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anyanavicka [17]
3 years ago
14

Find the value of a3 + 3b2 when a = 2 and b = -2

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Given:

a = 2 and b = -2.

To find:

The value of a^3+3b^2.

Solution:

We need to find the value of expression a^3+3b^2 at a = 2 and b = -2.

Substituting a = 2 and b=-2 in a^3+3b^2, we get

(2)^3+3(-2)^2

=8+3(4)

=8+12

=20

Therefore, the value of expression a^3+3b^2 at a = 2 and b = -2 is 20.

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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0
1 year ago
( -2 ) × (4.5) equals
KatRina [158]

Answer:

-9

Step-by-step explanation:

A negative times a positive make a negative outcome. (Using rule of integers)

2×4.5=9

Make it negative to get -9

3 0
2 years ago
Read 2 more answers
It takes 3 minutes to fill a 60 L bathing pool. What is the average rate in liters per hour
zubka84 [21]
It takes 3 minutes to fill 60L, so it takes 1 hour to fill 1200L.
6 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism
melomori [17]

Answer:

608 ft²

Step-by-step explanation:

<u>1) Find the area of the bases</u>

A=\frac{1}{2} bh where b is the base length and h is the height

Plug in b and h

A=\frac{1}{2} (12)(8)\\A=48

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

<u>2) Find the area of the two sides facing up</u>

A=lw where l is the length and w is the width

Plug in l and w

A=10*16\\A=160

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

<u>3) Find the area of the bottom side</u>

A=lw where l is the length and w is the width

Plug in l and w

A=12*16\\A=192

Therefore, the area of this side is 192 ft².

<u>4) Add all the areas together</u>

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0
3 years ago
Read 2 more answers
Vcvvvv
VARVARA [1.3K]

I'm not sure Google it tho might help

5 0
2 years ago
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