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2 years ago

The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Mathematics

1 answer:

Alecsey [184]2 years ago

6 0

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

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2 years ago

A man travelled 3/8 of his journey by a rail 1/4 by a taxi 1/8 by and the remaining 2km on foot what is the length of his total

Burka [1]

The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.

Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,

3/8 + 1/4 + 1/8 + x = 1

The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,

x = 1 - 3/8 - 1/4 - 1/8
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That means that the travel by foot comprises 1/4 of the whole journey. Thus,

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1.4*D = 2 km
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Therefore, the man travelled a total of 8 kilometers.

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2 years ago

Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?

Goshia [24]

20/5 = 4
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2 years ago

11 th term of the following geometric sequence.<br> 10,50,250,1250

Natasha2012 [34]

Answer:

97,656,250

Step-by-step explanation:

The first term, a(1), is 10. The next is 5 times greater. And so on. Thus, the common ratio is 5, and the general formula for this sequence is

a(n) = a(1)*5^(n -1).

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a(11) = 10*5^(11 - 1) = 10*5^10 = 97,656,250

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2 years ago

Which is an equation of the line that passes through (–1, –5) and (–3, –7)?

babymother [125]

Answer:

y = x - 4

Step-by-step explanation:

The line passes through (-1,-5) and (-3,-7)

The slope of a line is given by; change in y ÷ change in x

i.e slope = $\frac{-7 - -5}{-3 - -1}$ = $\frac{-2}{-2}$ = 1

Taking another point (x,y) on the line.

Slope will be; $\frac{y - -5}{x - -1}$ = 1

Cross multiplying gives; y + 5 = x + 1

Simplifying this equation gives us the equation of our line which is;

y = x - 4

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3 years ago