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3 years ago

A colored ball was drawn out of a bag with replacement. What is

Mathematics

2 answers:

Tresset [83]3 years ago

5 0

Answer:

.Step-by-step explanation:

ivann1987 [24]3 years ago

4 0

There is a 1/3 chance. Hope I helped

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Diagram 1 shows a composite solid consisting of a cuboid and a right pyramid.

kondaur [170]

44 the total volume of this composite solid is 896

4 0

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)

6 0

3 years ago

Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that

Andre45 [30]

Answer:

$Laura = 0.60$

$Billy = 0.50$

0.60 > 0.50

Step-by-step explanation:

Given

$Laura = 60\ shades$

$Billy = 50\ shades$

Required

Represent using decimal number and compare

From the question, we understand that there are 100th grids;

So:

$Laura = \frac{60}{100}$

$Laura = 0.60$

$Billy = \frac{50}{100}$

$Billy = 0.50$

Comparing both decimals;

Since 0.60 is greater than 0.50, we have:

0.60 > 0.50

3 0

3 years ago

How many solutions are there to the functions? f(x)=3x+7

Andre45 [30]

Answer:

A. 0

Step-by-step explanation:

6 0

3 years ago

What’s the correct answer for this?

VMariaS [17]

Answer:

Second option is the correct answer

$(x+11)^2+(y+6)^2 = 324$

Step-by-step explanation:

$x^{2} +12y+22x+y^2-167=0\\x^{2}+22x +y^2 +12y-167=0\\(x^{2}+22x +121)-121 +(y^2 +12y+36)-36-167=0\\(x+11)^2+(y+6)^2-324 = 0\\\huge\red{\boxed{(x+11)^2+(y+6)^2 = 324}}\\$

5 0

3 years ago

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