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FromTheMoon [43]
3 years ago
12

Which graph shows the solution set of ?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

The questions should be on the top of each question as they come.

Step-by-step explanation:

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A café only sells two types of sandwiches, turkey and steak. The café charges $5 for turkey sandwiches and $6 for steak sandwich
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Answer:
43
Step-by-step explanation:
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2 years ago
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What is the range of the function f(x) = 3x2 + 6x - 8?
V125BC [204]

Answer:

  {y | y ≥ -11 }

Step-by-step explanation:

To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.

  f(x) = 3x^2 +6x -8

  f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms

  f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*

  f(x) = 3(x +1)^2 -11

The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:

  y ≥ -11

_____

* Vertex form is ...

  f(x) = a(x -h)^2 +k

where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.

The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.

_____

Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.

7 0
3 years ago
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
zimovet [89]

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

5 0
3 years ago
Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Dar
kari74 [83]
In order to find an average, you have to add all the numbers and divide by the number of things you added.

120.37 + 108.45 + 114.86 = 343.68
343.68/3 = 114.56

She spent an average of $114.56 each month on groceries.
4 0
3 years ago
What is 1/2 of 14? this is an algebraic expression!!
Vikentia [17]
1/2 of 14 is 7. multiply 14/1 to 1/2.
3 0
2 years ago
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