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Alex
3 years ago
6

Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age

. Which inequality represents Alicia’s possible age?
Mathematics
1 answer:
horsena [70]3 years ago
4 0
Ok, so amy is 8 years older than twice alica's age
if amy=y and alica=x
y=8+2x

and sum is less than 32
y+x<32

we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8


the inequality is x<8
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Solve each system of equations by graphing y=-1/2x+5 and y=3x-2
777dan777 [17]
Just make the equations equal to each other.  -0.5x+5=3x-2.  Solve for x and find that it is 2, via simple algebra.  Since you know x is 2, sub it in in either equation to find y.  y should be 4.  So the point that fits both equation is (2,4).  This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
3 0
3 years ago
What is the mean, median, mode, and range of 8, 35, 10, 12, 14?
Ivan

answer:

mean: 15.8

median: 12

mode: no mode

range: 27

step-by-step explanation:

  • first know how to find each of the above and what they are
  • mean = (avg) add all the numbers, then divide by the number of numbers
  • median = the middle number from increasing order
  • mode = the one that repeats the most
  • range = the difference between the largest and smallest number

8, 35, 10, 12, 14

<u>mean</u>

8 + 35 + 10 + 12 + 14 = 79

  • there are five numbers

79 / 5 = 15.8

<u>median</u>

  • put them from smallest to largest

8, 10, 12, 14, 35

  • 12 is the median OR the middle number

<u>mode</u>

  • no number repeat, so no mode

<u>range</u>

35 - 8 = 27

3 0
3 years ago
If y2 = x3 + 2, which statement is true? The equation is a function at all values of x. The equation is not a function. The equa
tatyana61 [14]

Answer:

The equation is not a function.

Step-by-step explanation:

We are given that

y^2=x^3+2

y=\pm\sqrt{x^3+2}

Function: It is mapping between the values of two sets A and B.

Each element of A has unique value in set B.

By definition of  function

In given function

y has no unique value for each value of x.

Substitute x=0

y=\pm \sqrt{0+2}=\pm \sqrt 2

Hence, it is not a function.

6 0
3 years ago
Please hep me fast!!!!!!!!!!
FromTheMoon [43]

Answer:

y = -1/2x

Step-by-step explanation:

The y - intercept is 0, because the point where the line touches the y - axis is y - value of 0

The slope is -1/2 because as it rises by -10, it runs by 20

Slope is rise/run which is -10/20 which simplifies to -1/2

y = mx + b

b = y - intercept

m = slope

y = -1/2x + 0 or y = -1/2x

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0
2 years ago
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Can someone please explain to me how to solve this problem? I have the answer already all I need is to know how to solve the pro
omeli [17]

Answer:

Step-by-step explanation:

you have two supplementary angles,

both added up=180

7y+5y=12y

12y=180y=15

angle DBC=7y=15*7=105

5 0
2 years ago
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