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guajiro [1.7K]
3 years ago
9

9 - 4(2x - 1) = 45 please help​

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

x=-4

Step-by-step explanation:

9-4(2x-1)=45

First, we expand the equation using the distributive rule:

x(y-z)=xy-xz

Hence, 9-4*2x-4*-1=45

Simplify: 9-8x+4=45

Add like terms:

13-8x=45

Subtract 13 from both sides: -8x=32

Divide both sides by -8:

x=-4

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20,000 would be the answer
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Make x the subject of the formula 6x+a=5
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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

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2 years ago
2. There are 3 marbles (yellow, blue, and
AURORKA [14]
   y          b         g
/    \       /  \       /   \
h    t     h   t     h    t
soooo 6 outcomes
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Breoz
Viktor [21]

The second statement is:

B: a + b = b + a

Which is the commutative property, so we know that this statement is true.

<h3>Which statement is always true?</h3>

Remember that for integer numbers, we have the following properties:

  • Commutative property: A + B = B + A
  • Associative property: (A + B) + C = A + (B + C)

Now, in this case we know that a and b are integer numbers, first we can see that the second statement is:

B: a + b = b + a

Which is the commutative property, so we know that this statement is true.

The other 3 statements are false. You can see it by evaluating a = 0 and b = 1.

If you want to learn more about addition:

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