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Delicious77 [7]
2 years ago
15

Write the absolute value equation that has two solutions x=5 and x=11

Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

|8-x|=3

Step-by-step explanation:

Find the average

11+5=16

16*1/2=8

8-5=3

8-11=-3

|3|=|-3|

|8-x|=3

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11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?
leonid [27]

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or g = \frac{m-3}{2}

The answer that gives us this, is C.

6 0
2 years ago
Ashley bought a bag of 15 sweet potatoes. She used 2/5 of them for sweet potato casserole and 1/3 of them for sweet potato pie .
Tcecarenko [31]
The fraction she used was 12/7
3 0
3 years ago
Read 2 more answers
Help me solve this please
damaskus [11]

1) A quadratic will have no real roots when its discriminant is negative


0 = ax^2 + bx + c = x^2 + 2k x + (4k-3)


d = b^2 - 4ac =  (2k)^2 - 4(1)(4k-3) = 4k^2 - 16k + 12 < 0


Dividing by 4,


k^2 - 4 k + 3 < 0 \quad\checkmark


We have a positive coefficient on k^2 so this parabola is a CUP (concave up positive) so has a minimum at the vertex. If the vertex y value is less than zero, the inequality will be true in the range between the zeros.


(k-3)(k-1)


That's true for


1 < k < 3


2) We look for the meet of the line and the parabola:


2x + k + 2 = 2x^2 + (k+2)x + 8


0 = 2x^2 + kx + (6-k)


For two intersections we need a positive discriminant:


k^2 - 4(6-k)(2) > 0


k^2 + 8k - 48 > 0


(k+12)(k-4) > 0


That's means two negative or two positive, so


k < 12 or k > 4


6 0
3 years ago
2x + 6 = 10 is an example of
lbvjy [14]

2x + 6 = 10 is an example of Algebraic Equation

5 0
2 years ago
Read 2 more answers
What is 16/20 in simplest form
ki77a [65]
8/10= 4/5
4/5 is the simplest form (:
3 0
3 years ago
Read 2 more answers
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