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melamori03 [73]
4 years ago
9

Please solve this and show how you did. Thanks!!

Mathematics
1 answer:
kolbaska11 [484]4 years ago
5 0
4x+6<-6
-6 -6
-------------
4x<-12

Then you divide 4x on both sides so 4x divided by 4x and -12 divided by 4x. When dividing this the 4 isnt a negative so you dont flip the "<" so it stays the same. The answer would be x<-3
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The graph represents the function f(x)=x^2+3x+2
Svetllana [295]

To reflect a function across the x axis, we want to turn all the x values that were once positive negative and vice versa. That means we want f(-x), which is: f(x)=x^2+3x+2 \implies\\ f(-x)=(-x)^2+3(-x)+2 \implies\\ f(-x)=x^2-3x+2 =g(x)

6 0
4 years ago
The area of a rectangle is represented by the expression 2x2 + 10x + 12. Daniel is convinced that the dimensions of this rectang
maksim [4K]

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

A(x) = 2x(x+3)+4(x+3)

A(x) = (x+3)(2x+4)

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

3 0
3 years ago
Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be
storchak [24]

9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

8 0
3 years ago
Add:<br> -4 + 2 =<br> Submit
KatRina [158]

Answer:

-2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Five times a number minus eight is 17.5
alina1380 [7]

Answer:3.5

Step-by-step explanation:

5 times 3.5 = 17.5

5 0
3 years ago
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