x y what is the y intercept of this table, please explain.
1 8
2 6
3 4
4 2

Answers

Answer 1

Step-by-step explanation:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10


Related Questions

How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6

Answers

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2

A library had 6422 music CDs stored on 26 shelves.If the same number of CDs were stored on each shelf how many CDs were stored on each shelf

Answers

one shell stores CDs:6422/26

246

Determine whether each of these sets is countable or un- countable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a. integers not divisible by 3 b. integers divisible by 5 but not by 7 c. the real numbers with decimal representations con- sisting of all 1s d. the real numbers with decimal representations of all 1s or 9s

Answers

Answer:

i do not understand the questions

Step-by-step explanation:

Aaron has $25 to spend at the carnival. Admission is $4.00 and the ride tickets are $1.25 each. What is the maximum number of ride tickets that Aaron can buy? Write and solve the inequality.

Answers

16 rides aaron can ride

Answer:

25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy

Fourth Grade
Memory Jogger Week 5 I need helppppp

Answers

Answer:

I can help you what you need help with

Step-by-step explanation:

Which of the following shows the correct solution steps and solution to 7x- 4 = -182 7x - 4 = -18 71 - 4+4= -18 + 4 72 = -14 A. 72 -14 7 7 = -2 70 – 4= -18 72 - 4+4= -18 + 4 70 = -14 7x - 14 -7 -7 B. = 2​

Answers

Answer/Step-by-step explanation:

7x- 4 = -182

Step:

Add 4 to both sides

7x - 4 + 4 = -182 + 4

Simplify

7x = -178

Divide both sides by 7

7x/7 = -178/7

Simplify

x = -178/7

Decimal form = -25.4285714286

~lenvy~

Answer:

x = -178/7

Step-by-step explanation:

Given us that:

Which of the following shows the correct solution steps and solution to 7x- 4 = -182

Thus, the steps are:

Adding 4 to both sides

7x - 4 = -182

      +4       +4

------------------------

7x = -178

Divide both sides by 7

7x/7 = -178/x

Simplify

x = -178/7

Solution - x = -178/7

[RevyBreeze]

what decimal part of one dollar is two dimes

Answers

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

Our school’s girls volleyball team has 14 players, including a set of
3 triplets: Alicia, Amanda, and Anna. In how many ways can we
choose 6 starters if at most one of the triplets is in the starting lineup? There can't be 2 or more triplets and there can be none.

Answers

Answer:

[tex]1,\!848[/tex].

Step-by-step explanation:

There are two disjoint sets of ways to choose a lineup as required:

Include none of Alicia, Amanda, or Anna, orInclude exactly one of Alicia, Amanda, and Anna.

Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)

The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)

The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:

[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].

Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.

Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].

These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:

[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].

Moose left a $7.50 tip for his waitress on a $50 restaurant bill. What percent of his bill did he leave as a tip?

Answers

Answer:

he left 15 % of his bill as a tip

Step-by-step explanation:

7.5/50 x 100

0.15 x 100

15

tip=$7.5Bill=$50

Percentage

7.5/50×1000.150(100)15.0%

Solve the following equation:

3 x seven tenths

Answers

hello!

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

Here, we have to multiply fractions.

How to Multiply Fractions?

Here are the steps:-

Turn any whole numbers into fractions (example:- 3 = 3/1)Multiply the numerator of the first fraction times the numerator of the 2nd fraction; same with the denominator.Simplify if necessary.

So let's do it.

Step 1:-

[tex]\longmapsto\sf{3=\displaystyle\frac{3}{1}[/tex]

Step 2:-

[tex]\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}[/tex]

[tex]\longmapsto\sf{\displaystyle\frac{21}{10} }[/tex]

We can't simplify this fraction, but there's something else we can do:-

Convert this improper fraction into a mixed number

Here's the answer:-

[tex]\boxed{\sf{2\displaystyle\frac{1}{10} }}[/tex]

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

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?

Answers

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

Malcolm draws this map of his neighborhood . Help please and thank you!!!!!

Answers

Answer:

Alden, perpendicular, Elm, parallel

Step-by-step explanation:

What is 65% of (102/2)

Answers

Answer:

33.15

Step-by-step explanation:

102/2 = 51

65% of 51 = 33.15

Answer:

65% of (102/2) is 33.15

Step-by-step explanation:

I used a calculator and got this answer, it is correct. Have a nice day :)

can some help me figure this out

Answers

Answer:

e

Step-by-step explanation:

e

PLEASE HURRY AND HELP ME WITH THIS !! ILL GIVE BRAINLIEST

Answers

Answer:

C. Reflection, translation

Step-by-step explanation:

If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.

