Mathematics College

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

Answers

Answer 1

Answer:

13

Step-by-step explanation:

f(x) = x² +7x - 18

y interception: x=0  y = -18    (0 , -18)

line g(x):  --- the data of (60,47) to make a linear function

y = mx + b

m = (11-2) / (10 - -5) = 9/15 = 0.6

b = mx - y = 0.6 * (-5) - 2 = - 5  ... y intercept: (0 , -5)

distance between 2 y intercept: 18-5 = 13

y = 0.6x - 5

What Is The Distance, In Units, Between The Y-intercept Of F(x) = X^2 +7x - 18 And The Y-intercept Of
Answer 2

Answer:

23

Step-by-step explanation:

f(x) (y intercept ) = -18

g(x) (y intercept) = 5

difference so f(x)-g(x)

-18-5 = -23

the answer cannot be negative

Related Questions

using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction. ​

Answers

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

3/58

5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

5/3

8/5

8/3

35/8

38/5

53/8

58/3

83/5

85/3

Consider the following frequency table representing the scores on a test.

Scores on a Test

Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4

Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5

Answers

Answer:

(a)56

(b)47

(c)3

(d)29

Step-by-step explanation:

From the given frequency

(a) Fifth class is 56-59.

    The lower class boundary for the fifth class is 56.

(b) Second class is 44-47.

    The upper-class boundary for the second class is 47.

(c) Class width = 47-44 = 3, 47-44 = 3.

(d) Number of scores between 39.5 and 55.5 is

    =7 + 7+ 7 + 8 =29

-4 > x - 3 find x in the equation

Answers

Answer:

X= -1

Step-by-step explanation:

WILL GIVE BRAINLIEST

Find the equation of the line

perpendicular to y=-2x + 1 that

also intersects the point (8, 2).

y- Hx+ 1

Enter

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

3(3) + 3(2/3)......................

Answers

3 (3) + 3 (2/3) = 11

PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.

18.31 ft3

40.25 ft3

56.52 ft3

60.34 ft3

Answers

Answer:

56.52ft³ is the answer hope this helps

Answer:

3rd option hope this helps.

Step-by-step explanation:

3x+y=10
Which are solutions of the linear equation select all that apply

(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)

Answers

The only answer is (2,4)

Name the theorem that lets you conclude that triangle and = cbd

Answers

There’s no pictures but you could try multiple theorems like: SSS, SAS, etc

Given the following list of numbers, find the mean. 5,6,12,2,5,12,14

Answers

Answer:

the mean is 8

Step-by-step explanation:

added them all together and divided by 7

The mean of numbers will be 8.

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The numbers are,

⇒ 5,6,12,2,5,12,14

Now,

Since, The numbers are,

⇒ 5,6,12,2,5,12,14

Hence, The mean = 5 + 6 + 12 + 2 + 5 + 12 + 14 / 7

                             = 56/7

                             = 8

Thus, The mean of numbers will be 8.

Learn more about the mean visit:

https://brainly.com/question/1136789

#SPJ5

r/15≥-3 solve the inequality

Answers

Answer:

r≥-45

Step-by-step explanation:

r/15≥-3

Multiply each side by 15

r/15 * 15 ≥-3*15

r≥-45

Could you describe the expression 2(3+4) as a product of two factors?​

Answers

the answer will be 10 just multiply the numbers

Answer questions 3,4, and 7.

Answers

3). They all equal eight. Set 2(x-6) and 3x-20 equal to each other, then solve.

You can apply this to the other problems as well, I hope this helps :)

32. A volleyball team played 25 games. The ratio of games won to
games lost was 6:4. How many games did the team win?

Answers

Number of volleyball games team win is 15 games

Given that;

Number of volleyball games = 25 games

Won to lost ratio = 6:4

Find:

Number of volleyball games team win

Computation:

Number of volleyball games teams win = 25[6 / (6+4)]

Number of volleyball games teams win = 25[6 / 10]

Number of volleyball games team win = 15 games

Learn more:

https://brainly.com/question/24140426?referrer=searchResults

In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?

7:4

4:7

5:7

5:4

7:5

Answers

Answer:

7:5

Step-by-step explanation:

there are 7 cheetahs and 5 tigers soooooo

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats. Let A= the total number of animals. Let C = the number of cats.

Answers

I do not know what answer you are looking for, but A would be double the amount of C. Without the number of cats, I do not know the total number of animals, vice versa.

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula, V = l · w · h, where V = Volume and l = length, w = width, and h = height. Which of the following situations best models the maximum capacity of the rectangular box shown below? Select all that apply.



