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UNO [17]
3 years ago
11

What is the range of the function

Mathematics
1 answer:
natita [175]3 years ago
6 0
The 2nd option because once you distribute the "2" you're left with 2+4x, and when try moving the "x's" to the same side they cancel out. and 3 is NOT less than or equal to 2
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Please help. This is summer homework that's due in 2 days!
iVinArrow [24]
Split the surface area into geometric shapes as shown in the figure below.

Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.

Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.

Bottom part
The triangle is equilateral with each side  = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines)  equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²

The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²

Answer: The surface area is  283.3 cm²

4 0
3 years ago
Hector's service club is raising money by wrapping presents in the mall. The function f\left(x\right)=3xf(x)=3x describes the am
mestny [16]

Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

f(x)=3x

To find:

The f(658).

Solution:

We have,

f(x)=3x

Substitute x=658 to find the value of f(658).

f(658)=3(658)

f(658)=1974

It means, the club will earn $1974 for wrapping 658 presents.

Therefore, f(658)=1974.

7 0
3 years ago
Kelsey jog 60 feet in 6 second what is thus rate in miles per hour round to the nearest tenth
GenaCL600 [577]

Answer:10

Step-by-step explanation: divide 60 by 6

5 0
3 years ago
56.27 in expanded form​
Lana71 [14]

Answer:

Step-by-step explanation:

 56.27 =

 50  

+ 6  

+   0.2

+   0.07

Expanded Factors Form:

   56.27 =

 5 × 10  

+ 6 × 1  

+ 2 ×   0.1

+ 7 ×   0.01

Expanded Exponential Form:

 56.27 =

5 × 101

+ 6 × 100

+ 2 × 10-1

+ 7 × 10-2

Word Form:

56.27 =

fifty-six and twenty-seven hundredths

5 0
2 years ago
Agent Bond is standing on a bridge, 13.5 m above the road below, and his pursuers are getting too close for comfort. He spots a
Scrat [10]

Answer:

Step-by-step explanation:

Eek!  Let's give this a go. Things we know:

acceleration of Bond in free fall is -9.8 m/s/s

velocity of the truck is 25 m/s

displacement Bond will travel when he jumps is -10 m

What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.

Our displacement equation is

Δx = v₀t + 1/2at²

Filling in we have

-10=25t+\frac{1}{2}(-9.8)t^2

Simplifying we get

-10=25t-4.9t^2

This is a quadratic that needs to be solved however you personally solve quadratics.  When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds.  Many things in physics can be negative, like velocity and acceleration, but time NEVER will be.  So it takes Bond 5.5 seconds to drop to the roof of the moving truck.  That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.

Good luck with this!

Cheers!

6 0
3 years ago
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