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3 years ago

If f(x) = 6x - 4, what is f(x) when x = 8? оооо

Mathematics

1 answer:

Drupady [299]3 years ago

3 0

Answer:

$f(x)=44$

Step-by-step explanation:

Replace the value of x with 8:

$f(x)=6(8)-4\\ \\ 6\times8= 48\\ \\ 48 -4 =44\\ \\ f(x)=44$

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Solve the inequality. 4x+6<3x-5 A)x<1 B) x<11 C) x<-1 D)x<-11

klasskru [66]

4x + 6 < 3x - 5 is our given inequality

4x < 3x -11 by subtracting 6 on both sides of the inequality sign

x < -11 by subtracting 3x on both sides.

Thus, x < -11 -- choice D -- is the solution.

4 0

3 years ago

Solve for the value of w.

Bezzdna [24]

(4w-8)+(3w+6)=180
7w-2=180
7w=180+2
7w=182
w=26

7 0

2 years ago

Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

3 years ago

Read 2 more answers

At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

If you want to choose 1 ingredient out of 7 you have 7 ways to do so.

If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so

If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so

If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so

If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so

If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so

If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0

3 years ago

Un edificio proyecta una sombra de 7.5m.mientras que un arbol que mide 1.6 m de altura proyecta una sombra 1.85 M¿Cual es la alt

sattari [20]

Answer: The height of the building is 6.49 meters.

Step-by-step explanation:

This can be translated to:

"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.

Which is the height of the building?"

We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:

(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)

H/7.5m = 1.6m/1.85m

H = (1.6m/1.85m)*7.5m = 6.49m

The height of the building is 6.49 meters.

5 0

3 years ago