Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.

A line has an equation of,

[tex]y=mx+n[/tex].

m is called a slope

n is called y-intercept

We are also given two points [tex](x_1,y_1)=(4,-1),(x_2,y_2)=(6,-7)[/tex].

We begin with computing the slope,

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-1)}{6-4}=\frac{-7+1}{2}=\frac{-6}{2}=\boxed{-3}[/tex]

We have computed the slope m and our equation is almost done,

[tex]y=-3x+n[/tex]

Next step is to find out what y-intercept n is. I will use point [tex](4,-1)[/tex] and insert x and y it into already known equation, then solve for n,

[tex]-1=-3(4)+n[/tex]

[tex]-1=-12+n\implies n=\boxed{11}[/tex]

The reason I can insert coordinates of a point as x and y is because this particular point is in the line described by equation,

[tex]\boxed{y=-3x+11}[/tex]

Hope this helps. :)

Answer:

hello the answer is .04/0.04

Answer:

.04 is four hundredths

Step-by-step explanation:

I hope this helps

Answer:

Hello,

Answer is (x+1)(x+3)(2x+1)

Step-by-step explanation:

[tex]p(x)=2x^3+9x^2+10x+3\\p(-1)=2*(-1)^3+9*(-1)^2+10*(-1)+3=-2+9-10+3=0\\p(x)\ is\ divisible\ by\ (x+1)We\ arrange\ to\ put\ a\ factor\ of\ x+1\\\\2x^3+9x^2+10x+3\\\\=2x^3+2x^2+7x^2+7x+3x+3\\\\=2x^2(x+1)+7x(x+1)+3(x+1)\\\\=(x+1)(2x^2+7x+3)\\\\=(x+1)(2x^2+6x+x+3)\\\\=(x+1)(2x(x+3)+1(x+3))\\\\=(x+1)(x+3)(2x+1)\\[/tex]

Answer:

Step-by-step explanation:

Recall that the equation of a line is y = mx + b.

Excellent. Let's plug in the values we are given into the general equation for a line. We get 10 = 1/2 * 4 + b.

Simplify to 10 = 2 + b, and we get b = 8.

Our final equation, then, is y = 1/2 x + 8.

Hope this helps!

Answer:

b

Step-by-step explanation:

y=-2x+10

y=-2×0+10 y=10

y=-2×1+10 y=8

y=-2×2+10 y=6

y=-2×3+10 y=4

Answer: B. y = –2x + 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangol BCD = triangle BDA

so

3x - 1 = 34 - 2x

5x = 35

x = 35 : 5

Answer:

x = 7

Step-by-step explanation:

BD is an angle bisector , so

∠ ABD = ∠ DBC , that is

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Answer:

x=5.9

i think this the answer

Step-by-step explanation:

1. The given expression is, [tex]A=lw[/tex]

We need to solve it for w.

[tex]w=\dfrac{A}{l}[/tex]

2. The given expression is, [tex]C=\pi D[/tex]

We need to solve it for D.

[tex]D=\dfrac{C}{\pi}[/tex]

3. The given expression is, [tex]v=s+gt[/tex]

We need to solve it for s.

[tex]s=v-gt[/tex]

4. The given expression is, [tex]5x-2y=11[/tex]

We need to solve it for y.

[tex]D=\dfrac{5x-11}{2}[/tex]

5. The given expression is, [tex]P_1V_1=P_2V_2[/tex]

We need to solve it for P₂. So,

[tex]P_2=\dfrac{P_1V1}{V_2}[/tex]

Answer:

A child who weighs 84 pounds should be given 94.5 milligrams of the drug.

Step-by-step explanation:

Givens:

1kg=2.5 milligrams of dosage

Weight of child = 84 pounds

1 pound = 0.45 kg

Solution:

Convert pounds to kilograms --> 84lbs*0.45kg = 37.8 kg

Convert weight to dosage --> 37.8kg * 2.5 mg = 94.5 mg of dosage.

9514 1404 393

Answer:

Step-by-step explanation:

Let a, o, v represent the prices of one each of apples, oranges, and avocados, respectively. Then the equations describing the purchases can be written ...

