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3 years ago

The table represents a function.

Mathematics

1 answer:

Maslowich3 years ago

3 0

-1

Step-by-step explanation:

..................

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If f(x)=-x^2+6x-1 and g(x) =3x^2-4x-1, find (f-g)(x)

asambeis [7]

Answer:

Step-by-step explanation:

Given,

$f(x)=-x^{2} +6x-1\\g(x)=3x^{2} -4x-1$

we know,

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

So, here we get

(f-g)(x)

=f(x)-g(x)

= $-x^{2} +6x-1-(3x^{2} -4x-1)$

= $-x^{2} +6x-1-3x^{2} +4x+1$

= $-x^{2}-3x^{2} +6x+4x-1+1$

= $-4x^{2} +10x$

So, the answer is

$-4x^{2} +10x$

8 0

3 years ago

Read 2 more answers

A student wants to construct the inscribed circle of a triangle. What is the first step she should take?

Leviafan [203]

D) construction of the angle bisector.
So if you have a triangle that is not equilateral the perpendicular bisectors would not work so you need angle bisectors.
I have drawn a diagram
The green is the angle bisectors and the yellow the perpendicular bisectors.
You can see the problem straight away

4 0

3 years ago

Read 2 more answers

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0

3 years ago

Does anyone know how to do this question ??

Viktor [21]

Y^2-9^2

(y-9)(y+9)

To see if its right:

y*y+y*9-9*y-9*9
y^2+9y-9y-81
y^2-9^2

4 0

3 years ago

I need some help on this math problem, thanks so much

bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0

3 years ago