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Advocard [28]
2 years ago
15

The following table gives the statements and justifications for solving the equation 4(x - 7) + 14 =

Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer:

From top to bottom:

Simplify

Combine like terms

Subtract 3x from both sides

Add 14 on both sides

Step-by-step explanation:

Hope this helps

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Find an integer value of b that makes x^2 + bx - 81 factorable.
Kaylis [27]

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

  1. we can find two terms which when multiples = -81x²,   <em> ( x² * - 81 = -81x² ) </em>
  2. and when add = bx

possible factors:

  1. -1x * 81x = -81x²   (Accepted)
  2. 1x * -81x= -81x²    (rejected)
  3. 9x * -9x = -81x²    (rejected)
  4. -9x * 9x = -81x²    (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

     b   = 80

<h3>The equation is x² + 80x - 81</h3>

5 0
3 years ago
Find the value of |-4 + 3| · 8.
Kay [80]

Answer:

20

----------------------------------------------------------------------------------------------------------

<h3>Solve</h3>

Any negative number added to a positive number always brings you further to the left, which is considered the negative zone. It's more like subtracting in a different way. That said, let's make the equation.

-4 = -4<em> </em>

Now, multiply 3 by 8.

3 * 8 = 24

Add negative 4, meaning subtract 4 in a dynamic way.

|-4 + 24~| = 20

5 0
3 years ago
Simplify using the distributive property. 5 Marks<br> 1/5(4m+20)<br><br> 9(5/9 y-1/3)
Zarrin [17]

Answer+Step-by-step explanation:

\frac{1}{5} \left( 4m+20\right)  =\frac{4}{5}m + \frac{20}{5} = \frac{4}{5}m + 4

9\left( \frac{5}{4} y-\frac{1}{3} \right)  =\frac{9\times5}{9} y-\frac{9}{3} = 5y - 3

4 0
2 years ago
Use an array and partial products to find
creativ13 [48]
Well done mate you’re correct.
3 0
3 years ago
The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?
AVprozaik [17]
I believe the answer should be approximately 6,147 because you would plug into the equation y=20,000(.95)^t, where t=23.
6 0
3 years ago
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