Find the product.
(3x + y) (3x - 3y)

give answer here:

These are Function (7,2), (1,1), (8,1), (4,2), (3,11) These are not Functions (7,2), (1,1), (8,1), (4,2), (1,11)

step-by-step explanation:

The first set is a function i know this because for example the inputs which are 7,1,8,4,3 are buyers for a car and the output is 2,1,1,2,1 1 and those are the cars but the input is different buyers, The 2nd one has two of the same inputs which means the same buyer is buying two cars which is not fair so it makes it a non function.

A function y=f(x) has the property that for any x in the domain there is exactly one value for y=f(x).  

We can represent a function as a set of ordered pairs  { (x₁,y₁), (x₂,y₂), ... }.  Any set of ordered pairs where no value appears twice as the first element is a function.  If the same x appears twice (with necessarily different ys because it's a set) that's not a function.

Function example:  { (0,1), (1,3), (2,5), (3,7), (4,-13) }

Non-function example:  { (0,1), (1,3), (2,5), (3,7), (3,-13) }

In the first set no x is duplicated so it represents a function; in the second 3 is the x in two of the pairs; not a function.

Answer:

1000:193:13

Step-by-step explanation:

Requirement of water to make a medicine = 1 litre = 1000ml;

Amount of sucrose = 193ml;

Amount of saline solution = 13 ml;

Ratio of Water: Sucrose: Saline Solution is;

1000:193:13

It cannot be simplified further.

Thus, 1000:193:13 is the simplest form of ratio of the solutions

Answer: 2,000 milliliters.  

Step-by-step explanation:

Hi, to answer this question we have to add the amount of water and the amount of sports drink that he drank:

1 liter + 1 liter = 2 liters of liquid.

Finally, we have to convert the result into milliliters.

Since 1 liter = 1000 liters

We have to multiply the liters drank by 1000.

2 x 1000 = 2,000 milliliters.  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

True

Step-by-step explanation:

Answer:

the altitudes of a triangle intersect at the "orthocenter".

Step-by-step explanation:

The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.

Answer:

207

Step-by-step explanation:

So list out the numbers from digits.

1 digit numbers: 9

2 digit numbers: 90

3 digit numbers: 6

9 * 1 = 9

90 * 2 = 180

3 * 6 = 18

9 + 18 + 180 = 207

Answer:

207

Step-by-step explanation:

207 all the way

Answer:

42

Step-by-step explanation:

(7)x6

42

Answer:

42

Step-by-step explanation:

Remember:

P arenthesess

E xponent

M ultiplictaion

D ivision

A ddition

S ubtraction

First,

3 + 4 = 7

Then,

7 x 6 = 42

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

17

Step-by-step explanation:

Based on the 2nd equation, it seems that x=-3-3y.  I got that by subtracting both sides by 6y and then dividing both sides by 2.  Now  substitute that in place of x in the first equation.  (-3-3y)/3-2y=14.  Simplify that and get               -1-y-2y=14.  Add 1 to both sides and simplify.  You get -3y=15.  Divide both sides by -3 and get y=-5.  Now substitute -5 into the equation for x. x=-3-3(-5)

x=-3+15=12

So x=12 and y=-5.  Now do 12-(-5)=12+5=17

Answer:

(7 a - 8y^2) x (3-y)

Step-by-step explanation:

21a+8xy^3 −24y^2−7axy

factor out 3 from the expression

3( 7 a - 8 y^2) + 8y^3 - 7 a y

3(7 a - 8 y^2) - y x (-8y^2 + 7 a)

Factor out 7 a - 8y^2 from the expression

(7 a - 8y^2) x (3-y)

= (7 a - 8y^2) x (3-y)

Answer:

Step-by-step explanation:

f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)

or f(x)=a(x²+9x+14)

it has zeros as -2 and -7.

Answer: x = 2

Step-by-step explanation:

Answer:

x = ± 2

Step-by-step explanation:

Given

(x² + 4)² - 11(x² + 4) + 24 = 0

Use the substitution

u = x² + 4, then

u² - 11u + 24 = 0 ← in standard form

(u - 3)(u - 8) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 8 = 0 ⇒ u = 8

Change u back into terms of x

x² + 4 = 8 ( subtract 4 from both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

One value of x tat is a solution is x = 2

Answer:

The digits go on for infinity (3.14159. . .), but the simplified version is equal to 3.14.  

