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3 years ago

Charles has 24 marbels .he has 6 more yellow marbles than blue marbels

Mathematics

2 answers:

cricket20 [7]3 years ago

6 0

Answer:

24 - 6 =

Step-by-step explanation:

mafiozo [28]3 years ago

5 0

Answer: 2.N+(N+6)=24,where N is the number of blue marbles.

Step-by-step explanation: Let N represent the number of blue marbles and Y represent the number of yellow marbles, then:

24 = N + Y

But we know that there are 6 more yellow marbles than blue marbles, therefore:

Y = N + 6

So we have

24 = N + (N + 6)

which is the correct equation.

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Vlada [557]

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3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

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3 years ago

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3 years ago

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3 years ago

Two mechanics worked on a car. The first mechanic worked for 5

ArbitrLikvidat [17]

Answer:

$50 and $115

Step-by-step explanation:

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

$(x*15)hour+(165-x)*5 hour=1325$

Solving for x to get:

$15x-5x+825=1325$

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$x=50$

So the rate charged per hour by one mechanic is $50 and for the other mechanic = $(165-50)=$ $115.

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3 years ago