, start by calculating the slope (m)

m = 11 - 2/10 + 5

m = 0.6

The y-intercept is then calculated using:

b = y - mx

So, we have:

b = 11 - 0.6 * 10

Evaluate

b = 5

This means that:

y-intercept = 5

The difference between both values is:

Difference = |-18- 5|

Evaluate

Difference = 23

Hence, the distance between the y-intercept of f(x) = x^2 + 7x - 18 and the y-intercept of the table is 23 units

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Related Questions

Graph h(x) = -|x- 6| + 3.

Answers

Answer: Shift the graph to the right by 6, and up by 3.

Step-by-step explanation: If a number is in parentheses or absolute value lines, use the inverse sign. If it’s outside of the parentheses, move it like normal.

To graph the function h(x) = -|x - 6| + 3, we can follow a step-by-step approach:

Step 1: Determine the key points:

Identify the vertex: The vertex of the absolute value function y = |x| is at (0, 0). In this case, since we have y = -|x - 6| + 3, the vertex is obtained by shifting the vertex (0, 0) horizontally by 6 units to the right and vertically up by 3 units. Therefore, the vertex is at (6, 3).

Find additional points: Choose some x-values on both sides of the vertex to determine corresponding y-values. Let's choose x = 0, 3, 6, and 9.

Step 2: Calculate the y-values:

For x = 0: h(0) = -|0 - 6| + 3 = -|-6| + 3 = -6 + 3 = -3.

For x = 3: h(3) = -|3 - 6| + 3 = -|-3| + 3 = -3 + 3 = 0.

For x = 6: h(6) = -|6 - 6| + 3 = -|0| + 3 = -0 + 3 = 3.

For x = 9: h(9) = -|9 - 6| + 3 = -|3| + 3 = -3 + 3 = 0.

Step 3: Plot the points:

Plot the points (0, -3), (3, 0), (6, 3), and (9, 0) on a coordinate plane.

Step 4: Draw the graph:

Connect the plotted points smoothly. Since we have an absolute value function with a negative sign, the graph will be an upside-down V-shape, opening downwards, with the vertex at (6, 3).

Here's a visual representation of the graph of h(x) = -|x - 6| + 3:

   

Please note that the graph above is a rough representation and may not be perfectly to scale.

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What is the equation of the line that passes through the points (-6,-5) and (-3,0)?

Answers

Answer:

y--3=5(x--6)=5x-y+27

Step-by-step explanation:

mrk me brainliest plz

The mean age of 5 people in a room is 37 years.
A person enters the room.
The mean age is now 34.
What is the age of the person who entered the room?

Answers

The answer is 19. 5 x 37 = 185, 6 x 34 = 204. 204 - 185 = 19.

Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?

Answers

She reads 3 pages per hour!!

please help me asap!

Answers

Answer:

26.0869565217 %

Note pls do not put all those numbers after the decimal round it im not doing it  because i dont know how u want to round it

I hope this helps!!

Step-by-step explanation:

Here we go again: Each set of points are connected to form a line segment. What is the length of each?

A. 1 unit

B. 2 units

C. 3 units

D. 4 units

Answers

Answer:

b .2 units

Step-by-step explanation:

It B.2 units I took this before

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

not possible

Step-by-step explanation:

Rhian sat a maths test and an english test

Answers

Answer:

i don't understand

Step-by-step explanation:

please give more info so I can answer you question

Help ASAP plsplsplsplsplsplspls

Answers

Answer:

Hello! answer: x = 132

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees 180 - 48 = 132 therefore x = 132 HOPE THAT HELPS!

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

B.(-7, -3, 0, 1 , 4)

Step-by-step explanation:

Domain is the x so it's -7, -3, 0, 1 , 4

Answer:

B.

Step-by-step explanation:

The domain is the x-axis, which is always the first number in the ordered pair.

Please help!!!
The volume of gas varies inversely with the pressure exerted. If the volume is 3.5 liters when the pressue is 5, find the volume wihen the pressure is 8.

Answers

Answer:

v = k/p

where k is constant

3.5 = k/5

k = 3.5 × 5

k = 17.5

v = 17.5/p

v= 17.5/8

v = 2.1875

v ≈ 2.20 litres

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

Answer:

blank 1 is answer d

blank 2 I'm not sure

blank 3 is answer c

blank 4 is answer a

Are there more options than answers a-d?

4. What is the area of the figure at the right?

Answers

Answer: 336

Step-by-step explanation:

formula for area of a triangle = bh / 2

12 * 10 = 120 / 2 = 60

12 * 18 = 216 / 2 = 108

60 + 60 + 108 + 108 = 336

List the transformations for the function.

y=|x−3|+1

Answers

Answer: To find the transformation, compare the equation to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function:  

y = | x |

Horizontal Shift: Right  

3

Units

Vertical Shift: Up  

1

Units

Reflection about the x-axis: None

Vertical Compression or Stretch: None

Step-by-step explanation:

Hope this helps!