Step-by-step explanation:

Answer:

[tex]a = \frac{5}{2}b[/tex]  

Step-by-step explanation:

6a - 4b = 6b + 2a

Combine like terms:

6a - 2a - 4b = 6b (Subtract '2a' from both sides)

4a = 6b + 4b (Add '4b' to both sides)

4a = 10b

[tex]a = \frac{5}{2}b[/tex]   (Divide both sides by 4)

Therefore, when simplified, [tex]a = \frac{5}{2}b[/tex].

Answer:

f(x) = x^2 - 2x + 12

Step-by-step explanation:

the f(x) equation has a y-intercept of 12 because f(x)=x^2 - 2x has a y-intercept of 0 and the + 12 at the end shifts the function up 12 units putting the y-intercept at (0,12) while on the graph of the function g(x) it intercepts the y-axis at (0,1).

Answer:

Whichever distance you can count the metric units and see that the x value is 7 on

Step-by-step explanation:

Whichever distance you can count the metric units and see that the x value is 7 on

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

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

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

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

(-1,1)

Answer:

(-1,1)

Step-by-step explanation:

The midpoint of a line can be found using the following formula:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Basically, to find the midpoint, add the x-coordinates and divide by 2, then add the y coordinates and divide by 2.

X-coordinate

Add the x-coordinates of A and B, then divide by 2.

The x-coordinates are the numbers that comes first in the points.

A: (-5,3)

B: (3, -1)

The x coordinates are -5 and 3.

Add the x-coordinates.

-5+3=-2

Divide by 2

-2/2=-1

The x-coordinate of the midpoint is -1.

Y-coordinate

Add the y-coordinates of A and B, then divide by 2.

The y-coordinates are the second numbers in the points.

A: (-5,3)

B: (3,-1)

The y-coordinates are 3 and -1.

Add the y-coordinates.

3+-1=2

Divide by 2.

2/2=1

The y-coordinate of the midpoint is 1.

If the x-coordinate is -1 and the y-coordinate is 1, the midpoint is (-1,1)

Answer:

Jeffrey's pickup truck will be able to carry 55 square feet of granite.

Step-by-step explanation:

There are 2000 pounds in 1 Ton

Jeffrey's pickup truck bed can safely hold half a ton of weight.

So that means his pickup truck can hold

2000/2 = 1000 pounds

He also plans to pick up a 120-pound kitchen sink in the same trip.

So the remaining weight limit is

1000 - 120 = 880 pounds

Since the granite weighs 16 pounds per square foot

880/16 = 55 sq ft.

Therefore, Jeffrey's pickup truck will be able to carry 55 square feet of granite.

Answer:

The answer is 55

Step-by-step explanation:

Answer & Step-by-step explanation:

Answer after you have shown organized work to get to the solution. 4. If you have ... content that you may have trouble with- search under 6th and 7th grade math. If you are ... Olivia has $143 in the bank. She withdraws. $40. Then she deposits $92. Write an addition expression to represent the situation. Then find the sum. 8

Answer:

45

Step-by-step explanation:

The total amount of oranges and apples in the box are 54.

54/(1+5)

54/6

= 9

Oranges to apples is in the ratio 1:5

1×9 : 5×9

9 : 45

The number of oranges in the box are 9.

The number of apples in the box are 45.

Answer:

45 apples and 9 oranges

Step-by-step explanation:

Total = 54

Ratio = 1:5

Total Parts = 1+5 = 6

Oranges:

=> [tex]\frac{1}{6} * 54[/tex]

=> 1*9

=> 9 oranges

Apples:

=> [tex]\frac{5}{6} * 54[/tex]

=> 5*9

=> 45 apples

Answer:

I think x has no value in that function

Step-by-step explanation:

Answer:

See explanation.

Step-by-step explanation:

The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8

This is a mere simplification problem. We have simplified 30/8 into 3 6/8.

To start, let's check out the multiples of 8 that are less than 30

8, 16, 24. We want the largest multiple, 24. here we have

[tex]\frac{24}{8} + \frac{6}{8}[/tex]

Simplify 24/8 into 3.

Now you're done!

3 6/8!

Answer:

The exponential function represents growth, the percentage rate of increase is 7.8 %

Step-by-step explanation:

Please see the attachment.

The exponential function represents growth, the percentage rate of increase is 7.8 %

Answer:

A Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.  

Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

[tex] \\ \$2000 - \$1776 = \$224[/tex]

Step-by-step explanation:

Para resolver el problema se deben obtener los subtotales de cada una de las transacciones en los que Analía gastó el dinero:

Primera transacción: compra de 12 camisas

Compró 12 camisas a $21 cada una. El monto por esta transacción es:

[tex] \\ \frac{\$21}{camisa} * 12\;camisas = \$252[/tex]

Primera transacción: T1 = $252.

Segunda transacción: compra de 24 remeras

Compró 24 remeras a $11 cada una:

[tex] \\ \frac{\$11}{remera}*24\;remeras = \$264[/tex]

Segunda transacción: T2 = $264.

Tercera transacción: compra de 40 polleras

Compró 40 polleras a $56 cada una:

[tex] \\ \frac{\$56}{pollera}*40\;polleras = \$2240[/tex]

Tercera transacción: T3 = $2240.

Cuarta transacción: devolución de pantalones y descuento

Devolvió 20 pantalones (y se lo descontaron de lo que tenía que pagar). El costo de cada pantalón es de $51 cada uno:

[tex] \\ \frac{\$51}{pantalon}*20\;pantalones = \$1020[/tex]

Cuarta transacción: T4 = $1020.

Quinta transacción: pago de ida y vuelta en transporte

Finalmente, el taxi para ir y volver del negocio le costó $40.

Quinta transacción: T5 = $40.

¿Cuánto gastó en total Analía?

A todo lo que Analía gastó, le debemos restar lo obtenido en el descuento por la devolución de pantalones (Cuarta transacción). Este último dinero corresponde a una transacción a favor de Analía, por lo que se resta a lo que ella ha gastado. De esta manera:

[tex] \\ Total = T1 + T2 + T3 - T4 + T5[/tex]

[tex] \\ Total = \$252 + \$264 + \$2240 - \$1020 + \$40[/tex]

Para hacer más notorio el total de lo que gastó y lo que le descontaron a su favor, tenemos:

[tex] \\ Total = \$252 + \$264 + \$2240 + \$40 - \$1020[/tex]

[tex] \\ Total = \$2796 - \$1020[/tex]

[tex] \\ Total = \$1776[/tex]

Entonces, Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

[tex] \\ \$2000 - \$1776 = \$224[/tex]

En conclusión, a Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.

Answer:

Step-by-step explanation:

Let y = -A cos B(t -c) + D

A, amplitude = 20ft

Period = 2π / B ( B = π / 15)

= 30

c = 0

Vertical shift D = 21.5 ft

Equation becomes

[tex]y= -20 \cos \frac{\pi}{15}( t-0)+21.5[/tex]

[tex]\to y=-20\cos \frac{\pi}{15} t+21.5[/tex]

a) Top of the ferris wheel is

t = 15sec, 45sec, height = 41.5ft

b) At the bottom of the ferris wheel

t = 0, 30sec, 60 sec

height = 1.5ft

c) Exact middle of the ferris wheel

t = 15/ 2 = 7.5sec, 22.5sec, 37.5sec, 52.5sec

d) [tex]f(t) or h = -20 \cos (\frac{\pi}{15} t)+21.5[/tex]

Answer:

1/2x +5

Step-by-step explanation: Right answer

Answer:

[tex]f^{-1} (x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10[/tex]

[tex]y=2x-10[/tex]

[tex]y+10=2x[/tex]

[tex]\frac{y+10}{2}=x[/tex]

[tex]\frac{x+10}{2}=y[/tex]

[tex]\frac{x+10}{2}=f^{-1} (x)[/tex]

Answer:

Scale factor could be calculated by the ratio of a pair of corresponding sides:

Here, select the top sides, scale factor = 44/22 = 2

Hope this helps!

:)

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

The ratio of the areas of the similar triangles is 1 : 9

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔDEF

And , they are similar triangles

Now , the sides of one are three times as long as the sides of the other

Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:

a : 3a = b : 3b = c : 3c

Simplifying this, we get:

1 : 3 = 1 : 3 = 1 : 3

This means that the corresponding sides of the two triangles are in a ratio of 1:3

Now, let's use the formula for the area of a triangle:

A = ( 1/2 ) x base x height

The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:

(1/2) x 1 x 1 : (1/2) x 3 x 3

So , the ratio is 1 : 9

Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer:

[tex] 155 = {2}^{7} + {3}^{3} [/tex]

Step-by-step explanation:

[tex] \because \: 155 = 128 + 27 \\ 128 = {2}^{7} \: \: and \: \: {3}^{3} \\ \\ \huge \red{ \boxed{ \therefore \: 155 = {2}^{7} + {3}^{3} }}[/tex]