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ANEK [815]
3 years ago
9

Question

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Given:

The compound inequality is

9

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

9

Subtracting 6 from each side, we get

9-6

3

Divide each side by 3.

\dfrac{3}{3}

1

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

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A certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
shtirl [24]

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

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3 years ago
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Slope = -1/3 passing through (4,-9) <br> Point- slope form and slope-intercept form
AleksandrR [38]

Answer:

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Step-by-step explanation:

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What values of c makes the polynomial a perfect square? <br> x^2+16x+c
katovenus [111]
For
ax^2+bx+c=
and a=1

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b=16
16/2=8
8^2=64

the value of c should be 64

factored form
(x+8)^2
5 0
3 years ago
☆pls help no one has helped me and I'm so confused! ​
motikmotik

Answer:

Step-by-step explanation:

a). \frac{5\pm\sqrt{-4}}{3} = \frac{5}{3}\pm \frac{\sqrt{-4}}{3}

               = \frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}

               = \frac{5}{3}\pm\frac{2i}{3} [Since, i = \sqrt{(-1)}]

b). \frac{10\pm\sqrt{-16}}{2} = \frac{10}{2}\pm \frac{\sqrt{-16}}{2}

                  = 5\pm \frac{4\sqrt{-1}}{2}

                  = 5 ± 2i [Since, i = \sqrt{(-1)}]

c). \frac{-3\pm \sqrt{-144}}{6} = -\frac{3}{6}\pm \frac{\sqrt{-144}}{6}

                    = -\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}

                    = -\frac{1}{2}\pm 2\sqrt{-1}

                    = -\frac{1}{2}\pm 2i [Since, i = \sqrt{(-1)}]

4 0
3 years ago
49/10 as a mixed number
Anni [7]
 ⇒ \frac{49}{10} 

\frac{49}{10} is a improper fraction. 
\frac{49}{10} as a mixed number would be 4 \frac{9}{10}

⇒10 x 4 = 40 
⇒40 + 9 = 49 

\frac{49}{10} = 4 \frac{9}{10} 

⇒ANSWER = 4 \frac{9}{10}

 
7 0
3 years ago
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