please help guys !!!

Answer:

y + 4 = (x - 2)^2

Step-by-step explanation:

The vertex form of the equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically.  If all we know is the vertex (2, -4), then the desired equation is:

y + 4 = a(x - 2)^2

If there is no vertical stretching or compression, then the equation becomes:

y + 4 = (x - 2)^2

Answer:

y = x² - 4x

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 4) , with a = 1 , the equation is

y = (x - 2)² - 4 ← expand using FOIL

 = x² - 4x + 4 - 4

y = x² - 4x ← equation of parabola

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

Answer:

Its -34 cuhcuhcuchuchcuh

Step-by-step explanation:

cuhcuhcuchucuhcuhcuhcuhcuchcuh

Answer:

A)60°

Step-by-step explanation:

a straight line is 180° then

if a line bisect it in to a half it become 90°

then

the exterior angle of a triangle is equal to the sum of two interior angles

this means 150°-90°=60°

Answer: A) 60

Step-by-step explanation:

The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.

The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.

180 - 30 - 90 = 60.

Answer:

1

Step-by-step explanation:

√(4-3²+(3-3)²

√1¹+0

√1

1

Answer:

Step-by-step explanation:

Since x- coordinates are same, the distance is the difference of the y-coordinates:

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.

Explanation:

The notation [tex]a_1 = 10[/tex] says that the first term is 10.

The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.

This sequence is arithmetic due to the common difference d = 3.

Answer:

Step-by-step explanation:

a1=10

a_{n}=a_{n-1}+3

n=2

[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]

Answer:

4 times the sum of 21 and a number

Step-by-step explanation:

4(21+ n)

The four is being multiplied by the sum of 21 and n

The given statement is false as taking a survey on the heights of all your classmates is an example of quantitative data.

Quantitative data is data that can be measured and expressed as numbers,

such as height, weight, age, etc. Categorical data, on the other hand, consists of distinct categories or groups, such as eye color, gender, favorite color, etc.

Data can be classified into two main types: quantitative data and categorical data.

Quantitative data:

Quantitative data is numerical data that represents measurements or quantities.

It deals with things that can be measured and expressed as numbers.

For example, the heights of people, the weights of objects, the ages of individuals, and the temperatures in degrees are all examples of quantitative data.

Quantitative data can be further divided into two subtypes: discrete and continuous data.

Discrete data: Discrete data consists of whole numbers that cannot be further divided into smaller parts.

For example, the number of students in a class, the number of cars in a parking lot, and the number of books on a shelf are all examples of discrete data.

Continuous data: Continuous data consists of real numbers that can take on any value within a specific range.

For example, the height of a person can be measured as 165.5 cm, 170.2 cm, 178.9 cm, etc. These are all examples of continuous data.

Categorical data:

Categorical data, also known as qualitative data, involves the grouping of items into categories or classes.

It represents characteristics or attributes and is not numerical in nature. Categorical data is further divided into two subtypes: nominal and ordinal data.

Nominal data: Nominal data consists of categories with no intrinsic order or ranking.

For example, eye color ( blue, brown, green) and types of fruits (e.g., apple, banana, orange) are examples of nominal data.

Ordinal data: Ordinal data consists of categories with a meaningful order or ranking.

However, the differences between the categories are not quantifiable.

For instance, educational levels (elementary, middle, high school) and satisfaction levels (very satisfied, satisfied, neutral, dissatisfied, very dissatisfied) are examples of ordinal data.

The height survey of classmates, the data collected would be numerical values representing the heights of each individual.

Since heights are measured and expressed as numbers, this falls under quantitative data, not categorical data.

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6(x-3)=3x+9

6x-18=3x+9

6x-3x=18+9

3x=27

x=27 ÷3

x=9

Hope this will help you

The solution is x = 9, which is an option (B).

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation by distributing 6 on the left-hand side:

6x - 18 = 3x + 9

Now, let's isolate the x terms on one side and the constant terms on the other side:

6x - 3x = 9 + 18

3x = 27

x = 9

Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.

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Answer:

1. velocity

Step-by-step explanation:

that is the answer above

Answer:

y^3+9y^2+27y+27

Step-by-step explanation:

Step 1: Start by understanding FOIL. First. Outer. Inner. Last.

Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.

Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.

This simplifies to y^3+9y^2+27y+27

Answer:

14.4

Step-by-step explanation:

Cross multiply.