Please let me know if im wrong!

Answer:

Step-by-step explanation:

Bre all my shi got deleted

What is the difference of 897.67 and 578.8 ?



Round off your answer to one decimal place

Answers

218.9 rounded (218.87 not rounded)

Betty babysat for 3 hours each night for 12 nights. She earned a total of $288 babysitting. Betty wants to calculate her hourly rate. How much did Betty earn per hour babysitting?

Answers

Answer:Betty earned $8 per hour babysitting

Step-by-step explanation:

Number of hours worked per day =3

Number pf nights worked =12

Number of hours wored for 12 nghts =3x12=36hours

Now if 36 hours  earned her $288

1 hour will earn her=( 288 x 1) / 36 = 8 hours


Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

Answers

Answer:

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Donna is 37 years old, and she owns her car, which she uses to drive to work. Her collision deductible is $500, and she does not have comprehensive coverage. If her car's safety rating is 12, what is her annual premium?

Answers

Answer: $1725

Step-by-step explanation:

what is 1/2 times 2
what is 3/2 times 2
what is 2/7 times 7
what is 3/4 times 4
what is 7/8 times 8
what is 5/6 times 6

Answers

1
3
2
3
7
5
hope that helps
1/2x2 =1

3/2x2=3

2/7x7=2

3/4x4=3

7/8x8=7

5/6x6=5

Given the points (4,-1) and (3,5), find the slope
A.) 6
B.) -6
C.) 1/6
D.) -1/6

Answers

Answer: slope is -6

equation is y=-6x+23

Step-by-step explanation:

mrk brainliest plz

Answer:

B

Step-by-step explanation:

you can use the slope formula which is (y₂ - y₁)/(x₂ - x₁).

Plug the numbers in:

(5 - (-1)/(3-4)

6/-1

= -6

Last night, Troy had homework in math and science. He spent 112 minutes altogether on his homework. He spent 3 times as long on science homework as on math homework.
How many minutes did Troy spend on his math homework?

Answers

x=28
112=x+(x*3)
112=x+3x
112=4x
4x=112
x=28

Plz help! Will give brainlest

Answers

Answer:

99 Sorry if im wrong

Step-by-step explanation:

On the line that passes through point C, mark a point D that is distinct from point C. Use the slope formula along with coordinates of points to find the slopes of and . Show your work.

Answers

Answer:

PLATO

Step-by-step explanation:

Answer:

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A  =  (-3, 3), B = (-1,-1)

Slope of AB  =  (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D =  (-1,6), C = (1,2)

Slope of DC  =  (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Step-by-step explanation:

Amy-Jo works for herself selling weight-loss products door to door. This is

not typical, because most door-to-door salespeople work for companies.
not typical, because products are rarely sold door to door.
typical, because most door-to-door salespeople are self-employed.
typical, because most weight-loss products are sold door to door.

Answers

Answer:

I think it's D

Step-by-step explanation: I just know

Answer:

d or typical, because most weight-loss products are sold door to door.

Step-by-step explanation:

Paula drinks 1 tenth gallon of milk every morning. How many days will it take Paula to drink 1 gallon of milk,no files just type it.

Answers

Answer:

10 days

Step-by-step explanation:

Divide 1 gallon by

0.1 gallon per day:

 1 gallon

---------------------- = 10 days

0.1 gallon/day

Lawrence did some research on the ages of the female U.S. Olympic swimmers. He made a dot plot for the data. .. 17 18 19 20 21 22 23 24 25 26 Age of female U.S. Olympic swimmers (years) According to Lawrence's data, what is the typical age of a female U.S. Olympic swimmer?​

Answers

Answer:

21 years

Step-by-step explanation:

Lawrence did research on many different swimmers. He graphed each swimmer with a tick on the graph. The more ticks, the higher amount of people. Because most of the ticks are on 21, If I did this right, It should be 21.

Plz help me!



If you help you get a brainliest!

Answers

Answer:

C) x=11

Step-by-step explanation:

Titan put $3,400 in a savings account at a local bank. The bank will pay him 1.9% annual simple interest. How much interest will Titan earn after 4 years?​

Answers

Answer: $258.40

Step-by-step explanation:

The formula to calculate the simple interest will be:.

= Principal × Rate × Time

where,

Principal = $3400

Rate = 1.9%

Time = 4

Interest = $3400 × 1.9% × 4

= $3400 × 0.019 × 4

= $258.40

A boat traveled 27 miles in 2 hours at this rate how many miles will the boat travel in1/2 hour

Answers

Answer:

The boat would travel 6.75 miles in a 1/2 hour.

Step-by-step explanation:

If the boat travels 27 miles in 2 hours, you would take 27 and divide it by 2 to find out how many miles it travels in 1 hour.  (27/2= 13.5 miles).  Then you would take 13.5 miles and divide it by 2 again to find how many miles it traveled in 1/2 an hour. (13.5/2 = 6.75 miles).

will give brainleist

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The deposits helped them produce iron goods.

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