11 POINTS! GEOMETRY!! Find the area of the composite function and explain how you broke the shape into pieces to find the area.

Answer:

[tex]\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }[/tex]

Step-by-step explanation:

Hello, please find my work below.

[tex]y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\[/tex]

a = 1

h = -5

k = 5

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-Step Explanation:

Perimeter = 75

Sides:

2x + 3

3x + 4

2x - 9

75 = 2x + 3 + 3x + 4 + 2x - 9

2x + 3 + 3x + 4 + 2x - 9  = 7x - 2

75 = 7x - 2

75 = 7x - 2

+2        +2

77 = 7x

77 = 7x

/7     /7

2x + 3 = 2(11) + 3 = 22 + 3 = 25

3x + 4 = 3(11) + 4 = 33 + 4 = 37

2x - 9 = 2(11) - 9 = 22 - 9 = 13

Answer:

b) tiene la mayor frecuencia

Step-by-step explanation:

Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.

Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.

Answer: A = P(1 + \frac{r}{n})^{nt}

Step-by-step explanation: A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

From the web

The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.

Answer:

???????????????????

Step-by-step explanation:

Answer:

[tex]Angle = 54[/tex]

Step-by-step explanation:

Given

Kano = 45;

Kwara  = 410;

Ogun = 105;

Ondo = 126;

Oyo = 154

Total Distribution = 840

Required

Determine the angle subtended by Ondo (in a pie chart)

The general formula to calculate subtended angle in a Pie chart is;

[tex]Angle = 360 * \frac{Frequency}{Total\ Frequency}[/tex]

In this case of Ondo

Frequency = 126

Total Frequency = Total Distribution = 840

Substitute these values in the given formula;

[tex]Angle = 360 * \frac{126}{840}[/tex]

[tex]Angle = \frac{360 *126}{840}[/tex]

[tex]Angle = \frac{45360}{840}[/tex]

[tex]Angle = 54[/tex]

Hence, the angle subtended by Ondo is 54

Answer:

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Answer:

The equation of the graph after translating one unit to the left is;

[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]

Step-by-step explanation:

The given equation is [tex]y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3[/tex]

We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4

Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;

[tex]y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]

The equation of the graph becomes;

[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex].

Answer:

second option

Step-by-step explanation:

The range is all of the y values. In this scenario, the y values are the number of sit-ups per minute. We can eliminate the first and third options because they're talking about x when we want y. Additionally, we can eliminate the last option because that is all of the x values, therefore, the answer is the second option.

Answer:

[tex]\boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

The range of a function is the set of all possible output values [tex]F(x)[/tex].

Options A and C are wrong because they talk about the input value x.

The output values are the number of sit-ups.

Option D talks about the ages (input).

Answer:

This question is unanwserable without the "Spider Tool" If you would like to revise it i'd be happy to help

Step-by-step explanation:

But the units are degrees

You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence

Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.

Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)

After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences

The confidence interval is in the form (L, U)

L = lower bound

L = dbar - t*sd/sqrt(n)

U = upper bound

U = dbar + t*sd/sqrt(n)

Step-by-step explanation:

[tex]( {x}^{2})(x + 3) - (x + 3)[/tex]

[tex](x + 3)( {x}^{2} - 1) [/tex]

[tex](x - 1)(x + 1)[/tex]

[tex](x - 1)(x + 1)(x + 3)[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

(x+1) (x-1) (x+3)

Step-by-step explanation:

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

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

Answer:

f(x)= -2(x-8)²+6

Step-by-step explanation:

First graph the points

you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6

so the equation is

to get a we will replace by the coordinates of a point for example (6,-2)

a is negative wich makes sense since the parabola opens down

Answer:

the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot is 0.77454

Step-by-step explanation:

Given that:

mean = 4

standard deviation = 1

The objective is to find the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot.

i.e

[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - \mu}{\sigma} \leq \dfrac{X-\mu}{\sigma}\leq \dfrac{5- \mu}{\sigma})[/tex]

[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - 4}{1} \leq Z \leq \dfrac{5- 4}{1})[/tex]

[tex]P(2.5 \leq x \leq 5) = P(\dfrac{-1.5}{1} \leq Z \leq \dfrac{1}{1})[/tex]

[tex]P(2.5 \leq x \leq 5) = P({-1.5}\leq Z \leq 1)[/tex]

[tex]P(2.5 \leq x \leq 5) = P({Z < 1})- P(Z < -1.5)[/tex]

[tex]P(2.5 \leq x \leq 5) = 0.84134- 0.06680[/tex]

[tex]\mathbf{P(2.5 \leq x \leq 5) = 0.77454}[/tex]

The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.

For this triangle, our side lengths are 7, 7, and  9.

7 + 7 = 14

14 + 9 = 23

The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.

