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AURORKA [14]
3 years ago
12

Factor the expression: 84x – 12x

Mathematics
2 answers:
liberstina [14]3 years ago
6 0
Subtract 12x from 84x = 72x
iris [78.8K]2 years ago
3 0
Subtract 84x and 12x from each other to simplify or factor the expression and you get 72x
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gladu [14]

Answer:

bx = - 3

Step-by-step explanation:

- 2(bx - 5) = 16

- 2bx + 10 = 16

- 2bx + 10 - 10 = 16 - 10

- 2bx = 6

- 2bx ÷ - 2 = 6 ÷ - 2

bx = - 3

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2 years ago
Write an equation of the parabola in vertex form. <br><br>No LINKS!!!! ​
marissa [1.9K]

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Answer:

  y = -16x² +180

Step-by-step explanation:

The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...

  y = a(x -0)² +180

The value of 'a' can be found using the other given point. Substituting for x and y, we have ...

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2 years ago
A plumber is installing dish washers in each 15 apartments. He needs 70 cm of tubing to connect each dishwashers to the water so
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70 cm x 15 apartments
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3 0
3 years ago
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a game is played with tokens according to the following rule and each round the player with the most tokens gives one token to e
gulaghasi [49]

Answer:

47 rounds and Eve wins.

Step-by-step explanation:

If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.

8 0
2 years ago
A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,
svp [43]

Answer:

✅The table can be represented by the equation, y = 4x + 4

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, y = 4x + 4.

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4.

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

y = 4x + 4.

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, y = 4x + 4, represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0
3 years ago
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