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goblinko [34]
2 years ago
11

After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Mathematics
1 answer:
puteri [66]2 years ago
5 0

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

<em />

<em>collect similar terms together</em>

<em />

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: brainly.com/question/8956927

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Oksana_A [137]

Answer:

Step-by-step explanation:

Given the function :

y=x³ - 3x² - 9x + 2. The largest and smallest values ​​of the function at interval [-2, 4]

We substitute x values in the interval (-2 to 4) into the equation and solve for y

At x = - 2

y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0

At x = - 1

y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7

At x = 0

y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2

At x = 1

y = (1)³ - 3(1)² - 9(1) + 2 = - 9

At x = 2

y = (2)³ - 3(2)² - 9(2) + 2 = - 20

At x = 3

y = (3)³ - 3(3)² - 9(3) + 2 = - 25

At x = 4

y = (4)³ - 3(4)² - 9(4) + 2 = - 18

Function is greatest at

7 0
2 years ago
What is the domain and range? ex. (-4, infinity)
nevsk [136]

Answer:

Step-by-step explanation:

Domain for the bottom graph

D: [-6,0)

R: (-6,5]

7 0
3 years ago
Solve-2a - 5 &gt; 3.<br> Which graph shows the solutions?
stellarik [79]
The last number line the correct answer!
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4 0
2 years ago
Read 2 more answers
Suppose Riley is interested in the cost of a gallon of gas in her state. She finds the cost of a gallon of regular gas at 61 ran
hichkok12 [17]

Answer:

The standard deviation of the sample is 0.0064.

Step-by-step explanation:

The standard deviation of a sample of length n of a population with standard deviation \sigma is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

61 randomly selected gas stations. This means that n = 61

The standard error of the mean is $0.05. This means that \sigma = 0.05.

What is the standard deviation of the sample?

s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{61}} = 0.0064

The standard deviation of the sample is 0.0064.

5 0
3 years ago
Roger has 15 cups of punch. He is filling glasses that fit 1/2 a cup each. How many glasses can he fill?
Tcecarenko [31]

Answer:

30

Step-by-step explanation:

If Rodger has 15 cups of punch. There are glasses that have a 1/2 cup capacity. This means he is going to divide a 15 cups into 1/2 cups.

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This means he will have 30 cups to fill.

4 0
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