The inequality graphed below represents the ages, a, of
players on a baseball team.
Which inequality represents the same ages?
0 12 < a < 18
10 11 12 13 14 15 16 17 18 19 20
o 12 sa< 18
0 12 >as 18
O 122 a< 18

Answer:

Step-by-step explanation:

f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive.  Only

"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

The vertex of an absolute function is the minimum or the maximum point of the graph

The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)

The function is given as:

[tex]f(x) = |x - h| + k[/tex]

And the coordinates of the vertex (h,k) are said to be positive.

From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)

Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)

Read more about absolute value functions at:

brainly.com/question/2166748

Answer:

The numbers are 35 and 35.

Step-by-step explanation:

Let one odd number be x.

The next greater odd number is x + 2.

x + x + 2 = 68

2x + 2 = 68

2x = 66

x = 33

x + 2 = 35

The numbers are 35 and 35.

Answer:

70

Step-by-step explanation:

n =2  ;  3n + 2 = 3*2 + 2 = 6 + 2  = 8

n = 3 ; 3n + 2 = 3*3 + 2 = 9 + 2 = 11

n =4 ; 3n+ 2   = 3*4 + 2 = 12 + 2 = 14

n= 5;   3n +2 = 3*5 + 2  = 15 + 2 = 17

n = 6; 3n + 2 = 3*6 + 2 = 18 + 2 = 20

∑ (3n + 2) = 8 + 11 + 14 + 17 + 20 = 70

Answer:

70

Step-by-step explanation:

TTT

Answer:

B. 0

Step-by-step explanation:

The slope of a straight horizontal line is always equal to 0.

To support the above statement, we can show working out:

m = slope of the line

m = ( y1 - y2 ) / ( x1 - x2 )

Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )

y1 = - 2

y2 = - 2

x1 = 0

x2 = 1

m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]

m = ( - 2 + 2 ) / ( 0 - 1 )

m = 0 / - 1

m = 0

The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.

Answer: [tex](x+2)(x+8)[/tex]

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

[tex](x+2)(x+8)[/tex]

If you want the roots, just do the negation of r and q and you will get it!

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply both sides by -4/3.

-3/4f × -4/3 = 5/4 × -4/3

f = -20/12

f = -5/3

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Answer:

The table in the top right

Step-by-step explanation:

That table represents the equation y=-2x-1. It is the only table that represents a linear equation.

To be a linear equation it has to consistently add the same amount up and right OR down and right (depending on if it's a positive or negative equation)

I have included a picture of the graph with the equation and all points on it (click/tap on it to see the full picture.)

If this helped please rate, thanks, and mark brainliest :)

The table which represents a linear function is one on the top-right corner.

A linear function is a mathematical relation which is characterized by a constant slope otherwise known as the rate of change of the function.

Upon evaluation of the slope of each table; only the top-right corner table has a constant slope.

Ultimately, a linear function is characterized by a constant slope as observed in the top-right corner table in discuss.

Read more on linear function;

https://brainly.com/question/15602982

Answer:

  7200 cm^2

Step-by-step explanation:

The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.

The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.

The actual kitchen area is ...

  Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.

__

The difference between this area and the bedroom area is ...

  500,000 cm^2 -492,800 cm^2 = 7200 cm^2

The kitchen is 7200 cm^2 smaller than the bedroom.

Answer:

479,001,600 ways

Step-by-step explanation:

When looking at this problem, there are 13 beads that can be put on first, 12 that can be put on second as the first one was already used, 11 put on third, and so on. This means the amount of necklaces you can make are 13*12*11...*2*1, or 13 factorial (13!). But since you can rotate the necklace this means that there are each combination has 12 others just like it, just rotated(13 in total). This means we must divide 13! by 13, which makes it 12!. 12! is equal to 479,001,600, which is the answer.

Answer:

6,227,020,800 different necklaces.

Step-by-step explanation:

To start making the necklace, you will have to choose one of the 13 beads. For the next bead, you will have 13 - 1 = 12 beads to choose from. For the next bead, you will have 12 - 1 = 11 beads to choose from, and so on and so forth, until all 13 beads are used.

So, you will have 13! different necklaces, since you would have 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 156 * 110 * 72 * 42 * 120 = 17160 * 362880 = 6227020800.

So, you will have 6,227,020,800 different necklaces.

Hope this helps!

