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Leviafan [203]
3 years ago
7

To solve a system of inequalities, you just need to graph each inequality and see which points are in the overlap of the graphs

Mathematics
2 answers:
Ray Of Light [21]3 years ago
5 0
Is this a question?
stealth61 [152]3 years ago
3 0

Answer:

the correct anwser is true

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What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)
nydimaria [60]
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation  is y =2x²-3x+4



6 0
3 years ago
Find four fractions between 1/10 and 1/8
Alex17521 [72]

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

<em>Check</em>

  • 1/8 = 0.125
  • 5/42 ≈ 0.119
  • 5/44 ≈ 0.114
  • 5/46 ≈ 0.109
  • 5/48 ≈ 0.104
  • 1/10 = 0.100

_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

6 0
3 years ago
A quantity, y, varies directly as x When y=10, x=6.<br> Find xwhen y= 14.
grigory [225]

The value of x when y = 14 is 8.4

<h3 />

<h3>How to solve variation ?</h3>

y, varies directly as x. Therefore,

y ∝ x

Therefore,

y = kx

where

  • k =constant of proportionality

Therefore,

10 = 6k

k = 10 / 6

k = 5 / 3

Hence, when y = 14

y = kx

14 = 5 / 3 x

cross multiply

42 = 5x

x = 42 / 5

x = 8.4

learn more on variation here: brainly.com/question/20707320

#SPJ1

7 0
2 years ago
What is 20+20909909090909090909090909090909090
Katena32 [7]
20,909,909,090,000,000,000,000,000,000,000,000
6 0
3 years ago
Quick algebra 1 questions for 50 points!
Semenov [28]
The answer to this question is:

D. The y intercept is 52, and if Jordan does not use any gigabytes of data then his charge is $52

It’s in the y = mx + b form

The 52 is in the b area, which stands for the y intercept while the number with a variable is the rate.
5 0
2 years ago
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