Evaluate the expression for x = 4, y = 1:

x + 12
y + 3

Answers

Answer 1

Answer: 16 on the top and 4 on the bottom

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Write a compound inequality that represents each situation. Graph your solution.all real numbers that are greater than –6 but less than 6

A) –6 ≤ x < 6
B) –6 ≤ x ≤ 6
C) –6 < x < 6
D) –6 < x ≤ 6

Answers

The compound inequality that represents each situation is –6 < x < 6.

Let's consider the given situation step by step. We know that the numbers should be greater than -6, so we can use the symbol "x > -6" to represent this condition. Additionally, we need the numbers to be less than 6, which can be represented as "x < 6."

Now, we need to combine these two inequalities to represent the whole situation. Since we want both conditions to be true, we should use the "and" condition, which is represented by the symbol "∧" or simply by writing the inequalities side by side.

So, the compound inequality representing the given situation is:

-6 < x < 6

In this compound inequality, x represents any real number that is greater than -6 and less than 6. This means that the numbers between -6 and 6, excluding -6 and 6 themselves, are the solution set for this compound inequality.

Graphically, this can be represented on a number line. We draw a line and mark -6 with an open circle and draw an open circle at 6 as well. Then, we shade the region between -6 and 6 to show that all real numbers within this range satisfy the compound inequality.

So, the correct option is (c).

To know more about inequality here

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c a is greater than or equal to -6 but less than 6 b is greater than or equal to -6 but less than or equal to 6 d is greater than -6 but less than or equal to 6

What is 10.4% written as a decimal?

Answers

Answer:

0.104 is 10.4%

Step-by-step explanation:

The curve y=ax³ +bx² -x+5 has a point of inflexion at (1,-2). find the values of a and b

Answers

$y=ax^3+bx^2-x+5\ny'=3ax^2+2bx-1\ny''=6ax+2b\n\n0=6a\cdot1+2b\n6a+2b=0\n3a+b=0\nb=-3a\n\n-2=a\cdot1^3-3a\cdot1^2-1+5\n-2=a-3a+4\n-2a=-6\na=3\n\nb=-3\cdot3\nb=-9$

Purchase computer of 30000

Answers

Answer:

particular debit credit

Purchase A/C Dr 30000

To cash A/C 30000

If a bicycle cost $70.50 but it's on sale for 47% off how much is the discount what is the sale price

Answers

first multiply the two terms together to find out how much money is being discounted

$70.50 x .47 = 33.135

now subtract that number from $70.50

$70.50 - 33.135 = $37.37

ANSWER: the discount is $33.14 & the sale price is $37.37

|h-8|=|h+10| What is h

Answers

Your answer is h= -1

Final answer:

The value of h that satisfies the equation |h-8|=|h+10| is -1.

Explanation:

To solve the equation |h - 8| = |h + 10|, we need to consider two cases based on the absolute values.

First, when h - 8 is positive, we can rewrite the equation as h - 8 = h + 10. Simplifying this equation, we find that -18 = 0, which is not true.
Second, when h - 8 is negative, we rewrite the equation as -(h - 8) = h + 10.
Simplifying this equation, we get -h + 8 = h + 10.
Combining like terms, we have 2h = -2.
Dividing both sides by 2, we find that h = -1.