Answer:

402.12 cm²

Step-by-step explanation:

45 degrees is 1/8 of a circle

πr² = whole circle

1/8*(3.1415926....)(32)² = 402.12 cm²

Answer:

The amount of ounces, Y, of the 12% substance is 3.33 ounces

Step-by-step explanation:

The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed

Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y

We have;

X×6% + Y×12% = 10 ounce × 8%

Which gives;

0.06×X + 0.12×Y = 0.08×10..........(1)

X + Y = 10.....................................(2)

Putting X = 10 - Y, we have;

0.06×(10 - Y) + 0.12×Y = 0.08×10

0.6 - 0.06·Y + 0.12·Y = 0.8

0.06·Y = 0.8 - 0.6 = 0.2

Y = 0.2/0.06 = 10/3 = 3.33 ounces

X = 10 - Y = 10 - 3.33 = 6.67 ounces

Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.

Answer:

The Answer is actaully 5

Step-by-step explanation:

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

Answer:

[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]

Step-by-step explanation:

[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]

[tex]\sf Remove \ brackets.[/tex]

[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]6n^4- 10n^2 + 10n[/tex]

Answer:

6 hours

Step-by-step explanation:

Kini: 9h+8

Duke: 7.5h+17

9h+8=7.5h+17

8-17=7.5h-9h

-9=-1.5h

6=h

Hope this helps, BRAINLIEST would help me alot!

Answer:

7.3 hours

Step-by-step explanation:

9h+8=7.5+17

-9h       -9h

8=1.5h+17

-17         -17

8=1.5h

1.5  1.5

7.3=h

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 1 → (1)

3x - y = - 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(- 1) + y = 1

- 2 + y = 1 ( add 2 to both sides )

y = 3

Solution is (- 1, 3 )

Answer: (-1,-3) or A on the quiz

Got it right

Have a nice day

Answer:

D

Step-by-step explanation:

convert miles to feet :

1 mile     5280 foot

2820*5280=14889600 ft

14889600/2=7444800 close to 7500000

D

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Isolate everything to 1 side

8x² - 2x - 3 = 0

Step 2: Factor

(4x - 3)(2x + 1) = 0

Step 3: Find roots

4x - 3 = 0

4x = 3

x = 3/4

2x + 1 = 0

2x = -1

x = -1/2

Answer:

144mn + 32m - 64

:)

Step-by-step explanation:

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

Answer: £ 8

Step-by-step explanation:

Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]

Since her total earnings for week = £ 320

So,

[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]

Thus, her normal rate of pay per hour = £ 8

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".

Answer:

La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].

Step-by-step explanation:

El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].

Numericamente hablando, Rodrigo, Carlos y Francisca compraron:

[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]

Del total de los pasteles que vende la Señora Carmen.

La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:

Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:

Fracciones con denominadores diferentes

Fracciones con iguales denominadores

De esta forma:

[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]

Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:

[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]

[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]

[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]

Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):

[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]

Resultando:

[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]

Esta fracción se suma a la siguiente y se procede de igual manera:

[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]

[tex] \\ \frac{3*3+10*1}{10*3}[/tex]

[tex] \\ \frac{9+10}{30}[/tex]

[tex] \\ \frac{19}{30}[/tex]

Tenemos entonces que:

De esta manera, la parte que aún está disponible es:

[tex] \\ 1 - \frac{19}{30}[/tex]

Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):

[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]

[tex] \\ \frac{30 - 19}{30}[/tex]

[tex] \\ \frac{11}{30}[/tex]

El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.

Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex],  que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.

Answer:

Step-by-step explanation:

Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.

We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).

Answer:

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

Answer:

P(X/Y) = 0.4545

Step-by-step explanation:

Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.

The probability that the transferred ball was black given that the second ball drawn was black is equal to:

P(X/Y) = P(X∩Y)/P(Y)

Where P(Y) = P(X∩Y) + P(X'∩Y)

Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:

P(X∩Y) = (5/12)*(7/11) = 0.2651

Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.

At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:

P(X'∩Y) = (7/12)*(6/11) = 0.3181

Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.

So, P(Y)  and P(X/Y) are equal to:

P(Y) = 0.2651 + 0.3181

P(Y) = 0.5832

P(X/Y) = 0.2651/0.5832

P(X/Y) = 0.4545

Answer:

Hope it helps

sorry fir bad camera view.....

Answer:

55°

Step-by-step explanation:

x°+35° is a right angle

so x°+35°= 90°

then : x° = 90°-35° = 55°

Answer: x = 20

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that all angles that makes up a straight line are equal to 180.  Thus, 125+35+x=180

First add

160+x=180

Then subtract

x=20

Hope it helps <3

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

Answer:

Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.

Step-by-step explanation:

Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h

Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m

La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.

Donde, la distancia cubierta = x, tenemos

300 metros ≤ x ≤ 400 metros.