Hope this helps!! :)

Answer:

3 : 6 : 2

Step-by-step explanation:

Given

b = 3c ( divide both sides by 3 )

c = [tex]\frac{1}{3}[/tex] b , that is

c = [tex]\frac{1}{3}[/tex] × 2 = [tex]\frac{2}{3}[/tex]

Thus

a : b : c = 1 : 2 : [tex]\frac{2}{3}[/tex] ( multiply all parts by 3 )

a : b : c = 3 : 6 : 2

Answer:

0.72

Step-by-step explanation:

hope i helped

pls mark brainliest im trying to level up

Answer:

0.719 rounded to the nearest hundredth is 0.720

Step-by-step explanation:

9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.

Hope this helps!!!  Brainliest would be appreciated

Answer:

your answer is k

Step-by-step explanation:

not all the isosceles triangles are similar

Answer:

a. 24

b.600

c.36

d. No

Step-by-step explanation:

a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.

b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.

c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36

d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.

Answer:

157.5.

Step-by-step explanation:

(155 + 160) / 2

=  315/2

= 157.5.

Hey there! I'm happy to help!

We want to find whatever is in between J and K. To find the halfway point between any two numbers, you add them and then divide that result by two!

What's between 1 and 3?

1+3=4

4/2=2

So, we'll do the same here!

155+160=315

315/2=157.5

So, the midpoint is 157.5 or 157 1/2.

Have a wonderful day!

Answer:

4/30 is the answer the probability is 4/30

Answer:

Graph (B)

Step-by-step explanation:

For x < 3,

An arrow starting with a hollow circle at x = 3 and heading towards 0 will represent the given inequality on a number line.

Similarly, x ≥ 5,

An arrow starting with a dark circle at x = 5 and heading towards 12 will represent the given inequality on a number line.

When we combine these inequalities on a number line, Graph (B) will be the answer.

Answer:

The last option

Step-by-step explanation:

The centroid is the point that is equidistant from all the vertices, not the incenter. Furthermore, the incenter is formed by finding the point of concurrency (intersection) of the angle bisectors.

Answer:

(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²

(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²

Step-by-step explanation:

(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²

The graph of the function between the values of 0 and 6 inclusive is found as follows;

A,              3·p²

0,               0

1,                1

2,               12

3,               27

4,               48

5,               75

6,               108

Please find attached the graph of A to 3·p²

From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²

The area of the rabbit cage when the width is 5.2 m = 81.5 m²

(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;

The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width

The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p

Where the total length of the wire mesh available = 40 meters for the cage

The 40 meters of wire mesh will be used round the perimeter of the cage

∴ 40 m. = 8·p

p = 40/8 = 5 m.

At p = 5 m. the area is given as A = 75 m².

Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².

Answer:

The answer is option A.

Step-by-step explanation:

The steps are :

[tex]x + y = 8 - - - (1)[/tex]

[tex]x - y = 6 - - - (2)[/tex]

[tex](1) - (2)[/tex]

[tex]x + y - x - ( - y) = 8 - 6[/tex]

[tex]2y = 2[/tex]

[tex]y = 1[/tex]

[tex]substitute \: y = 1 \: into \: (1)[/tex]

[tex]x + 1 = 8[/tex]

[tex]x = 7[/tex]

Answer:

1) a+b(x)+a+(y)

b) a+b(x)-a-b(y)

2)p-q(r)-p-q(s)

b)r-2r(s)+r-2t(t)

Step-by-step explanation:

1) ax+bx+ay+by

a+b(x)+a+b(y)

b) ax+bx-ay-by

a+b(x)-a-b(y)

2) pr-ps+qr-qs

pr+qr-ps-qs

p+q(r)-p-q(s)

b) rs-2rs+rt-2t^2

r-2r(s)+r-2t(t)

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

a)Use distributive property

ax + bx + ay + by = x(a + b) + y(a + b)

                            = (a + b) (x + y)

b) ax + bx - ay - by = x(a + b) - y (a +b)

                              = (a +b) (x - y)

2)

a) pr - ps + qr - qs =  p (r - s) + q( r - s)

                             = (r -s )( p + q)

Answer:

The possible number of goats is 6 and the possible number of chicken is 24

Step-by-step explanation:

Let

chicken=c

Goat=g

the number of chickens could be four times the number of goats

c=4g

Total number of animals=30

c+g=30

Recall, c=4g

So,

c+g=30

4g+g=30

5g=30

Divide both sides by 5

5g/5=30/5

g=6

Recall,

c+g=30

c+6=30

c=30-6

=24

c=24

The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals

Answer:

y = -3x + 6

Step-by-step explanation:

Any line perpendicular to

y = (1/3)x + 4

has a slope of -1/(1/3) = -3

and equation

y = -3x + b  .................(1)

If the line has an x intercept of 2 at (0,2), then

0 = -3(2) + b

solving

b = 6

By substituting b=6 into (1), the line required

y = -3x + 6

Answer:

y = -3x + 2

Step-by-step explanation:

y= [tex]\frac{1}{3}x +4[/tex]

Slope [tex]m_{1}=\frac{1}{3}[/tex]

slope of the perpendicular line [tex]m_{2}[/tex] = [tex]\frac{-1}{m_{1}}[/tex] = [tex]\frac{-1}{\frac{1}{3}}=-1*\frac{3}{1}=-3\\[/tex]

b= 2

Slope intercept form of required line: y = mx + b

y = -3x + 2