V = 250 x2y2 cubic units
V = (10 xy)(10 xy) cubic units
V = (5y)(2x)(10xy)cubic units
V = 100 xy cubic units
V = 100 x2y2 cubic units

Answers

Answer:

1    3   4 i think im not fully sure

Step-by-step explanation:

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.

Answers

Answer:

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from

Step-by-step explanation:

home. After 1 hour, she is 40 miles from home. What equation models her distance

from home, y, as a function of time, x? Show your work.

what's the ratio for 3 stars and 7 circles

Answers

Answer: 3:7

Step-by-step explanation:

There are 3 stars for every 7 circles, thus the ratio is 3:7.

Answer:

3 : 7.

Step-by-step explanation:

For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.

This is what it would look like: 3 : 7

With ratios, you could also write,

3 to 7

or

3 / 7

But 3 : 7 is most common :)

Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?

Answers

Step-by-step explanation:

I think 21 dollars is the answer

write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Answers

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]

[tex]d=\sqrt{36+16}[/tex]

[tex]d=\sqrt{52}[/tex]

[tex]d=2\sqrt{13}[/tex]

Now, radius is half of the diameter.

[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]

[tex]r=\sqrt{13}[/tex]

Center of the circle is the midpoint of the endpoints of a diameter.

[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]

[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]

[tex]Center=\left(2,-3\right)[/tex]

Standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,

[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]

[tex](x-2)^2+(y+3)^2=13[/tex]

Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].

what is half of 3.5

Answers

1.25 Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

3.5/2 = 1.75

hope this helps

Hello? Someone please help me with this.

Answers

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

The quotient of 56 and a number

Answers

Answer:

yes

Step-by-step explanation:

Can someone please help me on this? I've been trying for hours and can't seem to find the answer.

Answers

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

solve for brain list asap​

Answers

Answer:

i believe the answer to this x=8

Do any of you know this??

Answers

70° is the right answer

Answer:

wouldn't be 70°?

Step-by-step explanation:

30 + 40 = 70

A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?

Answers

Answer:

p( black) = 2/3

Step-by-step explanation:

4 white + 8 black = 12 tiles

P ( black) = number of black / total

                = 8 /12

                 = 2/3

what are all the terms which are equivalent to the slope in a proportional relationship

Answers

Answer:

13

Step-by-step explanation:

well if you add the first parts then undwe rate the next you will get 13

Lisa bought 16 1/2 pounds of sand for her
child’s sandbox she was building. What is
this in ounces?

Answers

16.5 pounds converted to ounces is 264oz.
Other Questions
In "Mary Cassatt: Artist and Trailblazer," how does Vanessa Wright convey her viewpoint that Cassatt's ambitions were admirable? Wright states that Cassatt copied artwork in the Louvre. Wright explains how much Cassatt's teachers admired her artwork. Wright describes how Cassatt developed her own style. Wright describes how Cassatt persevered despite obstacles. 7. Which value of x makes the ratios equal?x/12 =3/9 what mental health issues are associated with nicotine Write the equation of a line with a slope of 3 that passes through (-3,2). on the left side of the triangle, it says 10 cm, on the right side of the triangle, it says 18 cm, below the triangle, it says 15 cm. find the area of the triangle and answer this question is square cm. the diameter of a sold spherical ball is 35cm, Find its the surface area and the volume if giselle had five books sets and gave 9 books away and has 26 left how many were in the bookset There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 21feet high, and the hook is 20 feet from its base. How long is the rope? Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, andwhen he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among theoptions provided below could belong to Scrat? 17. Generally speaking, which of the following is necessary to conduct either a single-blind or double-blind study? O Control group Blocking Placebo O Association What is Minnie's relationship with Miss Celia like? In one paragraph Hello, I would really like some help on this!! Please leave an explanation of how you got your answer! Thank You! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz QUICK: What is the main idea of Fahrenheit 451 by Ray Bradbury The quotient of a number and 6 minus -1/3 is equal to the quotient of the number and 8. What is the number? Harry borrows $2,500 to purchase furniture for his newapartment. If he pays $202.00 per month for 1 yearand 3 months, how much total interest will he pay?a. $202b. $530 c. $3,030 d. $5,530 Can You please help me HELPPP PLEASE ILL GIVE BRAINLIEST AND POINTS!! to follow them to make theirCirce helps Odysseus and his crew by giving them a _____ to follow them to make their sailing smoothera. currentb. windc. shipd. spelle. sea serpent ____ Al(NO3)3 + ____ FeCl2 --> _____ Fe(NO3)2 + ______AlCl3~how to fix/ balance this chemical reaction? What should be the minimum amount of years you allow your retirementinvestments to grow?a. 10 yearsb. 20 yearsc. 30 yearsd. 40 years