Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría

Answer:

The volume of the solid is the volume of the prism minus the volume of the cylinder.

For the cylinder, diameter = d = 4 cm

radius = d/2 = (4 cm)/2 = 2 cm

V = volume of prism - volume of cylinder

The volume of a prism is length times width times height.

The volume of a cylinder is pi times the square of the radius times the height.

V = LWH - (pi)r^2h

V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)

V = 540 cm^3 - 60pi cm^3

V = (540 - 60pi) cm^3

Answer:

C

Step-by-step explanation:

Since the area of a rectangle is the width multiplied by the length, the area of this one would be:

[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]

Therefore, the correct answer is choice C. Hope this helps!

Answer: 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

8^2 + 8^2 = c^2

64 + 64 = c^2

128=c^2

[tex]\sqrt{128}[/tex]  

[tex]\sqrt{4 * 32}[/tex]  

2[tex]\sqrt{4 * 8 }[/tex]

2* 2 [tex]\sqrt{4 * 2}[/tex]

4 * 2[tex]\sqrt{2}[/tex]

8 [tex]\sqrt{2}[/tex]

Answer:

3(1-7x) is first step

Step-by-step explanation:

Answer:

BIDMAS

Step-by-step explanation:

brackets

indices

division

multiplication

addition

subtraction

so.. do everything inside the brackets and then use the square

hope this helps! :)

Answer:

(f • g)(x) = x² - 6x + 7

Step-by-step explanation:

Suppose

f(x) = x² - 2

g(x) = x - 3

Determine

(f • g)(x) = ...

We can compose the functions by doing the following

(f • g)(x) = f(g(x))

(f • g)(x) = f(x - 3)

(f • g)(x) = (x - 3)² - 2

(f • g)(x) = x² - 6x + 9 - 2

(f • g)(x) = x² - 6x + 7

I hope this helps!

Answer:

90°

Step-by-step explanation:

because from south to east is half of north which makes it 90°

Answer:

2/4 +6/8 =5/4

Step-by-step explanation:

Answer: C [tex]0\leq y\leq 5[/tex]

Step-by-step explanation:

Answer:

[tex]255.04[/tex] cm

Step-by-step explanation:

[tex]\pi r^{2} h[/tex]

[tex]\pi \times 3^2 \times h=7211[/tex]

[tex]\pi \times 9 \times h=7211[/tex]

[tex]h=7211 \div 9\pi[/tex]

[tex]h \approx 255.036954[/tex]

Answer:

h = 255.2 cm³

Step-by-step explanation:

V=πr²h

7211 = (3.14)(3)²h

h = 255.2 cm³

Answer:

Yes, Triangles in (1) are congruent

Step-by-step explanation:

Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.

1.) They must posses similar shape

2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)

Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.

Therefore, the two triangles are congruent.

Answer:

4:3

Step-by-step explanation:

240:180=

60(4):60(3)=

4:3

Hope this helps!

Answer:

4:3

Step-by-step explanation:

24:18

4:3

Answer:

Step-by-step explanation:

Given the first step in determining the solution to the system of equations,

y = –x2 – 4x – 3 and y = 2x + 5, algebraically as setting the two equations equal as shown:  –x2 – 4x – 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;

-x²-4x-2x = 5+3

As we can see, the term containing x in the right hand side of the equation (i.e 2x) are being brought to the left side of the equation. This will be the next step in the calculation

Answer:

D. Combine like terms onto one side of the equation.

Step-by-step explanation:

Zara ate 50 almonds last week which is 150% as many as she ate last week.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

Learn more about the percentages here:

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Answer:

No it isn't a function one of the x values, -3, repeats

Step-by-step explanation:

Answer:

32cm

Step-by-step explanation:

i think it is  symmetry of order 2 as it's rotational symmetry is 180°

Answer:

It has rotational symmetry of order 2 as it's rotational symmetry is 180°

Answer:

A=12

B=54

C=18

Step-by-step explanation:

A=first

B=second

C=third

A+B+C=84

B=3C

A=C-6

C-6+3C+C=84

5C-6=84

5C=90

C=18

A=C-6

=(18)-6

=12

B=3C

=3(18)

=54

12, 54, and 18 so, what he said is true

Step-by-step explanation: he already gave this to you

Answer:

Step-by-step explanation:

Area of triangle = (1/2)bh

                          [tex]=\frac{1}{2}*25*21.65\\\\[/tex]

                          = 270.625 cm²

Area of 6 triangles = 6 * 270.625

                              = 1623.75 cm²

Trapezium:

a = 25 cm

b = 25 +  12.5 +12.5 = 50 cm

h = 21.65 cm

[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]

=811.875 cm²

Area of two trapezium = 2 *811.875

                                     = 1623.75 cm²

Area of star = 1623.75 +1623.75

                  = 3247.50 cm²

Answer:

3247.50 cm sq

Step-by-step explanation:

c = 5j

c + j = 18

5j + j = 18

6j = 18

j = 3

c = 5(3) = 15

Answer: Carole is 15, Joe is 3

Answer:

Joe is 3 and Carole's age is 15

Step-by-step explanation:

Joe: x

Carole: 5x

5x+x=18

6x=18

x=3

Answer:

[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]

Step-by-step explanation:

[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]

Answer:

I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for [tex]g(x)=(\frac{1}{5}x)^2[/tex] is

Answer:

False

Step-by-step explanation:

Took the test and this is what I got

Answer:

The equation is 20 + 15x. Bill took 7 lessons.

Step-by-step explanation:

Let x represent the number of lessons Bill take. Then,

the total cost = materials fee + (each lesson cost).x

Since the materials fee is $20 and each lesson costs $15

The total cost = 20 + 15x

Since Bill's total cost was $125:

→ 125 = 20 + 15x

→ 105 = 15x

→ x = 7

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44

Hello!

The cost of the book is $150.

CP = [tex]\frac{SP(100)}{100 + PP}[/tex]

Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).

CP = [tex]\frac{180(100)}{100 + 20}[/tex]

CP = [tex]\frac{18000}{120}[/tex]

CP = 150

Answer:

$150

Step-by-step explanation:

let cp=x

(20/100*x) +x=180

1/5x+x=180

6x/5=180

6x=180*5

x=(180*5)/6

x=150

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

Learn more about Linear Equations in Two Variables;

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Answer:

1 yard = 3 ft

75 yards = 75 * 3

75*3 = 225

He ran 225 ft

If you need inches = 225*12

inches = 2700 inches

Answer:

225 feet

Step-by-step explanation:

3 feet equals 1 yard

? Feet equals 75 yards

75 times 3 equals 225 feet

Answer:

1/8÷7

Step-by-step explanation:

I think

Answer:

please give more clarification

Answer:

33680

Step-by-step explanation:

Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

Answer:

The value of X is 75°

<EFB +105°=180° (Being straight line)

<EFB=180-105

<EFB= 75°

X = <EFB = 75°. (corresponding angle)

Answer: the awnser is 0 jk its not

Step-by-step explanation:

i just want point repete dkmkmkrfnjrjnnfrfr

Answer:

Yes, it can make a right triangle.

Step-by-step explanation:

We can use the Pythagorean Theorem to determine if the sides make a right triangle.

[tex]a^2+b^2=c^2[/tex]

We are given the side lengths: 5cm, 13cm, and 12 cm.

13cm is the longest, so it would be 'c'.

5cm and 12cm will be 'a' and 'b'.

Let 5 be 'a', 12 be 'b', and 13 be 'c':

[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]

5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.