A student graphs the functions f(x) = | x+3 | and g(x) = x2-2x+3 on the coordinate plane shown.

Which are the solutions of f(x) =g(x)?

A. -3 and 1

B. -1 and 1

C. 0 and 3

D. 3 and 6

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

Point-slope form:-

      [tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

[tex]\sf{y-1=2(x-0)}[/tex]

So we conclude that Option B is correct.

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

Answer:

6 sqrt 2 , 3pi / 4

Step-by-step explanation:

Find magnitude   sqrt ( (-6)^2 + 6^2 ) = sqrt (72) = 6 sqrt 2

Then the since the x and y are = magnitude and quadrant II

 it is   3 pi/4

6 sqrt (2) , 3pi/ 4

The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,

Average speed ∝ (1/time)

Now, if the constant of variation is introduced then the relationship can be written as,

Average speed = k(1/time)

Substituting the values, we will get,

[tex]73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet[/tex]

Hence, the value of the constant of variation is 2,199 feet.

B.) The speed of the another rider is,

Average speed = k(1/time)

Average speed = 2,199×(1/25) feet/sec

Average speed = 87.96 feet/sec

Hence, the speed of another rider is 87.96 feet/sec.

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Answer:

The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.

Step-by-step explanation:

We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]

where

x = temperature of water (in degrees)

y = number of insect larvae in water

What do the x-intercepts of the graph represent?

The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.

[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]

Hence, when there was no larvae in the water, the water temperature was 20 and -10

Answer: $1.05

Step-by-step explanation:

quarters= 25 cents

4 x 25=100 cents

pennies=1 cent

5 x 1 = 5 cents

100+5=$1.05 or 105 cents

i need a picture to answer this

Step-by-step explanation:

bc i said so

Answer:

a) 9 ft.

Step-by-step explanation:

The  bath and the tent along with their shadows and the ground make 2 similar  triangles. So:

4/6 = 6/x

4x = 36

x = 9 ft.

The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

We know the sine function is:

y = Asin(w + c) + s

Here:

A is amplitude

w is angular velocity,

s is vertical Displacement,

c = phase angle

A = (2000000 - 1000000) /2 =  500,000

w = 2π/T  

T = 12

w = 2π/12 = π/6

s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000

500,000sin(π/6 + 0) + 1500000

500000sin(π/6)+1500000

or

0.5sin(πt/6) + 1.5

Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

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Using translation concepts, it is found that an horizontal compression of [tex]y = \frac{1}{x}[/tex] is found in the following function:

[tex]y = \frac{1}{6x}[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.

Hence, for [tex]y = \frac{1}{x}[/tex], the pure horizontal compression is:

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Answer:

A is correct! y=1/6x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y = -2x + 4 or y = -2(x - 2)

Step-by-step explanation:

Equation of Line AB

Finding slope (m)

Finding c using point slope equation

Equation

Answer:

The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.

Assuming b = 4, we need to find m

Slope = rise / run

Or

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]

Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1

[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]

Plug these values in and

[tex]y = -2x + 4[/tex]

When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)

Answer:

V = 19329.14 cubic inches

Step-by-step explanation:

Volume of cylinder

[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]

r ... radius of circle
h ... height of cylinder

Given information:

r = 18 in

h = 19 in

Now let's substitute the values in formula.

[tex]V = \pi r^2 \times h \\V = \pi (18)^2 \times 19\\V = 6156\pi\\V = 6156 \times 3.14\\V = 19329.84 \text{ in}^2[/tex]

Answer:

See below

Step-by-step explanation:

GCF of 36 and 4   is    welllll,    just  4

so 36 - 4    =     4*9 - 4 =   4 ( 9-1)       ( I THINK that is what goes here)

The height of the tree is 30 times the height of the verticle stick.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A vertical meter stick casts a shadow of 0. 4 meters.

If a tree casts a shadow of 12 meters at the same time.

Let x be the height of the stick and y be the height of the tree. Then we have

y/x = 12/0.4

y/x = 30

  y = 30x

The height of the tree is 30 times the height of the verticle stick.

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Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Line passes through (2, -1) and slope of 1/3

y = mx + b,  Identify:  x = 2, y = -1, slope: [tex]\sf \frac{1}{3}[/tex]

insert following values

[tex]\rightarrow \sf -1 = \dfrac{1}{3} (2) + b[/tex]

multiply

[tex]\rightarrow \sf -1 = \dfrac{2}{3} + b[/tex]

switch sides

[tex]\rightarrow \sf b = -1 - \dfrac{2}{3}[/tex]

subtract

[tex]\sf \rightarrow b = -\dfrac{5}{3}[/tex]

convert to mixed fraction

[tex]\sf \rightarrow b = -1\dfrac{2}{3}[/tex]

y = mx + b,  m = [tex]\sf \frac{1}{3}[/tex], b = [tex]-1\frac{2}{3}[/tex]

insert following values

[tex]\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}[/tex]

Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.

Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.

For the 8 birdhouse, the number of trapezoids she need is,

Trapezoids=2 x 8

Trapezoids=16

For the 3 birdhouse, the number of rectangle she need is,

Rectangle =4 x 3

Rectangle=12

The number of birdhouse when she use 4 square,

Bird house=4 x 1

Bird house=4

Thus, the number of triangle for 4 birdhouse is,

Triangle=2 x 4

Triangle=8

Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

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Answer:

400

Step-by-step explanation:

425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.

Answer:

nearest tenth: 430

nearest hundredth: 400

Step-by-step explanation:

5 and above rounds up hense 430 and below 50 rounds down hense 400

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.

Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.

If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.

An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:

= -800, -4, 1, 5, 52, 86

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Answer:

302cm³

Step-by-step explanation:

The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)

Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]

Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)

We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]

Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]

Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)

That is the answer

- Kan Academy Advance

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

Additional comments

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

Answer:

8 is 80% of 10

155 is 25% of 465

Step-by-step explanation:

the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465

Answer:

292<298xj=158

Hope this helps!

Answer:

Step-by-step explanation:

4 (x + 2) =30

4x + 8 = 30

4x = 30 - 8

4x = 22

x = 22 : 4

x = 5.5

check

(5.5 + 2) * 4 = 30

the answer is good

Answer:

the cost of each sandwich is 5.5

Step-by-step explanation:

we have,

4(x+2) = 30

we know a(b+c) = ab+ac

so, when we open the bracket we get,

4(x+2) = 4x+4*2 which is equal to 4x+8

so, 4x+8 = 30

=>   4x = 30 - 8         [transposing method]

=>   4x = 22

=>   x = 22/4

=>   x = 5.5

hope this helps

The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.

Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,

[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]

The probability of  population to be not O-negative,

[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]

The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,

[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]

Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

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Answer:

  8

Step-by-step explanation:

After saving 1/3 of 6 dozen for the bake sale, the girls had 2/3 of 6 dozen left to split between them. Each of the 6 girls would receive 2/3 of 1 dozen, or 12×2/3 = 8 cupcakes.

Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.

Answer: 127

Step-by-step explanation:

150 fruits times 15% = 22.5 rotten fruits

150 total -22.5 rotten=127.5 fres fruits

You can't have half a fruit so I chose to round down to 127

Answer:

Step-by-step explanation:

-6 - (-9)

1) Remove parentheses

-6 + 9

2) Simplify

3

See attachted image for rules of positive and negative integers.

Source: YourDictionary

Answer:

figure

Step-by-step explanation:

it out urself

thanks