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3 years ago

Can you help me sort these out please

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

A 75% increase followed by 33.33% goes under less than the original
A 30$ increase followed by a 30$ decrease goes under same as the original
A 55% decrease followed by 25% increase goes under greater than the original
100% increase followed by a 50% decrease goes under less than the original
20% decrease followed by a 40% increase goes under greater than the original

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The speed limit near Marjorie's house is 30 miles per hour.

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The answer is 48 km/hr

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3 years ago

Watching his children graduate from high school is most likely a long-term goal for a person of which of these ages?

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Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?

Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

= -(x^2 -4x+3)

Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) = -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3 0 = x-1

x=3 x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) = -( 2-3)(2-1)

=-(-1)(1) = 1

The vertex is (2,1)

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3 years ago

A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10

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3 years ago

Find the solution of the square root of the quantity of x plus 2 plus 4 equals 8, and determine if it is an extraneous solution

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Consider the equation:

$\sqrt{x+2}+4 = 8$

Subtracting '4' from both the sides of the equation, we get as

$\sqrt{x+2}+4-4= 8-4$

$\sqrt{x+2}= 4$

Squaring on both the sides of the equation, we get

$(\sqrt{x+2})^2 = (4)^2$

$x+2 = 16$

Subtracting '2' from both the sides of the equation, we get

$x+2-2=16-2$

x=14

Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.

Hence, it is not an extraneous solution.

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