5x = 8 * 9

5x = 72

x = 14.4

Answer:

x= 14.4

Step-by-step explanation:

1. cross multiply

5*x and 8*9

5x=72

2. divide 72 by 5

x= 14.4

Answer:

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Step-by-step explanation:

Given:

(2x + 5) / (x² - 3x) - (3x + 5) / (x³ - 9x) - (x + 1) / x² - 9

Factor the denominators

(2x + 5) / x(x - 3) - (3x + 5) / x(x - 3)(x + 3) - (x + 1) / (x - 3)(x + 3)

Lowest common multiple of the 3 fractions is x(x - 3)(x + 3)

= (2x+5)(x+3) - (3x + 5) - (x + 1)x / x(x - 3)(x + 3)

= (2x²+6x+5x+15) - (3x + 5) - (x² + x) / x(x - 3)(x + 3)

= 2x² + 11x + 15 - 3x - 5 - x² - x / x(x - 3)(x + 3)

= x² + 7x + 10 / x(x - 3)(x + 3)

Solve the numerator.

Solve the quadratic expression by finding two numbers whose product is 10 and sum is 7

The numbers are 5 and 2

= x² + 5x + 2x + 10 / x(x - 3)(x + 3)

= x(x + 5) + 2(x + 5) / x(x - 3)(x + 3)

= (x + 5)(x + 2) / x(x - 3)(x + 3)

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Recall,

x(x - 3)(x + 3) is a factor of x³ - 8x

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

(x + 5)(x + 2) / x³ - 9x

B. StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction

(x + 5)(x + 4) / x³ - 9x

C. StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction

2x + 11 / x³ - 12x - 9

D. StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

3(x + 2) / x² - 3x

Answer:

84 ft^2.

Step-by-step explanation:

Use Pythagoras to find the value of h:

25^2 = h^2 + 7^2

h^2 = (25-7)(25+7)

h^2 = 576

h = √576 = 24

Area  = 1/2 * 7 * 24

= 84.

Answer:

A

$2.50

Step-by-step explanation:

b = cost of bracelet

n = cost of necklace

2b+3n = 15.50

4b+1n = 13.50

Multiply the first equation by -2

-4b -6n = -31

4b +n = 13.50

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

-5n = -17.50

Divide each side by -5

-5n/-5 = -17.5/-5

n = 3.50

Now we can find b

4b+n = 13.50

4b+3.50 = 13.50

4b+3.50-3.50 = 13.50 -3.50

4b = 10

Divide by 4

4b/4 = 10/4

b = 2.50

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

Answer:

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_0 {g(x)} \, dx = 20[/tex]

[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx[/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

32

(I think I remember your other information correctly.)

Step-by-step explanation:

I think you said you were given

*Integral from x=-5 to x=0 of g was -14

*Integral from x=-5 to x=6 of g was 6

Asked to find integral( g(x) + 2 , from x=0 to x=6)

Yes this can be split into two integrals:

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

The last integral is easier... the antiderivative or 2 is 2x. So evaluate 2x as the limits and subtract. Always plug in the top limit first. 2(6)-2(0)=12-0=12

Let's start with the bigger interval from x=-5 to x=6 which was 6... and since we want to get rid of the interval from x=-5 to x=0 to find the integral of g from x=0 to 6, all we must do is do 6-(-14)=20.

Integral( g(x) + 2 , from x=0 to x=6)

=

Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)

=

20+12

=

32

Answer:

p = -2

Step-by-step explanation:

px + 2y + 8 = 0

px + 2y  = -8

p(4)    = -8

p = -2

40% of a right angle into radian measure​ will be π/5.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

40% of a right angle.

We know that the right angle given in the form of radian will be as π / 2.

Then the 40% of the right angle will be given as,

⇒ 40% of π/2

⇒ 0.40 × π/2

⇒ 2/5 × π/2

⇒ π/5

40% of a right angle into radian measure​ will be π/5.

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We know

[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]

Answer:

a

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

3x-15=20+16

3x-15=36

3x=36+15

3x=51

x=17

Answer:

D is right option

Step-by-step explanation:

Similarities:

Both the biomes experience less precipitation due to this they have a less diversity of flora and fauna as compared to other biomes like savanna, grasslands, chaparral etc. Let us see how they differ from each other!

Low rain fall _ annual rainfal of lessthan 20cm in deserts, 15-20cm in tundra

Minimal life_ only small shurbs can survive in both kind of environments

Poor drainage.. In deserts, though sandy soil may seem much porous, these are most flood prone areas of world. The tundra is characterised by permafrost soils ie, under the thin layer of soil, a thick ice sheet is present and hence is no seepage.

High range of temperatures: In tundra, the maximum temperatures are recorded in summer (abt 10^C) and minimum during winter(-20 to -30^C). While, in desert too, the temperature range is high but diurnally ie, nights are too cold and day time is scorching.

Answer:

A

Step-by-step explanation:

Answer:

11/5

Step-by-step explanation:

f(x) = 6/x-1

f(x) = 5

6/x-1 = 5

=> 6 = 5(x-1)

=> 6 = 5x - 5

=> 11 = 5x

=> 5x = 11

=> x = 11/5