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jolli1 [7]
3 years ago
10

Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

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3 years ago
Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Ivahew [28]
Ok... so this question can be solved by using simultaneous equations. 

Use the general from of a parabola 

y = ax^2 + bx + c

you know the value of c, the y-intercept... y = -4

which means the equation is 

y = ax^2 + bx - 4

now use the other 2 points to get 2 equations in 2 unknowns

(-2, -20) just substitute 

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6 0
3 years ago
Find two consecutive odd integers such that 32 more than the lesser is three times the greater​
Maslowich

Answer:

First odd number  = 13

Second odd number  = 15

Step-by-step explanation:

Let

First odd number  = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33      (sign of transferred terms will be changed)

-4x = -24    

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number  = 2x + 1 =  2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0
3 years ago
For which pair of triangles would you use AAS to prove the congruence of the 2 triangles
DerKrebs [107]

Answer:

The correct option is B.

Step-by-step explanation:

According to AAS congruence rule, two triangles are congruent if two angles and a non included side are congruent to corresponding angles and side of another triangle.

We need two angles and a non included side, to use AAS postulate.

In option A, two sides and their inclined angle are congruent, therefore these triangles are congruent by SAS postulate and option A is incorrect.

In option B, two angles and a non included side are congruent, therefore these triangles are congruent by AAS postulate and option B is correct.

In option C, two angles and their included side are congruent, therefore these triangles are congruent by ASA postulate and option C is incorrect.

In option D, all sides are congruent, therefore these triangles are congruent by SSS postulate and option D is incorrect.

8 0
3 years ago
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