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const2013 [10]
2 years ago
6

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

Mathematics
2 answers:
cricket20 [7]2 years ago
6 0

Answer:

24 - 6 =

Step-by-step explanation:

mafiozo [28]2 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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The answer would be 34
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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:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

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

<em>Take -2 as a common factor.</em>

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

<em>Now factor the expression x ^ 2 -8x +15</em>

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)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

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

<u>Then the vertice is:</u>

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.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Use complete sentences to explain why |x|+2&gt;|x|
Anna007 [38]
The absolute value of an given number is always positive.  So, when adding two to any positive number will always be greater than the number by itself.
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3 years ago
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alexandr402 [8]
Idekxbbdbdbdbbddbbddbbdd
6 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 5
ArbitrLikvidat [17]

<u>Answer:</u>

$50 and $115

<u>Step-by-step explanation:</u>

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:

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Solving for x to get:

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

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