1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masha68 [24]
3 years ago
9

Given f(x)=2x-4 and g(x)=-3x^2+5x determine f(3)-g(2)

Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

4

Step-by-step explanation:

Evaluate f(3) and g(2)

f(3) = 2(3) - 4 = 6 - 4 = 2

g(2) = - 3(2)² + 5(2) = - 3(4) + 10 = - 12 + 10 = - 2

Then

f(3) - g(2) = 2 - (- 2) = 2 + 2 = 4

You might be interested in
Can someone help me with 3,4 and 5? For 3 and 4 it's asking "what is the volume of each solid? Round to the nearest tenth if nec
Marianna [84]

Answer:

the answer 3,b

4,f

5,c

7 0
3 years ago
In order to reduce their debt, the Johnsons sold some real estate property valued at $165,000 for $143,000. They paid off a loan
Pepsi [2]
The correct answer is option "b", "<span>The Johnsons increased their liquid assets".

</span><span>The inquiry is giving us the accompanying situation: "so as to reduce their debt, the Johnson's sold some land property esteemed at $165,000 for $143,000. They paid off an advance adjust of $100,000 and put the rest in investment funds." We can see that they really lost cash - they got for the house not as much as the house is worth - they diminished their net esteem. Be that as it may, they have more money that they can utilize (the investment funds) - this is called liquid assets,  so the right answer is b, The Johnsons expanded their liquid assets.
</span>
6 0
3 years ago
Read 2 more answers
Help Me Please! I will give you 5 stars if your answer is correct!
lys-0071 [83]

Answer:

S

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

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

5 0
2 years ago
Read 2 more answers
The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation
motikmotik

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill

6 0
3 years ago
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
Other questions:
  • Oliver had to wash thirty-nine short sleeve shirts and forty-seven long sleeve shirts before school. If he had only washed twent
    13·1 answer
  • 5-7+6+(-3)-1-(-8) simplify
    12·1 answer
  • Karen is writing a word problem that can be represented by the equation 3x + 2 = 20. A box weighs 3 pounds and several 2 pound b
    10·1 answer
  • There are 2 pieces of licorese and 3 people how do u get every one a equal amount
    15·2 answers
  • Which function does this graph represent?
    15·2 answers
  • Find the Y equation of the line
    12·1 answer
  • Which is a factor of x2 + 8x – 48? A.(x – 6) B.(x + 4) C.(x – 16) D.(x + 12) EDGE
    11·2 answers
  • Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
    9·1 answer
  • M+x=n- p , for x<br> A) X=-p+n+m<br> B) x=-m+n-p<br> C) x=m- n + p<br> D) x=-m-n+p
    11·1 answer
  • I need help please!:D
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!