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Rudiy27
3 years ago
12

Write an equation to represent the sentence.

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

2x + x/2 = 10

Step-by-step explanation:

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Choose the correct vertex of the function f(x) = x2 - X + 2.
8_murik_8 [283]

Answer:

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

f(x) = x² - X + 2.

Quadratic equation with a = 1, b = -1, c = 2

So

\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7

x_{v} = -\frac{(-1)}{2} = \frac{1}{2}

y_{v} = -\frac{-7}{4} = \frac{7}{4}

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

4 0
3 years ago
A compass draws all points that are equidistant from a fixed point, thereby creating a Locus of points for a circle
sergey [27]
Answer is true hope this helps
3 0
3 years ago
usain bolt, a Jamaica retired sprinter and world record holder in the 100 meters, 200 meters and 4 × 100 meters relay, has an av
Novosadov [1.4K]

For this case we have the following conversion of units:

1mi = 1609m

1h = 3600s

Thus, applying the conversion of units we have:

(23.35 \frac{mi}{h}) (\frac{1609}{1}\frac{m}{mi}) (\frac {1}{3600}\frac{h}{s}) = 10.4 \frac{m}{s}

Then, the distance traveled for 5 seconds is given by:

d = (10.4) (5)

d = 52m

Answer:

he has completed 52 meters of the 80-meter race

5 0
3 years ago
Identify a pattern and find the next number in the pattern.<br> -48, -24, -12, -6
vodka [1.7K]
It's would be plus haft that number (it's a negative) and the next number would be 0
3 0
3 years ago
Read 2 more answers
One group (A) contains 330
katrin2010 [14]

Answer:

group A.)220/330

group B.)339/509

Step-by-step explanation:

2/3 of 330 is 220 therefore the people selected in group a to win $100 fuel cards  will be 220/330

same thing for group B. 2/3 of 509 is 339 so the answer will be 339/509

                                  (hope i helped:))

4 0
4 years ago
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