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3 years ago

If r=9, b=5, and g=6. what does (r+b-g)(b-g) equal?

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

(r+b-g)(b-g)

I this question , we have the values of r,b and g given , which are r=9,b=5,g=6

And we have to find the value of the given expression . And for that we need to substitute the values of r,b and 9 in the expression. That is ,

(9+5-6)(5-6) = 8(-1) = -8

So the value of the given expression is -8.

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4 years ago

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Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group

kari74 [83]

Given:

The parent function is

$f(x)=8x+9$

To find:

The function after the reflection over the x-axis.

Solution:

We know that, if a function f(x) reflected over x-axis to get the function g(x), then

$g(x)=-f(x)$

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3 years ago

What is the decay factor in the exponential decay function y=a (1-r) t

MrRissso [65]

Answer:

in this form, the "-r" would cause the result to decrease

I assume that the answer is "r"

if r = .1 (10 %) then 1-.1 = .9

if you have 100 items then y = 100(.9)^1 = 90

the total decreased by 10% ... y = 100(.9)^2 after 2 time periods

Step-by-step explanation:

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3 years ago

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin

lianna [129]

We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ = $\frac{4}{3}$ π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.

R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = π r² h
V₁ = 3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³

b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × V₂
Vₐ = 3 × $\frac{4}{3}$ π r³
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c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
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