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Ugo [173]
3 years ago
8

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7? x greater-than-or-equal-to negative 7 x greater-than-or-

equal-to negative 6 x greater-than-or-equal-to 6 x greater-than-or-equal-to 7
Mathematics
2 answers:
kari74 [83]3 years ago
6 0

Answer: Option B

x>-6

Step-by-step explanation:

its the answer on edge

VARVARA [1.3K]3 years ago
3 0

Answer:

Domain= {x\geq -6}

Step-by-step explanation:

The function given is: f(x)=\sqrt{x+6} -7, and we are asked to find the Domain of it. Let's recall that the Domain of a function is the set of all x-values for which the function is defined (can be evaluated rendering a real number as result). So in order to find which x-values constitute such Domain, let's investigate for which x-values we can effectively evaluate the square root of "x+6".

Notice that the square root is not defined for radicands that are negative (less than zero). The only radicands that are allowed are those greater than or equal to zero. So that is exactly the condition we want to impose on the radicand: to be greater than or equal to zero (\geq 0). Our radicand is the expression: "x+6", so we write in math terms the necessary condition as:

x+6\geq 0

and solve for "x" in the inequality (isolating "x" on one side:

x+6\geq 0\\x\geq -6

The Domain of this function is therefore all those real "x" values that are greater than or equal to negative 6 (x\geq -6)

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You have no idea how much it would mean to me and make my day if you helped me with this question ! :)
rodikova [14]
So to do this, you would use the formula: 

Number of favorable outcomes
________________________

Total number of outcomes.


In the first question you are asked: Probability of an even number being spun. We can see that there are 4 even numbers, which is our favorable outcome and that over the number of outcomes, which is 8, would be 4/8 = 0.5 or 50%. Therefore the answer to #1 is 0.5 as a decimal or 50% as a percent. (Do it the way the directions tell you to).

In the second question you are asked the probability to spin a number greater than 3. This does not include 3, so you have 4, 5, 6, 7, and 8. That is 5 numbers. 5 numbers divided by the total number of outcomes is 5/8, which is equal to 0.625, or 62.5%. Therefore the answer to #2 is 0.625 as a decimal or 62.5% as a percent.

The third question asks for the probability that an odd number would be spun. We can see the odd numbers are: 1,3,5,7. This is 4 favorable outcomes divided by 8, the total number of outcomes. 4/8 is equal to 0.5 or 50%. Therefore the answer to #3 is 50% as a percent or 0.5 as decimal.

Hope this helps. Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps!

8 0
3 years ago
If the two lines y1 = -1/2x +5 and y2 = 2x + 5 were to be graphed, what would their intersection point represent?
grigory [225]

Answer:

D. Their intersection point is the only point where the same input into both functions yields the same output.​

Step-by-step explanation:

The intersection point of 2 graphed lines represents the solution.

At this point, for both lines, there is the same x value (input) and the same y value (output) because both of the lines have that point in common.

So, if those 2 lines were to be graphed, the intersection point would represent the only point with the same input and output for both functions.

D is the correct answer.

7 0
3 years ago
2(2x + 3) = -6(x + 9)
sergeinik [125]

Answer:

Your answer is -6.

Step-by-step explanation:

Simplify 2(2x+3) to get 4x+6  

Then simplify -6(x+9) to get -6x-54

Now you have 4x+6=-6x-54

Move all of the coefficients to one side:

10x+6=-54

Move all of the constants to the other side:

10x=-60

Divide each side by 10:

10/10x=-60/10

To get your answer of -6.

6 0
3 years ago
15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms
baherus [9]
<h3>3 Answers:</h3>
  • Coefficient is -8
  • Terms are 15 and -8x
  • Constant is 15

Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

5 0
3 years ago
Read 2 more answers
Does the object below have a measurable volume? How do you know?
JulsSmile [24]

Answer: YES! cuz...

SOLID OBJECT The volume of any regularly shaped solid object is mea- sured in cubic units. The word cubic means that the object is not flat. The volume of an object is calculated by multi- plying three measurements: length, width, and height.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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