I hope this helps! Have a lovely day!! :)

Answer: C

Triangle B is reflected over the y axis which mirrors Triangle A, and Triangle C is translated over the x axis.

In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

Answers

Answer:

Not entirely sure about this because it was grabbed from someone else

There are 210 ways to win 1st place

There are 209 ways to win 2nd place

There are 208 ways to win 3rd place

Every time an award is won, a spot if taken, therefore one person is eliminated from possibly taking that spot.

Hope that makes sense :)

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The number of contestants is 210.

The number of ways of contestants who won the first prize will be given as,

⇒ ²¹⁰C₁

⇒ 210

The number of ways of contestants who won the second prize will be given as,

⇒ ²⁰⁹C₁

⇒ 209

The number of ways of contestants who won the third prize will be given as,

⇒ ²⁰⁸C₁

⇒ 208

Then the total number of ways of contestants can win first, second, and third prizes will be

⇒ 210 x 209 x 208

⇒ 9,129,120

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

the graph of f x shown below resembles the graph of g =x2 but it has been stretched somewhat and shifted which of the following could be the equation of f

Answers

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

How to determine the possible equation of f(x)?

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

f(x) = (x - h)^2 + k

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

f(x) = 2(x - 3)^2 + 3

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

https://brainly.com/question/17586310

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

Solve (images attached) can u check if correct

Answers

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Please help this is due

Answers

[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]

What is the slope of the line with equation y-3=-1/2 (x-2)?

Answers

Hello!

This equation is written in Point-Slope Form (y-y₁=m(x-x₁)

Where

y₁=y-coordinate of the point

m=slope

x₁=x-coordinate of the point

In this case, the slope is

[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

C) 1/2

Step-by-step explanation:

woof woof

Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply​

Answers

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?\

Answers

Answer:

$0.20

Step-by-step explanation:

3.95/20 = 0.1975

0.1975 would round up to 0.20

Answer:

$0.1975

Step-by-step explanation:

Do $3.95 divided by 20 so you can find the proportion of 1 ounce

A bag of fruit contains 3 apples, 2 oranges, 1 banana, and 4 pears, Gerald will randomly select two pieces of fruit
one at a time from the bag and not put them back. What is the probability that the first piece of fruit Gerald selects will be a banana and the second piece of fruit will be a pear?

Answers

Answer:

2/45

Step-by-step explanation:

The probability that a banana is picked for the first one is:

1/10

because there are 10 fruits and one of them is a banana,

Then, the second piece has to be a pear.

For this we have already picked one fruit out of the bag, which leaves 9 fruits in the bag.

There are 4 pears so the probability of picking a pear second is

4/9

To find the probability of a banana and then a pear, you want to multiply these values together

So:

1/10 x 4/9 = 4/90 = 2/45

So the probability is 2/45

Gotten two different answers…is it 18 or 55

Answers

Answer:

18.2%

Step-by-step explanation:

For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.

The table states "number out of 1,000 men" so this means there are 1000 total men in this study.

So:

182/1000 = 0.182 = 18.2%

.......................................

Answers

Answer:

what is your question??????

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

37×2=74

360-74 = 286

286 ÷ 2=143

Of course, if AD and BC , and also BA and CD are even.

Write the equation of a parabola with focus at (1,-4) and a directrix at X=2

Answers

Answer:

The equation of a parabola is

[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]

The general form is:

[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]

The vertex form is:

[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

[tex]( - \frac{13}{2} \: ,0)[/tex]

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

[tex](0, - 4 - \sqrt{3)} [/tex]

[tex](0, - 4 + \sqrt{3)} [/tex]

What is the volume of a sphere with a diameter of 50 cm

Answers

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

if the length of a rectangle is 3 times of its breadth and perimeter is 96cm find the length and breadth of rectangle​

Answers

Breadth=x
Length=3x
Perimeter of a rectangle=2(l+b)
96=2(3x+x)
96=2(4x)
96=8x
x=96/8
x=12
Therefore breadth=12cm
Length=12*3=36cm
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