  6a +6o +6v = 19.50

  12a +2o +1v = 9.50

  2a +4o +5v = 14.00

__

Dividing the first equation by 6 makes it ...

  a +o +v = 3.25

Subtracting this from the second equation gives ...

  (12a +2o +v) -(a +o +v) = (9.50) -(3.25)

  11a +o = 6.25

Subtracting the third equation from 5 times the reduced first equation gives ...

  5(a +o +v) -(2a +4o +5v) = 5(3.25) -(14.00)

  3a +o = 2.25

The difference of these last two equations is ...

  (11a +o) -(3a +o) = (6.25) -(2.25)

  8a = 4.00

  a = 0.50

Then the other values are ...

  o = 2.25 -3(a) = 0.75

  v = 3.25 -a -o = 2.00

The unit prices are:

  apples -- $0.50

  oranges -- $0.75

  avocados -- $2.00

_____

Additional comment

Most graphing or scientific calculators will solve systems of equations like these. Using an appropriate tool, it takes less time to find the solution than to read this one.

Note that the last purchase description in the problem statement has the items in a different order than in the first two descriptions. Care must be taken to make sure the correct equations are written.

[tex] \displaystyle \int \bf \: \frac{2 \: tan \: x. {sec}^{2} \: x }{1 + {tan}^{2} \: x } \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = 2 \displaystyle \int \bf \: \frac{tan \: x \: . \: \cancel{ {sec}^{2} \: x}}{ \cancel{ {sec}^{2} \: x}} \: \: dx \: \: \: \: \pink{ \{ \because \: {sec}^{2} \: x - {tan}^{2} \: x = 1 \}} \\ \\ = 2 \displaystyle \int \bf \: tan \: x \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = 2 \displaystyle \int \bf \: \frac{sin \: x}{cos \: x} \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = - 2 \displaystyle \int \bf \: \frac{ - \: sin \: x}{ \: cos \: x} \: \: dx\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = \bf \: - 2 \ln \: |cos \: x| + c\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{ \{ \because \: \displaystyle \int \bf \: \frac{ {f}^{′} (x)}{f(x)} \: dx = \ln \: |f(x)| + c \}}[/tex]

Answer:

B. One of the populations is normally distributed.

Step-by-step explanation:

To test a claim about two population standard deviation or variance, it is imperative that the data meets certain requirements which include :

Randomness : Data must not be biased as such it must be drawn as a random sample from a larger group.

The data must be independent. That is not related to one another, the outcome of one should not rely on the outcome or value of another.

Both groups must be drawn From a population which is normally distributed.

One group being normally distributed by stribuyed while the other isn't a requirement for hypothesis testing in this scenario.

Answer:

2.75 m²  

Step-by-step explanation:

From the information given:

the thickness of the paint = 0.07 cm = (0.07/100) m

= 0.0007 m thick

the diameter hemispherical dome = 50 m

∴

radius of the dome = 50m /2 = 25 m

The volume of a hemispherical dome is expressed as:

[tex]V = \dfrac{2}{3}\pi r^3[/tex]

Thus, the change in the volume now is:

[tex]\dfrac{dV}{dr} = \dfrac{2}{3}\pi *3 r^2[/tex]

[tex]{dV} = \dfrac{2}{3}\pi *3 r^2 (dr)[/tex]

[tex]{dV} = 2 \pi r^2 (dr)[/tex]

∴

dV = 2π × (25)² (0.0007)

where;

dr = 0.0007

dV = 2π × (25)² (0.0007)

dV = 2.75 m²  

Answer:[tex]n=\frac{58}{31}[/tex]

Step-by-step explanation:

[tex]124n=232\\\frac{124n}{124}=\frac{232}{124}\\n=\frac{232}{124}=\frac{58}{31}[/tex]

The value of n is 18.75. To find the value of n, we need to solve the equation: 124n = 232 five

Let's first convert "232 five" into a numerical value:

"232 five" means 2325 (since five is in the units place).

Now, the equation becomes:

124n = 2325

To solve for n, divide both sides of the equation by 124:

n = 2325 / 124

Now, perform the division:

n = 18.75

So, the value of n is 18.75.

