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mr Goodwill [35]
3 years ago
12

Which interval notation represent the set of all real numbers greater than 2 and less than or equal to 20

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0
The interval notation for numbers greater than 2 but less than or equal to 20 is (2,20]
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The distance from Antville to Beetleton is 60 km.
serious [3.7K]

Answer:

i. Time = 2 hours.

ii. Average speed for the whole journey = 25 km/h

Step-by-step explanation:

Distance from Antville to Beetleton = 60 km

Mr. Caterpillar's speed = 30 km/h

Speed = \frac{distance}{time}

⇒ time = \frac{distance}{speed}

            = \frac{60}{30}

            = 2

time = 2 hours

It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.

On his return journey, his average speed is 20 km/h. Therefore;

average speed for the whole journey = \frac{30 + 20}{2}

                                                 = \frac{50}{2}

                                                 = 25

average speed for the whole journey = 25 km/h

8 0
3 years ago
Please help me with this IXL! Thanks
vfiekz [6]
<h2>-0.71 is it i think so i dk </h2>
4 0
2 years ago
Crystal buys headphones that are on sale with a 40% discount. If crystal pays $24 for the headphones with the discount, what is
olga_2 [115]
$60 I belive is the answer
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3 years ago
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4 0
3 years ago
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

-7 = a + 3

-10 = a

Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

6 0
3 years ago
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