What is the slope of the x-axis?
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The probability of randomly selecting a name starting with the letter T from a bowl of 24 names is 12/24 . Which of the following describes the likelihood of selecting a name starting with the letter T?unlikelylikelyneither unlikely nor likely
If 80 is 80% of the value what is the value?
Provide an example of an operation that is commutative.Provide an example of an operation which is not commutative
Estimate a 15% tip on a dinner bill of $87.33 by first rounding the bill amount to the nearest ten dollars.
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Answer:
Step-by-step explanation:
When you have an inequality like this, you can treat it like an equation except for one part. If you ever divide or multiply it by a negative number or variable you have to flip the inequality. if it is equal to as well you keep that though. for instance
-5x ≤ 10
x ≥ -2
Anyway, in your case you have two inequalities, so you have to solve both and see what makes both true.
We'll start with 12x - 39 ≤ 9
12x - 39 ≤ 9 First add 39 to both sides
12x ≤ 48 Now divide both sides by 12, positive so no flipping
x ≤ 4
Next is:
-4x + 3 < -6 First subtract 3 from both sides
-4x < -9 Now divide both sides by -4, which means the sign flips
x > 9/4
Now, without even looking at the answers, what number or numbers are less than or equal to 4 and greater than 9/4? Well we pretty much described it there. All numbers starting from, though not including 9/4, which is 2.25, all the way up to, and including 4. B shows exactly that.
Final answer:
To solve the inequalities, the first is simplified to x > 4 and the second to x > 2.25 after applying proper arithmetic operations and considering the signs during division.
Explanation:
The student's question involves solving two inequalities, one of which is a linear inequality, and the other an inequality that requires adding or subtracting to isolate the variable. To solve the inequality 12x - 39 > 9, we add 39 to both sides to get 12x > 48, then divide both sides by 12 to find that x > 4. For the inequality -4x + 3 < -6, we subtract 3 from both sides to get -4x < -9, then divide by -4, remembering that dividing by a negative number reverses the inequality, resulting in x > 9/4 or x > 2.25.
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3 is in the hundredths place and since 5 is in the thousandths place you round up to 4.
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0.45 * 360 = 162 So the answer is 162 degrees
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The value of one of the roots x of the quadratic equation is 1.
A polynomial is an expression with nonnegative coefficients and consists of constants, variables, and operators ( addition, subtraction multiplication, and division)The highest power of the polynomial is called the degree of the polynomial. The polynomial whose degree is 2 is called a quadratic polynomial.
For example; , here the degree of the polynomial is 2, so it is a quadratic polynomial.
The roots of the equation can be calculated as:
Thus, one of the roots of the equation is 1.
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Answer:
x equals -1 and it also equals -13. They are both considered the roots.
Step-by-step
- (x+6)^2= 49 to get rid of the exponent square root each side of the equation.
- (x+6)= √49 Find square root of 49.
- (x+6)= ±7 It could be positive 7 or -7 because both of them squared equal 49. Now solve for each possible equation, (x+6)= 7 and (x+6)=-7.
- (x+6)=7 subtract 6 from each side.
- x= 1
- (x+6)=-7 Subtract 6 from each side.
- x=-13
- So the answers are -13 and 1.