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2 years ago

Subtract (5x + 3) from (9x – 7).

Mathematics

2 answers:

IceJOKER [234]2 years ago

6 0

Answer:

4x - 11

Step-by-step explanation:

Set the expression.

9x - 7

- (5x + 3)

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

First, distribute -1 to all terms within the parenthesis:

-(5x + 3) = -5x - 3

Simplify. Combine like terms.

(9x - 7) + (-5x - 3) = 9x - 5x + (-7) - 3

(9x - 5x) + (-7 - 3)

4x - 11

4x - 11 is your answer.

Dafna1 [17]2 years ago

5 0

Answer:

$\large\boxed{4x-10}$

Step-by-step explanation:

$(9x-7)-(5x+3)\\\\=9x-7-5x-3\qquad\text{combine like terms}\\\\=(9x-5x)+(-7-3)\\\\=4x-10$

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The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. V

Elden [556K]

<h2>Answer/Step-by-step explanation:</h2>

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, $y = xk$ , where k is a constant. Thus,

$\frac{y}{x} = k$

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, $\frac{0.50}{1} = 0.5$

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into $\frac{y}{x} = k$ , should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

$\frac{y}{x} = k$ ,

$\frac{1}{2} = 0.5$ ,

When x = 3, y = 1.5:

$\frac{1.5}{3} = 0.5$ ,

When x = 5, y = 2.50:

$\frac{2.5}{5} = 0.5$ ,

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

5 0

2 years ago

How many solutions does the equation and 4x+8=0.1x+3+3.9x have? Explain.

iogann1982 [59]

Reduces to 8=-3. no solutions

6 0

2 years ago

The perimeter of a rectangle is represented by 4x2 + 5x − 2. The perimeter of a smaller rectangle is represented by x2 + 3x + 5.

REY [17]

<span>4x2 +5x - 2 -x2 +3x +5 Simplified: 3x2 + 8x +3 In order to determine the difference in size, you must subtract the perimeter of the smaller rectangle from the perimeter of the larger rectangle.</span>

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2 years ago

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If an exponential model was used to fit the data set below, which of the following would be the best prediction for the output o

satela [25.4K]

Answer:

The equation is found to be: $y = 50.6e^{0.16x}$

y(20) = 1241.34

Step-by-step explanation:

The given data is:

x: 3 7 11 14 17

y: 83 142 301 450 722

Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:

∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664

and, n = no. of data points = 5

Now, we use formulae of exponential regression model to find out values of constant:

b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]

b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]

b = 0.16

Now, for a;

a = (∑ln y - b∑x)/n

Therefore,

a = [(27.77305) - (0.16)(52)]/5

a = 3.9

For, α:

α = e^a = e^3.9

α = 50.6

So, the final equation of exponential regression model is given as:

$y = \alpha e^{bx}\\ y = 50.6e^{0.16x}$

Now, we find value of y for x = 20:

y(20) = (50.6) e^(0.16*20)

8 0

2 years ago

What is 1.7million add 345000

alisha [4.7K]

Answer: 7345000

Step-by-step explanation:

added them both togther use calcuylators it makes everyhting easier

hope this helps and hope this is correct

3 0

2 years ago

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