To know more about equation:

https://brainly.com/question/10724260

#SPJ2

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

Answer:

Hi Keke,

Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.

x + (x-8) + 4(x-8) = 152

6x - 40 = 152

6x = 192

x = 32

Amy has $32

Jose has 32 - 8 = $24

Milan has 4*24 = $96

Answer:

x=  $6,284.15

Step-by-step explanation:

7300 = x(1 + .025/12)^72

x = [tex]\frac{7300}{(1 + \frac{.025}{12} )^{72} }[/tex]

x=  $6,284.15  

Step-by-step explanation:

we don't see the parallelogram nor any description of it.

so, it is impossible to tell you the right answer.

as I only answer questions by don't ask any, I don't know how you can add a picture.

Answer:

1000 students in college

2000 students in University

200 out of 2000 are smokers

200 out 1000 are smokers

200 : 2000

1 :10

200 : 1000

1 : 5

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{6}{4}=\dfrac{x}{20-x}[/tex]

[tex]\\ \sf\longmapsto 6(20-x)=4x[/tex]

[tex]\\ \sf\longmapsto 120-6x=4x[/tex]

[tex]\\ \sf\longmapsto 120=6x+4x[/tex]

[tex]\\ \sf\longmapsto 120=10x[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{120}{10}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

3 dollars per pound

Step-by-step explanation:

Unit Price = Cost / Pounds of oranges

Unit Price = 12 / 4

Unit Price = 3

The unit price per pound is $3

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

Answer:

sauce is 177013

Step-by-step explanation:

Answer:

29/3 is your answer

Step-by-step explanation:

pls mark as brainliest

Answer:

24

6

1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1   = 2 ways

This is one you should try.

Jim Kat Larry Kim

Jim Larry Kat Kim

You can't get another way.

c)

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

Answer:

Step-by-step explanation:

I answered this question in question #24285520

Answer:

Step-by-step explanation:

Total number of chocolate boxes that can be produced: x+y Answer

≤

Answer

800

Restrictions based on demand of each: y Answer

≤

Answer

1/2

x

Maximum amount of white chocolate production: y Answer

≤

Answer

200

Minimum amount of milk chocolate production: x Answer

≥

Answer

0

Minimum amount of white chocolate production: y Answer

≥

Answer

0

Vertices of the feasible region: (0,0)(400, Answer

200

)( Answer

600

, Answer

200

)( Answer

800

,0)

Optimization equation: Profit = Answer

2.25

x+ Answer

2.5

y

Your maximum profit is $ Answer

1850

. You should produce Answer

600

boxes of milk chocolate and Answer

200

boxes of white chocolate.

Using the binomial distribution, it is found that:

a) The expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

b) You need to select at least 587 people.

For each person, there are only two possible outcomes, either they share your birthday, or they do not. The probability of a person sharing your birthday is independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

There are 365 days in a non-leap year, hence, the probability of each person sharing your birthday is [tex]p = \frac{1}{365}[/tex]

Item a:

This probability is P(X = 0), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{n,0}.\left(\frac{1}{365}\right)^{0}.\left(\frac{364}{365}\right)^{n} = \left(\frac{364}{365}\right)^{n}[/tex]

Hence, the expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

Item b:

The probability that at least one person shares your birthday is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

We want that:

[tex]P(X \geq 1) \geq 0.8[/tex]

Hence:

[tex]1 - P(X = 0) \geq 0.8[/tex]

[tex]P(X = 0) \leq 0.2[/tex]

Hence:

[tex]\left(\frac{364}{365}\right)^{n} \leq 0.2[/tex]

[tex]n\log{\left(\frac{364}{365}\right)} \leq \log{0.2}[/tex]

[tex]n \geq \frac{\log{0.2}}{\log{\left(\frac{364}{365}\right)}}[/tex]

[tex]n \geq 586.6[/tex]

Rounding up: You need to select at least 587 people.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

1st option

Step-by-step explanation:

Evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then

g(3) = - 4(3) + 6 = - 12 + 6 = - 6