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Georgia [21]
3 years ago
15

Which system of inequalities is represented by the graph?

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer: C

Step-by-step explanation: M.a.t.h.w.a.y

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What two number multiply to negative 20 and add to 19
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x;\ y-the\ numbers\\\\  \left\{\begin{array}{ccc}xy=-20\\x+y=19&\Rightarrow&x=19-y\end{array}\right\\\\subtitute\ to\ first\ equation:\\\\(19-y)y=-20\\19y-y^2+20=0\\-y^2+19y+20=0\ \ \ |change\ signs\\y^2-19y-20=0\\y^2-20y+y-20=0\\y(y-20)+1(y-20)+0\\(y-20)(y+1)=0\iff y-20=0\ or\ y+1=0\\\\y=20\ or\ y=-1

x=19-y\\\\for\ y=20\Rightarrow x=19-20=-1\\\\for\ y=-1\Rightarrow x=19-(-1)=20\\\\Answer:\boxed{\boxed{20\ and\ -1}}
4 0
4 years ago
Kevin took his car to Dwain's Automotive to have the engine replaced. Kevin was
tamaranim1 [39]

Answer:

Step-by-step explanation:

$2400 in labor

4 0
3 years ago
Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
11Alexandr11 [23.1K]

Answer:

(370-2x)ml

Step-by-step explanation:

We are given that

In first hand sanitizer

Total solution=200ml

Alcohol=15% of 200ml

Alcohol=\frac{15}{100}\times 200=30ml

In second hand sanitizer

Solution=200 ml

Alcohol=x% of 200 ml

Alcohol=\frac{x}{100}\times 200=2x ml

We have to find the water in the resulting mixture of hand sanitizers.

Total solution of two hand sanitizers=200+200=400ml

Total alcohol in two hand sanitizers=(30+2x)ml

Water in two hand sanitizers=400-(30+2x) ml

Water in two hand sanitizers=400-30-2x ml

Water in two hand sanitizers=(370-2x)ml

Hence, water  in the resulting mixture of hand sanitizers=(370-2x)ml

7 0
3 years ago
Ryan planted 1/6 of his garden with green peppers and 1/6 of his
joja [24]

Answer:1/6 plus 1/6 is 1/3

Step-by-step explanation:

7 0
3 years ago
Heather's monthly earnings are $3,387. She pays $400 in federal income tax, $260 in state income tax, and $259 in other taxes. W
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Answer:

$2468 left

Step-by-step explanation:

7 0
4 years ago
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